Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric

DOI10.1007/s00526-012-0515-2zbMath1350.76054OpenAlexW2160841080WikidataQ115387491 ScholiaQ115387491MaRDI QIDQ1949410

Nicola Gigli, Felix Otto

Publication date: 7 May 2013

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-012-0515-2

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (8)

H-principle for the 2-dimensional incompressible porous media equation with viscosity jump ⋮ Incompressible immiscible multiphase flows in porous media: a variational approach ⋮ Algebraic contraction rate for distance between entropy solutions of scalar conservation laws ⋮ Degraded mixing solutions for the Muskat problem ⋮ Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations ⋮ Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D ⋮ Modes of Homogeneous Gradient Flows ⋮ Various formulations and approximations of incompressible fluid motions in porous media

Cites Work

• The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
• THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
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