Global structure instability of Riemann solutions for general quasilinear hyperbolic systems of conservation laws in the presence of a boundary
From MaRDI portal
Publication:874960
DOI10.1016/j.jmaa.2006.07.078zbMath1121.35077OpenAlexW2053848111MaRDI QIDQ874960
Publication date: 10 April 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.078
First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)
Related Items (11)
Global solution to the generalized Riemann problem in the presence of a boundary and contact discontinuities ⋮ Shock reflection for a system of hyperbolic balance laws ⋮ Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: shocks and contact discontinuities ⋮ Global weakly discontinuous solutions for hyperbolic conservation laws in the presence of a boundary ⋮ Global structure stability of Riemann solutions for general hyperbolic systems of conservation laws in the presence of a boundary ⋮ Blow-up of solutions to the initial-boundary value problem for quasilinear hyperbolic systems of conservation laws ⋮ Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation laws with small BV data: rarefaction waves ⋮ The generalized nonlinear initial-boundary Riemann problem for linearly degenerate quasilinear hyperbolic systems of conservation laws ⋮ Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data ⋮ Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations ⋮ 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the blow-up for a discrete Boltzmann equation in the plane
- Shock reflection for general quasilinear hyperbolic systems of conservation laws
- Development of singularities in the motion of materials with fading memory
- Boundary conditions for nonlinear hyperbolic systems of conservation laws
- Mixed problems for nonlinear conservation laws
- Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
- Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation
- Boundary layers in weak solutions of hyperbolic conservation laws
- Steady supersonic flow past an almost straight wedge with large vertex angle.
- Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data
- Global classical solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems
- Blowup for nonlinear hyperbolic equations
- Boundary layers in weak solutions of hyperbolic conservation laws. II: Self-similar vanishing diffusion limits
- Formation of singularities for certain hyperbolic systems in one space dimension.
- On the breakdown of solutions to \(N\times N\) quasilinear hyperbolic systems
- Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities
- Boundary layers in weak solutions of hyperbolic conservation laws. III: Vanishing relaxation limits
- The generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws
- Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance laws
- Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: rarefaction waves
- Hyperbolic systems of conservation laws II
- Development of singularities in solutions of the equations of nonlinear thermoelasticity
- Global regularity and formation of singularities of solutions to first order quasilinear hyperbolic systems
- The existence of viscous profiles and admissibility for transonic shocks
- Formation of singularities in one-dimensional nonlinear wave propagation
- Shock reflection for the damped $P$-system
- A Note on the Formation of Singularities for Quasi-Linear Hyperbolic Systems
- Blowup of solutions to generalized Riemann problem for quasilinear hyperbolic systems of conservation laws
- Blow up of periodic solutions to quasilinear hyperbolic systems
- Global classical solutions for general quasilinear hyperbolic systems with decay initial data
- Singular limits for the Riemann problem. General diffusion, relaxation, and boundary conditions
- Breakdown of classical solutions to quasilinear hyperbolic systems
This page was built for publication: Global structure instability of Riemann solutions for general quasilinear hyperbolic systems of conservation laws in the presence of a boundary
