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  1. Startseite
  2. Angewandte Mathematik (Modellierung und Numerik)
  3. Mitarbeitende
  4. Prof. Dr. Günther Grün

Prof. Dr. Günther Grün

Bereichsnavigation: Angewandte Mathematik (Modellierung und Numerik)
  • Arbeitsgruppen
    • AG Applied Analysis (Friedrich)
    • AG Grün
    • AG Mathematics for Life Sciences (Neuss-Radu)
    • AG Mathematics of Data (Burger)
    • AG Porous Media (Ray)
  • Forschung
    • Discrete Structures
    • Inverse Problems
    • Machine Learning
    • Modeling of Materials
    • Multiscale Methods
    • PDEs
    • Variational Methods
  • Lehre
    • Abschlussarbeiten
    • Ingenieursmathematik
    • Integrated Life Sciences (ILS)
    • Lehrveranstaltungen
  • Mitarbeitende
    • Alice Lieu, PhD
    • Alicja Kerschbaum
    • Apratim Bhattacharya
    • Astrid Bigott
    • Cornelia Weber
    • Doris Schneider
    • Dr. Alexander Prechtel
    • Dr. Antonio Esposito
    • Dr. Daniel Tenbrinck
    • Dr. habil. Nicolae Suciu
    • Dr. habil. Raphael Schulz
    • Dr. Lea Föcke
    • Dr. Nadja Ray
    • Dr. Philipp Wacker
    • Dr. Stefan Metzger (AG Grün)
    • Jonas Knoch
    • Lorenz Klein (AG Grün)
    • Lorenz Kuger
    • Oliver Sieber (AG Grün)
    • Patrick Weiß (AG Grün)
    • PD Dr. Maria Neuss-Radu
    • Prof. Dr. Günther Grün
    • Prof. Dr. Manuel Friedrich
    • Prof. Dr. Martin Burger
    • Prof. Dr. Peter Knabner
    • Prof. Dr. Serge Kräutle
    • Prof. Dr. Wilhelm Merz
    • Sebastian Czop
    • Simon Zech
    • Stephan Gärttner
    • Tim Roith
    • Tobias Elbinger
  • Veranstaltungen
    • Winterseminar Kleinwalsertal
    • Workshop on Modelling, Analysis and Simulation of Processes in Porous Media

Prof. Dr. Günther Grün

Prof. Dr. Günther Grün

Prof. Dr. Günther Grün

Department Mathematik
Professur für Angewandte Mathematik (Analysis und Numerik partieller Differentialgleichungen) (Prof. Dr. Grün)

Raum: Raum 04.343
Cauerstraße 11
91058 Erlangen
  • Telefon: +49 9131 85-67220
  • Faxnummer: +49 9131 85-67225
  • E-Mail: gruen@math.fau.de
  • Webseite: https://www.math.fau.de/angewandte-mathematik-1/forschung/gruppe-prof-dr-gruen/prof-dr-guenther-gruen/

Lebenslauf

Short Curriculum Vitae

1986 – 1991 Study of Mathematics (Minor: Physics) at University of Bonn
1991 Diploma in Mathematics
1994 PhD in Mathematics, University of Bonn
1996 Marie-Curie-Research-Fellowship at Universita di Tor Vergata, Rome
2001 Habilitation in Mathematics, University of Bonn
2002 / 2003 Visiting Full Professorship at Duisburg University („Lehrstuhlvertretung C4“)
2006 – Professor at University of Erlangen-Nürnberg

Forschung

Um weitere Informationen über die Forschung von Herrn Prof Grün zu erhalten, besuchen Sie die Forschungsinteressen oder Projekte der Arbeitsgruppe Grün.

 

