Existence of global entropy solutions of a nonstrictly hyperbolic system

DOI10.1007/s00205-005-0379-0zbMath1178.76303OpenAlexW2025331544MaRDI QIDQ2571080

Yun-Guang Lu

Publication date: 3 November 2005

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

Full work available at URL: https://doi.org/10.1007/s00205-005-0379-0

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (12)

Vanishing flux perturbation, pressure, and magnetic field limit in a Chaplygin magnetogasdynamics ⋮ The limit behavior of Riemann solutions to the Euler equations of compressible fluid flow for the modified Chaplygin gas ⋮ Existence of global solutions to isentropic gas dynamics equations with a source term ⋮ The Riemann problem for one-dimensional generalized Chaplygin gas dynamics ⋮ The limits of Riemann solutions to Euler equations of compressible fluid flow with a source term ⋮ Global existence of solutions for a nonstrictly hyperbolic system ⋮ Strong entropy for system of isentropic gas dynamics ⋮ Global entropy solutions to a variant of the compressible Euler equations ⋮ Concentration and cavitation in the vanishing pressure limit of solutions to the generalized Chaplygin Euler equations of compressible fluid flow ⋮ Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow ⋮ Existence of global weak solutions to a special system of Euler equation with a source. II: General case ⋮ Self-similar solutions to the spherically-symmetric Euler equations with a two-constant equation of state

Cites Work

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• On the connection between Hamiltonian many-particle systems and the hydrodynamical equations
• Convergence of the viscosity method for a nonstrictly hyperbolic conservation law
• Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
• An integro-differential equation modelling a Newtonian dynamics and its scaling limit
• Kinetic formulation for chromatography and some other hyperbolic systems
• Hydrodynamic limits of the vlasov equation
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Convergence of the viscosity method for some nonlinear hyperbolic systems
• Solutions in the large for nonlinear hyperbolic systems of equations
• Global solutions to a class of nonlinear hyperbolic systems of equations

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