Publikationen
2025
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WILD SOLUTIONS OF THE 3D AXISYMMETRIC EULER EQUATIONS
In: SIAM Journal on Mathematical Analysis 57 (2025), S. 996-1020
ISSN: 0036-1410
DOI: 10.1137/24M1653914
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Beyond incompatibility: Trade-offs between mutually exclusive fairness criteria in machine learning and law
In: Artificial Intelligence 340 (2025), Art.Nr.: 104280
ISSN: 0004-3702
DOI: 10.1016/j.artint.2024.104280
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2024
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On the vanishing viscosity limit for 3D axisymmetric flows without swirl
In: Nonlinear Analysis-Real World Applications 77 (2024), Art.Nr.: 104066
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2024.104066
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2023
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A general convex integration scheme for the isentropic compressible Euler equations
In: Journal of Hyperbolic Differential Equations 20 (2023), S. 95-117
ISSN: 0219-8916
DOI: 10.1142/S0219891623500042
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Probabilistic Descriptions of Fluid Flow: A Survey
In: Journal of Mathematical Fluid Mechanics 25 (2023), Art.Nr.: 52
ISSN: 1422-6928
DOI: 10.1007/s00021-023-00800-z
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Which Measure-Valued Solutions of the Monoatomic Gas Equations are Generated by Weak Solutions?
In: Archive for Rational Mechanics and Analysis 247 (2023), Art.Nr.: 61
ISSN: 0003-9527
DOI: 10.1007/s00205-023-01886-5
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Statistical solutions of the two-dimensional incompressible Euler equations in spaces of unbounded vorticity
In: Journal of Functional Analysis 284 (2023), Art.Nr.: 109777
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2022.109777
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2022
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Weak–strong uniqueness for the isentropic Euler equations with possible vacuum
In: Partial Differential Equations and Applications 3 (2022), Art.Nr.: 54
ISSN: 2662-2963
DOI: 10.1007/s42985-022-00191-2
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A note on measure-valued solutions to the full Euler system
In: Applications of Mathematics 67 (2022), S. 419-430
ISSN: 0862-7940
DOI: 10.21136/AM.2021.0279-20
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2021
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Nonunique admissible weak solutions of the compressible Euler equations with compact support in space
In: SIAM Journal on Mathematical Analysis 53 (2021), S. 795-812
ISSN: 0036-1410
DOI: 10.1137/20M1367015
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On the selection of measure-valued solutions for the isentropic Euler system
In: Journal of Differential Equations 271 (2021), S. 979-1006
ISSN: 0022-0396
DOI: 10.1016/j.jde.2020.09.028
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On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity
In: Nonlinearity 34 (2021), S. 3112-3121
ISSN: 0951-7715
DOI: 10.1088/1361-6544/abe51f
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Lower semi-continuity for A-quasiconvex functionals under convex restrictions
In: Esaim-Control Optimisation and Calculus of Variations 27 (2021), Art.Nr.: 107
ISSN: 1292-8119
DOI: 10.1051/cocv/2021105
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2020
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Energy conservation for the compressible euler and navier-stokes equations with vacuum
In: Analysis & Pde 13 (2020), S. 789-811
ISSN: 1948-206X
DOI: 10.2140/apde.2020.13.789
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Towards a Flexible Framework for Algorithmic Fairness
50. Jahrestagung der Gesellschaft fur Informatik, INFORMATIK 2020 - 50th Annual Conference of the German Informatics Society, INFORMATIK 2020 (Karlsruhe, DEU, 28.09.2020 - 02.10.2020)
In: Ralf H. Reussner, Anne Koziolek, Robert Heinrich (Hrsg.): Lecture Notes in Informatics (LNI), Proceedings - Series of the Gesellschaft fur Informatik (GI) 2020
DOI: 10.18420/inf2020_09
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Matching code and law: achieving algorithmic fairness with optimal transport
In: Data Mining and Knowledge Discovery 34 (2020), S. 163-200
ISSN: 1573-756X
DOI: 10.1007/s10618-019-00658-8
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2019
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Renormalization of active scalar equations
In: Nonlinear Analysis - Theory Methods & Applications 179 (2019), S. 254-269
ISSN: 0362-546X
DOI: 10.1016/j.na.2018.08.018
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Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws
In: Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences 475 (2019), Art.Nr.: 20190289
ISSN: 1364-5021
DOI: 10.1098/rspa.2019.0289
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On the Extension of Onsager’s Conjecture for General Conservation Laws
In: Journal of Nonlinear Science 29 (2019), S. 501-510
ISSN: 0938-8974
DOI: 10.1007/s00332-018-9496-4
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Onsager’s Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit
In: Communications in Mathematical Physics 370 (2019), S. 291-310
ISSN: 0010-3616
DOI: 10.1007/s00220-019-03493-6
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Weak-Strong Uniqueness in Fluid Dynamics
Cambridge University Press, 2019
ISBN: 9781108610575
DOI: 10.1017/9781108610575.012
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2018
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Relative entropy method for measure solutions of the growth-fragmentation equation
