On uniqueness of dissipative solutions to the isentropic Euler system

DOI10.1080/03605302.2019.1629958zbMath1428.35325arXiv1903.11687OpenAlexW2955630451MaRDI QIDQ5239040

Animesh Jana, Shyam Sundar Ghoshal, Eduard Feireisl

Publication date: 21 October 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11687

zbMATH Keywords

weak solutionuniquenessEuler systemcompressible fluiddissipative solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (13)

Weak-strong uniqueness for the isentropic Euler equations with possible vacuum ⋮ Uniqueness of dissipative solutions to the complete Euler system ⋮ Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions ⋮ The time asymptotic expansion for the compressible Euler equations with time-dependent damping ⋮ On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions ⋮ The role of density in the energy conservation for the isentropic compressible Euler equations ⋮ Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces ⋮ A semi-implicit finite volume scheme for dissipative measure-valued solutions to the barotropic Euler system ⋮ Minimal acceleration for the multi-dimensional isentropic Euler equations ⋮ Generalized solutions to models of inviscid fluids ⋮ Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system ⋮ On the uniqueness of solutions to hyperbolic systems of conservation laws ⋮ Uniqueness and energy balance for isentropic Euler equation with stochastic forcing

Cites Work

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• On the energy dissipation rate of solutions to the compressible isentropic Euler system
• Regularity and energy conservation for the compressible Euler equations
• Convergence of the viscosity method for isentropic gas dynamics
• Compressible fluid flow and systems of conservation laws in several space variables
• On admissibility criteria for weak solutions of the Euler equations
• The second law of thermodynamics and stability
• Onsager's conjecture on the energy conservation for solutions of Euler's equation
• The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
• A counterexample to well-posedness of entropy solutions to the compressible Euler system
• STABILITY OF RAREFACTION WAVES AND VACUUM STATES FOR THE MULTIDIMENSIONAL EULER EQUATIONS
• Well/Ill Posedness for the Euler-Korteweg-Poisson System and Related Problems
• Uniqueness of rarefaction waves in multidimensional compressible Euler system
• Weak-strong uniqueness for measure-valued solutions of some compressible fluid models
• One-dimensional transport equations with discontinuous coefficients
• Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
• Global Ill‐Posedness of the Isentropic System of Gas Dynamics
• Weak Solutions to Problems Involving Inviscid Fluids

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