No TVD Fields for 1-D Isentropic Gas Flow
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Publication:2841163
DOI10.1080/03605302.2012.755543zbMath1336.76032arXiv1202.0093OpenAlexW2053262792MaRDI QIDQ2841163
Helge Kristian Jenssen, Geng Chen
Publication date: 24 July 2013
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.0093
Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65)
Related Items (3)
Singularity Formation for the Compressible Euler Equations ⋮ Lack of BV bounds for approximate solutions to the \(p\)-system with large data ⋮ On finite time BV blow-up for the p-system
Cites Work
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- Existence in the large for quasilinear hyperbolic conservation laws
- Convergence of the viscosity method for isentropic gas dynamics
- Convergence of approximate solutions to conservation laws
- On the vacuum state for the isentropic gas dynamics equations
- Solutions in the large for the nonlinear hyperbolic conservation laws of gas dynamics
- Large-time behavior of solutions of initial and initial-boundary value problems of a general system of hyperbolic conservation laws
- Initial-boundary value problems for gas dynamics
- Global solutions of the relativistic Euler equations
- \(L^1\) stability estimates for \(n\times n\) conservation laws
- Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
- Global solutions for an extended class of hyperbolic systems of conservation laws
- Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws
- Well-posedness theory for hyperbolic conservation laws
- Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws
- Solutions in the large for nonlinear hyperbolic systems of equations
- Global solution for an initial boundary value problem of a quasilinear hyperbolic system
- Decay of solutions of systems of nonlinear hyperbolic conservation laws
- Solutions in the large for some nonlinear hyperbolic conservation laws
- Hyperbolic Conservation Laws in Continuum Physics
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