Symmetries and global solvability of the isothermal gas dynamics equations

DOI10.1007/s00205-004-0344-3zbMath1178.76302arXivmath/0701100OpenAlexW2058565893MaRDI QIDQ1770246

Vladimir Shelukhin, Philippe G. LeFloch

Publication date: 14 April 2005

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701100

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (11)

GLOBAL SOLUTION FOR ROTATING COMPRESSIBLE PLASMA FLOW WITH LARGE DATA ⋮ Finite Energy Method for Compressible Fluids: The Navier‐Stokes‐Korteweg Model ⋮ Existence and uniqueness of the global \(L^1\) solution of the Euler equations for Chaplygin gas ⋮ Logarithmic Schrödinger equation and isothermal fluids ⋮ Self-similar generalized Riemann problems for the 1-D isothermal Euler system ⋮ A NONLINEAR PARABOLIC APPROXIMATION OF THE EULER EQUATIONS FOR ISOTHERMAL GAS FLOWS ⋮ Weak continuity and compactness for nonlinear partial differential equations ⋮ Vanishing Viscosity Limit of the Compressible Navier--Stokes Equations with General Pressure Law ⋮ SYMMETRIC SOLUTIONS FOR TWO-BODY DYNAMICS IN A COLLISION PREVENTION MODEL ⋮ The isothermal limit for the compressible Euler equations with damping ⋮ ENTROPY-BASED MOMENT CLOSURE FOR KINETIC EQUATIONS: RIEMANN PROBLEM AND INVARIANT REGIONS

Cites Work

• Convergence of the viscosity method for isentropic gas dynamics
• Convergence of approximate solutions to conservation laws
• La compacité par compensation pour les systèmes hyperboliques nonlinéaires de deux équations à une dimension d'espace. (Compensated compactness for 2\(\times 2\) hyperbolic systems of conservation laws)
• Existence theorem in the variational problem for compressible inviscid fluids
• The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
• Convergence of the viscosity method for a nonstrictly hyperbolic conservation law
• Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
• Existence theory for the isentropic Euler equations
• Compressible Euler equations with general pressure law
• Kinetic formulation for systems of two conservation laws and elastodynamics
• Definition and weak stability of nonconservative products
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• An alternative proof of Di Perna's theorem
• A Quasi-linear Parabolic System for Three-Phase Capillary Flow in Porous Media
• GRAPH SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS
• Convergence of Viscosity Solutions for Isothermal Gas Dynamics
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Symmetries and global solvability of the isothermal gas dynamics equations