Continuous dependence in the large for some equations of gas dynamics

DOI10.1080/03605309808821397zbMath0927.35082OpenAlexW2025950566MaRDI QIDQ4220075

Rinaldo M. Colombo, Nils Henrik Risebro

Publication date: 11 November 1998

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

Full work available at URL: https://doi.org/10.1080/03605309808821397

zbMATH Keywords

Riemann semigroupweak entropy solutionsrelativistic Euler equationsequations of isentropic gas dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65)

Related Items (12)

Newtonian Limits and Global Stability of Shock Solutions for Piston Problem to the Relativistic Full Euler System ⋮ Wave front tracking in systems of conservation laws. ⋮ A new front tracking scheme for the ultra-relativistic Euler equations ⋮ Continuous dependence of entropy solutions to the Euler equations on the adiabatic exponent and Mach number ⋮ Periodic and almost periodic solutions of conservation laws: Global existence and decay ⋮ ON A CLASS OF HYPERBOLIC BALANCE LAWS ⋮ On the stability of the standard Riemann semigroup ⋮ Global solutions to the ultra-relativistic Euler equations ⋮ \(L^{1}\) stability of spatially periodic solutions in relativistic gas dynamics ⋮ Existence of nonclassical solutions in a pedestrian flow model ⋮ Well posedness of balance laws with boundary ⋮ A \(2\times 2\) hyperbolic traffic flow model

Cites Work

• Sufficient conditions for local existence via Glimm's scheme for large BV data
• Local existence of weak solutions to the quasi-linear wave equation for large initial values
• Global solutions of systems of conservation laws by wave-front tracking
• Global solutions of the relativistic Euler equations
• A simple approach to Glimm's interaction estimates
• The unique limit of the Glimm scheme
• The semigroup generated by \(2 \times 2\) conservation laws
• Hyperbolic systems of conservation laws II
• Continuous Dependence in Conservation Laws with Phase Transitions
• Solutions in the large for nonlinear hyperbolic systems of equations
• Solutions in the large for some nonlinear hyperbolic conservation laws

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