Asymptotic behavior of global classical solutions to Goursat problem of quasilinear hyperbolic systems

Asymptotic behavior of global classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems with small BV data

In this paper, we investigate the asymptotic behavior of global classical solutions to the mixed initial-boundary value problem with small BV data for linearly degenerate quasilinear hyperbolic systems with general nonlinear boundary conditions in the half space {(t, x)|t ≥ 0, x ≥ 0}. Based on the existence result on the global classical solution, we prove that when t tends to the infinity, the...

Global Classical Solutions to a Kind of Mixed Initial-Boundary Value Problem for Inhomogeneous Quasilinear Hyperbolic Systems

Abstract In this paper, the mixed initial-boundary value problem for inhomogeneous quasilinear strictly hyperbolic systems with nonlinear boundary conditions in the first quadrant {(t, x)| t ≥ 0, x ≥ 0} is investigated. Under the assumption that the right hand side satisfies matching condition and the system is strictly hyperbolic and weakly linearly degenerate, we obtain the global existence a...

On Asymptotic Behavior of Global Solutions for Hyperbolic Hemivariational Inequalities

In this paper we study the existence of global weak solutions for a hyperbolic differential inclusion with a discontinuous and nonlinear multivalued term. Also we investigate the asymptotic behavior of solutions.

Asymptotic Behavior of Solutions to Quasilinear Hyperbolic Equations with Nonlinear Damping

Life - span of classical solutions to quasilinear hyperbolic systems with slow decay initial data

In this paper the author considers the lifespan of classical solutions to Cauchy problem for general rst order quasilinear strictly hyperbolic systems in two independent variables with \slow" decay initial data. By means of constructing an example, the author rst illustrates that the classical solution to this kind of Cauchy problem may blow up in a nite time, even if system is weakly linearly ...