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
DOI10.3934/cpaa.2015.14.759zbMath1312.35130OpenAlexW2317171265MaRDI QIDQ2339855
Publication date: 14 April 2015
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.759
shock wavecontact discontinuitynonlinear boundary conditionslifespanhalf spaceAw-Rascle modelgeneralized nonlinear initial-boundary Riemann problemquasilinear hyperbolic system of conservation lawsmodified Glimm's functionalpiecewise \(C^1\) solution
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Initial-boundary value problems for first-order hyperbolic systems (35L50)
Cites Work
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- 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
- Contact discontinuity with general perturbations for gas motions
- Nonlinear stability of rarefaction waves for a rate-type viscoelastic system
- Nonlinear stability of discrete shocks for systems of conservation laws
- Glimm's method and initial- boundary value problem
- Asymptotic stability of Riemann waves for conservation laws
- Nonlinear stability of shock fronts for a relaxation system in several space dimensions
- 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
- Well-posedness for hyperbolic systems of conservation laws with large BV data
- Global classical solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems
- \(L^1\) stability estimates for \(n\times n\) conservation laws
- Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
- Nonlinear stability of an undercompressive shock for complex Burgers equation
- Uniqueness and stability of Riemann solutions with large oscillation in gas dynamics
- Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities
- Stability of Riemann solutions with large oscillation for the relativistic Euler equations
- Construction and qualitative behavior of the solution of the perturbated Riemann problem for the system of one-dimensional isentropic flow with damping
- Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: rarefaction waves
- Instability of rarefaction shocks in systems of conservation laws
- The generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws
- Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: rarefaction waves
- Hyperbolic systems of conservation laws II
- Nonlinear stability of shock waves for viscous conservation laws
- Formation of singularities in one-dimensional nonlinear wave propagation
- 𝐿₁ stability for 2×2 systems of hyperbolic conservation laws
- Structural stability and regularity of entropy solutions to hyperbolic systems of conservation laws
- L_1 Stability of Conservation Laws with coinciding hugoniot and characteristic curves
- Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws
- Uniqueness and asymptotic stability of Riemann solutions for the compressible Euler equations
- 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
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