Schulen und Workshops

  • Section Applied Analysis as part of the Annual Meeting of Society of Applied Mathematics and Mechanics (GAMM) at FAU Erlangen-Nürnberg, March 10th-14th, 2014.
  • ITN-Springschool Optimization in pde, reaction-diffusion systems and phase-field models , Saint Raphael, Apr. 7th-12th, 2013, (with D. Hilhorst and G. Leugering).
  • ITN-Winterschool Mathematical models for wetting: analysis and numerics, Veilbronn, Feb. 13th-17th, 2012.
  • Mini-Symposium Modeling, Analysis, and Simulation of Transport Phenomena in Multi-Phase Flow as part of ICIAM2011, Vancouver, July 18th-22nd, 2011.
  • Workshop Phase-Field Models in Fluid Mechanics at Regensburg University, Feb. 14th-16th, 2011 (together with Helmut Abels and Harald Garcke).
  • Section Applied Analysis as part of the Annual Meeting of Society of Applied Mathematics and Mechanics (GAMM) at TU Karlsruhe, March, 22nd – 26th, 2010.
  • Mini-Symposium Nichtlineare partielle Differentialgleichungen und Anwendungen as part of the Annual Meeting of Deutsche Mathematiker-Vereinigung (DMV) at Erlangen University, September, 19th – 23nd, 2008.
  • Mini-Symposium Nonlinear evolution equations and free boundary problems as part of the Annual Meeting of Deutsche Mathematiker-Vereinigung (DMV) at Bonn University, September, 18th – 22nd, 2006.
  • Member of Scientific Committee of the Conference Wetting: Theory and Experiment at Technion, Haifa, Israel, July, 3th – 7th, 2005.
  • Mini-Symposium Dünne viskose Filme/Thin liquid films as part of the Annual Meeting of Society of Applied Mathematics and Mechanics (GAMM) at TU Dresden, March, 21st – 27th, 2004.
  • Mini-Symposium Higher order evolution equations in continuum mechanics as part of ICIAM2003 , Sydney, July, 4th – 11th, 2003.

Projekte

  • Grenzflächen, komplexe Strukturen und singuläre Limiten in der Kontinuumsmechanik

    (Drittmittelfinanzierte Gruppenförderung – Gesamtprojekt)

    Laufzeit: 01-04-2018 - 30-09-2022
    Mittelgeber: DFG / Graduiertenkolleg (GRK)
    →Mehr Informationen
  • Ausbreitung freier Ränder unter Einfluss von Rauschen: Analysis und Numerik stochastischer degeneriert parabolischer Gleichungen

    (Drittmittelfinanzierte Einzelförderung)

    Laufzeit: 01-04-2018 - 31-03-2020
    Mittelgeber: Deutsche Forschungsgemeinschaft (DFG), DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
    URL: https://www1.am.uni-erlangen.de/~gruen/
    Abstract

    The porous-medium equation and the thin-film equation are prominent examples of nonnegativity preserving degenerate parabolic equations which give rise to free boundary problems with the free boundary at time t > 0 defined as the boundary of the solution’s support at that time.
    As they are supposed to describe the spreading of gas in a porous-medium or the spreading of a viscous droplet on a horizontal surface, respectively, mathematical results on the propagation of free boundaries become relevant in applications. In contrast to, e.g., the heat equation, where solutions to initial value problems with compactly supported nonnegative initial data
    instantaneously become globally positive, finite propagation and waiting time phenomena are characteristic features of degenerate parabolic equations.
    In this project, stochastic partial differential equations shall be studied which arise from the aforementioned degenerate parabolic equations by adding multiplicative noise in form of source terms or of convective terms. The scope is to investigate the impact of noise on the propagation of free boundaries, including in particular necessary and sufficient conditions for the occurrence
    of waiting time phenomena and results on the size of waiting times. Technically, the project relies both on rigorous mathematical analysis and on numerical simulation.

    →Mehr Informationen
  • Molekulare Kommunikationssysteme

    (FAU Funds)

    Laufzeit: 01-01-2017 - 31-12-2019
    URL: https://www.idc.tf.fau.de/efi-mcs/
    Abstract

    Neuentstehende Anwendungen in der Biologie, Nanotechnologie und Medizin machen die Vernetzung von Objekten und Maschinen mit Abmessungen im Nano- und Mikrometerbereich erforderlich. Traditionelle elektromagnetische Ansätze für den Entwurf entsprechender Kommunikationssysteme sind für solch kleine Größenordnungen nicht geeignet. In der Natur jedoch ist die Kommunikation zwischen Nano- und Mikro-Objekten, wie z.B. Bakterien und anderen Zellen, weit verbreitet. Dabei kommen oft Signalmoleküle als Informationsträger zum Einsatz, so dass ein natürliches molekulares Kommunikationssystem entsteht. Das Projekt bündelt die an der FAU vorhandene Expertise auf den Gebieten Elektrotechnik, Biologie, Materialwissenschaften, Mathematik und Nanomedizin, um – ausgehend von in der Natur vorkommenden Mechanismen und Prozessen – synthetische molekulare Kommunikationssysteme zu entwerfen und zu implementieren.

