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On Convex Type Constrained Problems of First Order and Some Applications (J. F. Rodrigues, University of Lisbon, Portugal)

Mrz 17
17-03-2021 12:30 Uhr bis 13:30 Uhr
Online

On Convex Type Constrained Problems of First Order and Some Applications

Speaker: Prof. Dr. Jose Francisco Rodrigues
Affiliation: University of Lisbon, Portugal
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Abstract: We revisit old and new results on solutions to some classes of unilateral type problems for linear and nonlinear partial differential equations of first-order:
1 — obstacle problems for transport operators
2 — first-order problems with gradient constraints
3 — an obstacle-mass constrained problem for a scalar conservation law
These problems are motivated from examples in polyphasic flow in porous media, in population models, in the transported sand piles problem and in superconductivity.

https://en.www.math.fau.de/applied-analysis/