Browsing Mechanical Engineering by Subject "Boussinesq equation"
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Existence and stability of traveling waves for a class of nonlocal nonlinear equations
(Elsevier, 2015-05-01)In this article we are concerned with the existence and orbital stability of traveling wave solutions of a general class of nonlocal wave equations: utt−Luxx=B(±|u|p−1u)xx, p>1. The main characteristic of this class of ... -
Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations
(Elsevier, 2013-01)This study deals with the analysis of the Cauchy problem of a general class of nonlocal nonlinear equations modeling the bi-directional propagation of dispersive waves in various contexts. The nonlocal nature of the problem ... -
Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations
(Elsevier, 2014-01)In this paper we study the global existence and blow-up of solutions for a general class of nonlocal nonlinear wave equations with power-type nonlinearities, View the MathML source, where the nonlocality enters through two ...
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