Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation laws with small BV data: rarefaction waves

DOI10.1016/j.nonrwa.2018.05.017zbMath1405.35010OpenAlexW2809355469MaRDI QIDQ1994874

Zhi-Qiang Shao

Publication date: 2 November 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.05.017

zbMATH Keywords

nonlinear boundary conditionsclassical discontinuous solutionquasilinear hyperbolic system of conservation laws

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The generalized nonlinear initial-boundary Riemann problem for linearly degenerate quasilinear hyperbolic systems of conservation laws
• Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: shocks and contact discontinuities
• Sufficient conditions for local existence via Glimm's scheme for large BV data
• Global structure instability of Riemann solutions for general quasilinear hyperbolic systems of conservation laws in the presence of a boundary
• Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields
• Global structure stability of Riemann solutions for general hyperbolic systems of conservation laws in the presence of a boundary
• Supersonic flow past a nearly straight wedge
• Glimm's method and initial- boundary value problem
• Global classical solutions to quasilinear hyperbolic systems with weak linear degeneracy
• Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data
• The Riemann problem for the relativistic full Euler system with generalized Chaplygin proper energy density-pressure relation
• Global classical solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems
• Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities
• Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: rarefaction waves
• The generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws
• Existence and stability of supersonic Euler flows past Lipschitz wedges
• Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: rarefaction waves
• Hyperbolic systems of conservation laws II
• Formation of singularities in one-dimensional nonlinear wave propagation
• The stability of multidimensional shock fronts
• Resurrection of "Second Order" Models of Traffic Flow
• Traffic Flow on a Road Network Using the Aw–Rascle Model
• Solutions in the large for nonlinear hyperbolic systems of equations

This page was built for publication: Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation laws with small BV data: rarefaction waves