Browsing Mechanical Engineering by Subject "Global existence"
Now showing items 1-3 of 3
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The cauchy problem for a one-dimensional nonlinear elastic peridynamic model
(Elsevier, 2012-04-15)This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-posedness and smoothness of the solutions ... -
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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