The mixed initial-boundary value problem for quasilinear hyperbolic systems with linearly degenerate characteristics

DOI10.1016/j.na.2008.12.002zbMath1195.35204OpenAlexW2095495529MaRDI QIDQ1026095

Zhi-Qiang Shao

Publication date: 24 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.12.002

zbMATH Keywords

nonlinear boundary conditionsglobal classical solutionhalf spacelinear degeneracysmall BV data

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items

Asymptotic behavior of global classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems with small BV data ⋮ Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data ⋮ A note on the asymptotic behavior of global classical solutions of diagonalizable quasilinear hyperbolic systems ⋮ Global existence of classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems of diagonal form with large BV data

Cites Work

• 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 weakly discontinuous solutions for hyperbolic conservation laws in the presence of a boundary
• Quasilinear hyperbolic systems
• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• Global classical solutions to quasilinear hyperbolic systems with weak linear degeneracy
• Cauchy problem for quasilinear hyperbolic systems
• 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
• The mixed initial-boundary value problem for reducible quasilinear hyperbolic systems with linearly degenerate characteristics
• Initial boundary value problem for the system of compressible adiabatic flow through porous media
• Blow-up of solutions to the initial-boundary value problem for quasilinear hyperbolic systems of conservation laws
• Global solution to the generalized Riemann problem in the presence of a boundary and contact discontinuities
• Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems
• Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms
• Global classical solutions for general quasilinear hyperbolic systems with decay initial data
• Semi-global \(C^1\) solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item