Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data
From MaRDI portal
Publication:708540
DOI10.1016/j.nonrwa.2010.02.009zbMath1207.35221OpenAlexW2044659666MaRDI QIDQ708540
Publication date: 14 October 2010
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.02.009
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Degenerate hyperbolic equations (35L80)
Related Items (5)
Exact Riemann solver for non-convex relativistic hydrodynamics ⋮ On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries ⋮ Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: shocks and contact discontinuities ⋮ 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: rarefaction waves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- The dynamics of relativistic strings moving in the Minkowski space \(\mathbb{R}^{1+n}\)
- 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
- The mixed initial-boundary value problem for quasilinear hyperbolic systems with linearly degenerate characteristics
- Entropy solutions for linearly degenerate hyperbolic systems of rich type
- Nonlinear stability of rarefaction waves for a rate-type viscoelastic system
- Nonlinear stability of discrete shocks for systems of conservation laws
- Asymptotic stability of Riemann waves for conservation laws
- Nonlinear stability of shock fronts for a relaxation system in several space dimensions
- Stability of contact discontinuities under perturbations of bounded variation
- Global classical solutions to quasilinear hyperbolic systems with weak linear degeneracy
- \(L^1\) 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
- Hydrodynamic structure of the augmented Born-Infeld equations
- Hyperbolicity of the nonlinear models of Maxwell's equations
- Construction and qualitative behavior of the solution of the perturbated Riemann problem for the system of one-dimensional isentropic flow with damping
- Instability of rarefaction shocks in 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
- GLOBAL WEAKLY DISCONTINUOUS SOLUTIONS TO THE MIXED INITIAL–BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS
- 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
- Nonlinear stability of shock waves for viscous conservation laws
- The stability of multidimensional shock fronts
- Solutions in the large for nonlinear hyperbolic systems of equations
This page was built for publication: Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data