    →Mehr Informationen
  • Diffuse interface models for transport processes at fluidic interfaces

    (Drittmittelfinanzierte Gruppenförderung – Teilprojekt)

    Titel des Gesamtprojektes: SPP 1506: Fluide Grenzflächen
    Laufzeit: 01-06-2013 - 31-10-2017
    Mittelgeber: DFG / Schwerpunktprogramm (SPP)
    Abstract

    In recent years, diffuse interface models turned out to be a promising approach to describe fundamental features of two-phase flow like droplet break-up or coalescence. In the second funding period, novel thermodynamical consistent phase-field models for species transport in two-phase flow shall be derived with an emphasis on soluble surfactants. Additional phenomena -- ranging from microscale effects like molecule orientation over thermal effects to electrostatic interactions -- shall be included as well. On this basis, new sharp-interface models shall be derived by formal asymptotic analysis.
    For selected diffuse-interface models, existence of solutions and stability of fluidic interfaces will be investigated by rigorous mathematical analysis. Stable numerical schemes shall be formulated and implemented in two and three space dimensions. By numerical simulations, partially guided by the "Leitmassnahme" Taylor-flow, the models shall be validated and further improved. By numerical analysis, convergence shall be established for the prototypical problem of species transport in two-phase flow with general mass densities.

    →Mehr Informationen
  • Diffuse interface models for transport processes at fluidic interfaces

    (Drittmittelfinanzierte Gruppenförderung – Teilprojekt)

    Titel des Gesamtprojektes: SPP 1506: Fluide Grenzflächen
    Laufzeit: 01-04-2010 - 30-04-2013
    Mittelgeber: DFG / Schwerpunktprogramm (SPP)
    Abstract

    Topological transitions like droplet coalescence or droplet break-up are fundamental features of two-phase flows. In recent years, diffuse interface models turned out to be a promising approach to describe such phenomena. Species transport across fluidic interfaces and the effects exerted by soluble and insoluble surfactants are additional issues of still increasing technological importance. For those phenomena, novel thermodynamically consistent diffuse interface models shall be developed taking in particular general densities into account. Based on rigorous mathematical analysis, existence and qualitative behaviour of solutions will be investigated, this way enhancing the understanding of the fundamental model properties. Starting from energy and entropy inequalities, stable and convergent numerical schemes shall be formulated and implemented in two and three spatial dimensions. By numerical simulations, the models shall be validated and further improved.

    →Mehr Informationen
  • Fronts and Interfaces in Science and Technology

    (Drittmittelfinanzierte Gruppenförderung – Teilprojekt)

    Titel des Gesamtprojektes: Fronts and Interfaces in Science and Technology
    Laufzeit: 01-02-2010 - 31-12-2013
    Mittelgeber: EU - 7. RP / People / Initial Training Networks (ITN)
    Abstract

    With this network, the universities of Bath, Eindhoven, Erlangen, Haifa (Technion), Madrid (Complutense), Paris (Orsay), Rome (La Sapienza), Zürich and the industrial partners EGIS and SIEMENS AG foster a joint training platform for PhD-students working on analysis and control of interfacial phenomena. Applications range from image processing over reaction-diffusion systems to complex multi-phase flow.
    FAU is involved in three projects, guided by Proff. Grün, Knabner, and Leugering. The first one is concerned with the effects electric fields have on two-phase flow with electrolyte solutions. The goal is to derive thermodynamically consistent diffuse-interface models for general mass densities and ion distributions and to prove existence and regularity of solutions.
    The second one is a tandem project with Prof. Peletier (TU Eindhoven) devoted to contaminant flow in porous media. There is experimental evidence that attachment to colloids strongly enhances contaminant transport. Derivation and analysis of appropriate multi-scale models are in the focus of this project.
    Prof. Leugering's project -- jointly with Prof. Coron (University Pierre et Marie Curie, Paris) -- is devoted to optimal control and stabilization of flow of gas, water, and traffic in networked pipe- and road-systems. It focusses on reachability and stabilizability properties under constraints both in states and controls and on the derivation of appropriate sensitivities for a numerical treatment of optimal controls for systems of realistic size.

