Existence, Asymptotic Behaviour, and Blow up of Solutions for a Class of Nonlinear Wave Equations with Dissipative and Dispersive Terms

Given a Hamilton-Jacobi equation, a general result due to Barles-Souganidis [3] says that any \reasonable" approximation scheme (based f.e. on nite dierences, nite elements,

What makes the problem to be dis- cussed interesting is the fact that, due to several phys- ical considerations, the linear damping which is dis- tributed everywhere in the domain

By constructing a new auxiliary function and using Hopf’s maximum principles, we obtain the existence theorems of blow-up solutions, upper bound of blow-up time, and upper estimates

Recently, many powerful methods have been estab- lished and developed to carry out the integrations of NLPDEs of all kinds, such as the subsidiary ordinary differential equation

A couple of important issues are the integrability aspects that are important to move forward in this area of these nonlinear wave equations and the correspond- ing conservation

In the recent years, many direct methods have been developed to construct travelling wave solutions to the nonlinear partial differential equations (NLPDEs), such as the

On the convergence in distribution of measurable mul- tifunctions (random sets), normal integrands, stochastic processes and stochastic infima. On the construction of

For certain boundary blow-up problems on bounded, strongly pseudoconvex domains in C n with smooth boundary an estimate of the blow-up rate of solutions are given in terms of