Stability of traveling wave solutions to the initial-boundary value problem for diagonalizable quasilinear hyperbolic systems

DOI10.1016/j.nonrwa.2014.09.018zbMath1304.35194OpenAlexW2085092954MaRDI QIDQ475020

Fenglun Wei, Jianli Liu

Publication date: 25 November 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2014.09.018

zbMATH Keywords

stabilityinitial-boundary value problemtraveling wave solutionsweighted Glimm functional method

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial-boundary value problems for first-order hyperbolic systems (35L50) Traveling wave solutions (35C07)

Cites Work

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• Existence and stability of traveling wave solutions to first-order quasilinear hyperbolic systems
• Stability of traveling wave solutions to Cauchy problem of diagnolizable
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• The mixed initial-boundary value problem for diagonalizable quasilinear hyperbolic systems in the first quadrant
• Global classical solutions to quasilinear hyperbolic systems with weak linear degeneracy
• 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
• The equation for time-like extremal surfaces in Minkowski space R2+n
• Asymptotic behaviour of global classical solutions of diagonalizable quasilinear hyperbolic systems
• Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems
• Asymptotic behaviour of global classical solutions to the mixed initial-boundary value problem for diagonalizable quasilinear hyperbolic systems
• Global classical solutions for general quasilinear hyperbolic systems with decay initial data
• Initial-boundary value problem for the equation of timelike extremal surfaces in Minkowski space

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