In: SIAM Journal on Mathematical Analysis 50 (2018), S. 5811-5824
ISSN: 0036-1410
DOI: 10.1137/18M117981X
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Statistical solutions and Onsager's conjecture
In: Physica D-Nonlinear Phenomena 376-377 (2018), S. 259-265
ISSN: 0167-2789
DOI: 10.1016/j.physd.2017.10.009
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Localised relative energy and finite speed of propagation for compressible flows
In: Journal of Differential Equations 265 (2018), S. 1467-1487
ISSN: 0022-0396
DOI: 10.1016/j.jde.2018.04.005
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2017
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A -free rigidity and applications to the compressible Euler system
In: Annali Di Matematica Pura Ed Applicata 196 (2017), S. 1557-1572
ISSN: 0373-3114
DOI: 10.1007/s10231-016-0629-9
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Failure of the chain rule for the divergence of bounded vector fields
In: Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 17 (2017), S. 1-18
ISSN: 0391-173X
DOI: 10.2422/2036-2145.201506_006
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Regularity and Energy Conservation for the Compressible Euler Equations
In: Archive for Rational Mechanics and Analysis 223 (2017), S. 1375-1395
ISSN: 0003-9527
DOI: 10.1007/s00205-016-1060-5
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GENERALIZED ENTROPY METHOD FOR THE RENEWAL EQUATION WITH MEASURE DATA
In: Communications in Mathematical Sciences 15 (2017), S. 577-586
ISSN: 1539-6746
DOI: 10.4310/CMS.2017.V15.N2.A13
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2016
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Dissipative measure-valued solutions to the compressible Navier–Stokes system
In: Calculus of Variations and Partial Differential Equations 55 (2016), Art.Nr.: 141
ISSN: 0944-2669
DOI: 10.1007/s00526-016-1089-1
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Orientation-preserving young measures
In: Quarterly Journal of Mathematics 67 (2016), S. 439-466
ISSN: 0033-5606
DOI: 10.1093/qmath/haw019
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2015
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Non-uniqueness and prescribed energy for the continuity equation
In: Communications in Mathematical Sciences 13 (2015), S. 1937-1947
ISSN: 1539-6746
DOI: 10.4310/CMS.2015.v13.n7.a12
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Weak-strong uniqueness for measure-valued solutions of some compressible fluid models
In: Nonlinearity 28 (2015), S. 3873-3890
ISSN: 0951-7715
DOI: 10.1088/0951-7715/28/11/3873
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Differential inclusions and young measures involving prescribed Jacobians
In: SIAM Journal on Mathematical Analysis 47 (2015), S. 1169-1195
ISSN: 0036-1410
DOI: 10.1137/140968860
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2014
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Non-uniqueness for the Euler equations: The effect of the boundary
In: Russian Mathematical Surveys 69 (2014), S. 189-207
ISSN: 0036-0279
DOI: 10.1070/RM2014v069n02ABEH004886
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2013
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Inviscid symmetry breaking with non-increasing energy
In: Comptes Rendus Mathematique 351 (2013), S. 907-910
ISSN: 1631-073X
DOI: 10.1016/j.crma.2013.10.021
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2012
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The vanishing viscosity as a selection principle for the Euler equations: The case of 3D shear flow
In: Comptes Rendus Mathematique 350 (2012), S. 757-760
ISSN: 1631-073X
DOI: 10.1016/j.crma.2012.09.005
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Young Measures Generated by Ideal Incompressible Fluid Flows
In: Archive for Rational Mechanics and Analysis 206 (2012), S. 333-366
ISSN: 0003-9527
DOI: 10.1007/s00205-012-0540-5
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2011
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Existence of weak solutions for the incompressible Euler equations
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 28 (2011), S. 727-730
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2011.05.002
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2021
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BEYOND BOGOLIUBOV DYNAMICS
In: Pure and Applied Analysis 3 (2021), S. 677-726
ISSN: 2578-5893
DOI: 10.2140/paa.2021.3.677
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2020
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Derivation of the 2d Gross–Pitaevskii Equation for Strongly Confined 3d Bosons
In: Archive for Rational Mechanics and Analysis 238 (2020), S. 541-606
ISSN: 0003-9527
DOI: 10.1007/s00205-020-01548-w
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Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons
In: Journal of Statistical Physics 178 (2020), S. 1362-1396
ISSN: 0022-4715
DOI: 10.1007/s10955-020-02500-8
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2019
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Derivation of the 1d Gross–Pitaevskii Equation from the 3d Quantum Many-Body Dynamics of Strongly Confined Bosons
In: Annales Henri Poincaré 20 (2019), S. 1003-1049
ISSN: 1424-0637
DOI: 10.1007/s00023-018-0738-7
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2018
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On the dipole approximation with error estimates
In: Letters in Mathematical Physics 108 (2018), S. 185-193
ISSN: 0377-9017
DOI: 10.1007/s11005-017-0999-y
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