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Algebraic contraction rate for distance between entropy solutions of scalar conservation laws

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Publication:898872
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DOI10.1016/j.jmaa.2015.11.027zbMath1332.35216OpenAlexW369666488MaRDI QIDQ898872

Elias Esselborn, Nicola Gigli, Felix Otto

Publication date: 21 December 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.027


zbMATH Keywords

Burgers equationgradient flowWasserstein distancestability of the rarefaction wave


Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65)


Related Items

On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility



Cites Work

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  • Nonlinear mobility continuity equations and generalized displacement convexity
  • A new class of transport distances between measures
  • Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric
  • THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
  • Eulerian Calculus for the Contraction in the Wasserstein Distance
  • Hyperbolic Conservation Laws in Continuum Physics
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