Well-posedness for hyperbolic systems of conservation laws with large BV data
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Publication:1766884
DOI10.1007/s00205-004-0325-6zbMath1065.35189OpenAlexW2017803119MaRDI QIDQ1766884
Publication date: 2 March 2005
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-004-0325-6
Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (18)
Solutions for a hyperbolic model of multi-phase flow ⋮ Open Questions in the Theory of One Dimensional Hyperbolic Conservation Laws ⋮ \(L^1\) well posedness of Euler equations with dynamic phase boundaries ⋮ Global Well-Posedness of Shock Front Solutions to One-Dimensional Piston Problem for Combustion Euler Flows ⋮ Examples and conjectures on the regularity of solutions to balance laws ⋮ Lack of BV bounds for approximate solutions to the \(p\)-system with large data ⋮ Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: shocks and contact discontinuities ⋮ On finite time BV blow-up for the p-system ⋮ Systems of hyperbolic conservation laws with a resonant moving source ⋮ On the stability functional for conservation laws ⋮ Non-relativistic limits and stability of composite wave patterns to the relativistic Euler equations ⋮ Two-Dimensional Steady Supersonic Exothermically Reacting Euler Flow past Lipschitz Bending Walls ⋮ Global solutions to the ultra-relativistic Euler equations ⋮ Global weak solutions for a model of two-phase flow with a single interface ⋮ Global stability of multi-wave configurations for the compressible non-isentropic Euler system ⋮ Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and Vasseur ⋮ Short-Time Stability of Scalar Viscous Shocks in the Inviscid Limit by the Relative Entropy Method ⋮ Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation laws with small BV data: shocks and contact discontinuities
Cites Work
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- Hyperbolic systems of conservation laws II
- Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws
- The stability of multidimensional shock fronts
- A variational calculus for discontinuous solutions of systems of conservation laws
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- Stability Conditions for Strong Rarefaction Waves
- Lyapunov Functional for Solutions of Systems of Conservation Laws Containing a Strong Rarefaction
- Front tracking for hyperbolic conservation laws
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