    →Mehr Informationen

Veröffentlichungen

2022

  • Grün G., Klein L.:
    Zero-contact angle solutions to stochastic thin-film equations
    In: Journal of Evolution Equations 22 (2022)
    ISSN: 1424-3199
    DOI: 10.1007/s00028-022-00818-2
    BibTeX: Download
  • Metzger S., Grün G.:
    Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions
    In: Interfaces and Free Boundaries 24 (2022), S. 307-387
    ISSN: 1463-9971
    DOI: 10.4171/IFB/476
    BibTeX: Download

2021

  • Dareiotis K., Gess B., Gnann M., Grün G.:
    Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise
    In: Archive for Rational Mechanics and Analysis (2021)
    ISSN: 0003-9527
    DOI: 10.1007/s00205-021-01682-z
    BibTeX: Download
  • Dirr N., Grillmeier H., Grün G.:
    ON STOCHASTIC POROUS-MEDIUM EQUATIONS WITH CRITICAL-GROWTH CONSERVATIVE MULTIPLICATIVE NOISE
    In: Discrete and Continuous Dynamical Systems 41 (2021), S. 2829-2871
    ISSN: 1078-0947
    DOI: 10.3934/dcds.2020388
    BibTeX: Download
  • Grün G., Weiß P.:
    On the Field-Induced Transport of Magnetic Nanoparticles in Incompressible Flow: Existence of Global Solutions
    In: Journal of Mathematical Fluid Mechanics 23 (2021), Art.Nr.: 10
    ISSN: 1422-6928
    DOI: 10.1007/s00021-020-00523-5
    BibTeX: Download

2019

  • Grün G., Weiß P.:
    On the field-induced transport of magnetic nanoparticles in incompressible flow: Modeling and numerics
    In: Mathematical Models & Methods in Applied Sciences (2019)
    ISSN: 0218-2025
    DOI: 10.1142/S0218202519500477
    BibTeX: Download

2018

  • Grün G., Fischer J.:
    Existence of positive solutions to stochastic thin-film equations
    In: SIAM Journal on Mathematical Analysis 50 (2018), S. 411-455
    ISSN: 0036-1410
    BibTeX: Download
  • Grün G., Grillmeier H.:
    Nonnegativity preserving convergent schemes for the stochastic porous-medium equation
    In: Mathematics of Computation (2018), S. 1021-1059
    ISSN: 0025-5718
    DOI: 10.1090/mcom/3372
    BibTeX: Download

2017

  • Grün G., Metzger S.:
    Micro-macro-models for two-phase flow of dilute polymeric solutions: macroscopic limit, analysis, numerics
    In: Advances in Mathematical Fluid Mechanics, Springer, 2017, S. 291-303 (Transport processes at fluidic interfaces)
    BibTeX: Download
  • Grün G., Metzger S., Abels H., Garcke H.:
    Diffuse interface models for incompressible two-phase flows with different densities
    In: Advances in Mathematical Fluid Mechanics, springer, 2017, S. 203-229 (Transport processes at fluidic interface)
    BibTeX: Download

2016

  • Grün G., Guillen-Gonzalez F., Metzger S.:
    On fully decoupled, convergent schemes for diffuse interface models for two-phase flow with general mass densities
    In: Communications in Computational Physics 19 (2016), S. 1473-1502
    ISSN: 1815-2406
    BibTeX: Download
  • Grün G., Metzger S.:
    On micro-macro-models for two-phase flow with dilute polymeric solutions -- modeling and analysis
    In: Mathematical Models & Methods in Applied Sciences 26 (2016), S. 823-866
    ISSN: 0218-2025
    DOI: 10.1142/S0218202516500196
    BibTeX: Download

2015

  • Grün G., Fischer J.:
    Finite speed of propagation and waiting times for the stochastic porous medium equation -- a unifying approach
    In: SIAM Journal on Mathematical Analysis 47 (2015), S. 825-854
    ISSN: 0036-1410
    BibTeX: Download

2014

  • Grün G., Klingbeil F.:
    Two-phase flow with mass density contrast: stable schemes for a thermodynamic consistent and frame-indifferent diffuse interface model
    In: Journal of Computational Physics 257 (2014), S. 708-725
    ISSN: 0021-9991
    BibTeX: Download

2013

  • Grün G.:
    On convergent schemes for diffuse interface models for two-phase flow of incompressible fluids with general mass densities
    In: SIAM Journal on Numerical Analysis 51 (2013), S. 3036-3061
    ISSN: 0036-1429
    DOI: 10.1137/130908208
    BibTeX: Download
  • Grün G., Fontelos MA.:
    On uniqueness results for an elliptic-parabolic system of pde arising in dynamic electrowetting
    In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 93 (2013), S. 777-788
    ISSN: 0044-2267
    BibTeX: Download

