Cauchy problem for quasilinear hyperbolic systems

From MaRDI portal
Publication:1589901

DOI10.2969/msjmemoirs/006010000zbMath0959.35003OpenAlexW632918734MaRDI QIDQ1589901

De-Xing Kong

Publication date: 14 December 2000

Published in: MSJ Memoirs (Search for Journal in Brave)

Full work available at URL: http://projecteuclid.org/euclid.msjm/1389985988




Related Items

Formation and propagation of singularities for $2\times 2$ quasilinear hyperbolic systemsCompletely linear degeneracy for quasilinear hyperbolic systemsSemilinear behavior for totally linearly degenerate hyperbolic systems with relaxationAsymptotic behavior of global classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems with small BV dataGlobal solution to the generalized Riemann problem in the presence of a boundary and contact discontinuitiesGlobal existence and blow-up phenomena of classical solutions for the system of compressible adiabatic flow through porous mediaGeometry of quasilinear hyperbolic systems with characteristic fields of constant multiplicityGlobal existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fieldsFormation of singularities in solutions to nonlinear hyperbolic systems with general sourcesGlobal stability of supersonic Euler flows in quasi-one-dimensional convergent nozzlesAsymptotic behavior of global classical solutions to Goursat problem of quasilinear hyperbolic systemsGlobal stability to steady supersonic flows with mass addition in one-dimensional ductGlobal weakly discontinuous solutions for hyperbolic conservation laws in the presence of a boundaryA note on ``Well-posedness theory for hyperbolic conservation lawsLife-span of classical solutions for one-dimensional hydromagnetic flowGlobal structure stability of Riemann solutions for general hyperbolic systems of conservation laws in the presence of a boundaryGlobal stability to steady supersonic solutions of the 1-D compressible Euler equations with frictionsThe generalized nonlinear initial-boundary Riemann problem for linearly degenerate quasilinear hyperbolic systems of conservation lawsBlowup of smooth solutions of a class of complex conservation lawsGlobal solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance lawsNonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materialsA note on the asymptotic behavior of global classical solutions of diagonalizable quasilinear hyperbolic systemsBlow-up of periodic solutions to reducible quasilinear hyperbolic systemsAsymptotic behavior of classical solutions of reducible quasilinear hyperbolic systems with characteristic boundariesGlobal classical solutions to partially dissipative quasilinear hyperbolic systemsThe mixed initial-boundary value problem for quasilinear hyperbolic systems with linearly degenerate characteristicsGlobal existence of classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems of diagonal form with large BV dataAnalysis of singularities for one-dimensional quasilinear hyperbolic systemsLong time behavior of classical solutions to the generalized Goursat problem of quasilinear hyperbolic systemsGlobal structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: rarefaction wavesGlobal structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuitiesGlobal existence of classical solutions of Goursat problem for quasilinear hyperbolic systems with BV data