2012

  • Grün G., Abels H., Garcke H.:
    Thermodynamically consistent diffuse interface models for incompressible two-phase flows with different densities
    In: Mathematical Models & Methods in Applied Sciences 22 (2012), S. 1150013-1150052
    ISSN: 0218-2025
    BibTeX: Download
  • Grün G., Campillo Funollet E., Klingbeil F.:
    On modeling and simulation of electrokinetic phenomena in two-phase flow with general mass densities
    In: SIAM Journal on Applied Mathematics 72 (2012), S. 1899-1925
    ISSN: 0036-1399
    BibTeX: Download
  • Grün G., Fontelos MA., Kindelan U., Klingbeil F.:
    Numerical simulation of static and dynamic electrowetting
    In: Journal of Adhesion Science and Technology 26 (2012), S. 1805-1824
    ISSN: 0169-4243
    BibTeX: Download

2011

  • Grün G., Fontelos MA., Jörres S.:
    On a phase-field model for electrowetting and other electrokinetic phenomena
    In: SIAM Journal on Mathematical Analysis 43 (2011), S. 527-563
    ISSN: 0036-1410
    BibTeX: Download

2009

  • Grün G., Eck C., Fontelos MA., Klingbeil F., Vantzos O.:
    A phase-field model for electrowetting
    In: Interfaces and Free Boundaries 11 (2009), S. 259-290
    ISSN: 1463-9963
    DOI: 10.4171/IFB/211
    BibTeX: Download

2007

  • Grün G., Eck C., Fontelos MA., Klingbeil F., Vantzos O.:
    A phase-field model for electrowetting and related phenomena
    In: Proceedings in Applied Mathematics and Mechanics 7 (2007), S. 1151205-1151207
    ISSN: 1617-7061
    BibTeX: Download

2006

  • Grün G., Giacomelli L.:
    Lower bounds on waiting time for degenerate parabolic equations and systems
    In: Interfaces and Free Boundaries 8 (2006), S. 111-129
    ISSN: 1463-9971
    BibTeX: Download
  • Grün G., Rauscher M., Mecke K.:
    Thin-film flow influenced by thermal noise
    In: Journal of Statistical Physics 122 (2006), S. 1261-1291
    ISSN: 0022-4715
    BibTeX: Download

2005

  • Grün G., Becker J.:
    The thin-film equation: recent advances and some new perspectives
    In: Journal of Physics: Condensed Matter 17 (2005), S. 291-307
    ISSN: 0953-8984
    DOI: 10.1088/0953-8984/17/9/002
    BibTeX: Download

2004

  • Grün G.:
    Droplet spreading under weak slippage: existence for the Cauchy problem
    In: Communications in Partial Differential Equations (2004), S. 1697-1744
    ISSN: 0360-5302
    BibTeX: Download
  • Grün G.:
    Droplet spreading under weak slippage: the waiting time phenomenon
    In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 21 (2004), S. 255-269
    ISSN: 0294-1449
    BibTeX: Download
  • Grün G., Becker J.:
    Some remarks on modelling and simulation of thin-film flow
    In: Proceedings in Applied Mathematics and Mechanics 4 (2004), S. 47-50
    ISSN: 1617-7061
    BibTeX: Download

2003

  • Becker J., Grün G., Seemann R., Manz H., Jacobs K., Mecke K., Blossey R.:
    Complex dewetting scenarios captured by thin-film models
    In: Nature Materials 2 (2003), S. 59-63
    ISSN: 1476-1122
    DOI: 10.1038/nmat788
    BibTeX: Download
  • Grün G.:
    Droplet spreading under weak slippage: a basic result on finite speed of propagation
    In: SIAM Journal on Mathematical Analysis 34 (2003), S. 992-1006
    ISSN: 0036-1410
    BibTeX: Download
  • Grün G.:
    On the convergence of entropy consistent schemes for lubrication type equations in multiple space dimensions
    In: Mathematics of Computation 72 (2003), S. 1251-1279
    ISSN: 0025-5718
    BibTeX: Download
  • Grün G., Becker J., Blossey R., Neto C., Jacobs K., Seemann R.:
    Correlated dewetting patterns in thin polystyrene films
    In: Journal of Physics: Condensed Matter 15 (2003), S. 421-426
    ISSN: 0953-8984
    BibTeX: Download
  • Grün G., Becker J., Blossey R., Neto C., Jacobs K., Seemann R.:
    Satellite hole formation during dewetting; experiment and simulation
    In: Journal of Physics: Condensed Matter 15 (2003), S. 3355-3366
    ISSN: 0953-8984
    BibTeX: Download
  • Grün G., Giacomelli L., Dal Passo R.:
    Waiting time phenomena for degenerate parabolic equations -- a unifying approach
    In: S. Hildebrandt, H. Karcher (Hrsg.): Geometric analysis and nonlinear partial differential equations, Heidelberg: Springer-Verlag, 2003, S. 637-648
    BibTeX: Download

2002

  • Grün G.:
    Droplet spreading under weak slippage: the optimal asymptotic propagation rate in the multi-dimensional case
    In: Interfaces and Free Boundaries 4 (2002), S. 309-323
    ISSN: 1463-9971
    BibTeX: Download
  • Grün G., Becker J., Lenz M., Rumpf M.:
    Numerical methods for fourth order nonlinear diffusion problems
    In: Applications of Mathematics 47 (2002), S. 517-543
    ISSN: 0862-7940
    BibTeX: Download
  • Grün G., Becker J., Rumpf M.:
    On space-time adaptive convergent finite element schemes for a general class of lubrication-type equations
    In: H.A. Mang, F.G. Rammerstorfer, J. Eberhardsteiner (Hrsg.): Proceedings of the 5th World Congress on Computational Mechanics, Vienna Technical University, 2002
    ISBN: 3-9501554-0-6

    BibTeX: Download
  • Grün G., Rumpf M., Lenz M.:
    A finite volume scheme for surfactant driven thin film flow
    In: R. Herbin, D. Krönger (Hrsg.): Proceedings of the Third International Symposium on Finite Volumes for Complex Applications, Hermes Penton Science, 2002, S. 567-574
    ISBN: 1-9039-9634-1

    BibTeX: Download

2001

  • Grün G.:
    On Bernis' interpolation inequalities in multiple space dimensions
    In: Zeitschrift für Analysis und ihre Anwendungen 20 (2001), S. 987-998
    ISSN: 0232-2064
    BibTeX: Download
  • Grün G., Bertozzi AL., Witelski T.:
    Dewetting films: Bifurcations and concentrations
    In: Nonlinearity 14 (2001), S. 1569-1592
    ISSN: 0951-7715
    BibTeX: Download
  • Grün G., Giacomelli L., Dal Passo R.:
    A waiting time phenomenon for thin film equations
    In: Annali della Scuola Normale Superiore di Pisa-Classe di Scienze XXX (2001), S. 437-463
    ISSN: 0391-173X
    BibTeX: Download
  • Grün G., Rumpf M.:
    Simulation of singularities and instabilities in thin film flow
    In: European Journal of Applied Mathematics 12 (2001), S. 293-320
    ISSN: 0956-7925
    BibTeX: Download

2000

  • Grün G., Rumpf M.:
    Nonnegativity preserving convergent schemes for the thin film equation
    In: Numerische Mathematik 87 (2000), S. 113-152
    ISSN: 0029-599X
    BibTeX: Download

1999

  • Grün G., Rumpf M.:
    Entropy consistent finite volume schemes for the thin film equation
    In: R. Vilsmeier, F. Benkhaldoun, D. Hänel (Hrsg.): Finite volume schemes for complex applications II, Hermes Science Publications, Paris, 1999
    BibTeX: Download

1998

  • Grün G., Bertsch M., Dal Passo R., Garcke H.:
    The thin viscous flow equation in higher space dimensions
    In: Advances in Differential Equations 3 (1998), S. 417-440
    ISSN: 1079-9389
    BibTeX: Download
  • Grün G., Garcke H., Dal Passo R.:
    On a fourth order degenerate parabolic equation: gobal entropy estimates and qualitative behavior of solutions
    In: SIAM Journal on Mathematical Analysis 29 (1998), S. 321-342
    ISSN: 0036-1410
    BibTeX: Download

1995

  • Grün G.:
    Degenerate parabolic equations of fourth order and a plasticity model with nonlocal hardening
    In: Zeitschrift für Analysis und ihre Anwendungen 14 (1995), S. 541-573
    ISSN: 0232-2064
    BibTeX: Download
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