Konu "Blow-up" için listeleme
Toplam kayıt 6, listelenen: 1-6
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Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
(Academic Press Inc Elsevier Science, 2011-02-01)We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonnegative. Some well-known ... -
The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials
(IOP Publishing Ltd, 2011-04)This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity. The nonlocal nature of the ... -
Closing the gap in the purely elliptic generalized Davey-Stewartson system
(Pergamon-Elsevier Science Ltd, 2008-10-15)In this note we improve the results presented previously on global existence and global nonexistence for the Solutions of the purely elliptic generalized Davey-Stewartson system. These results left a gap in the parameter ... -
Global existence and nonexistence of solutions for a klein-gordon equation with exponential type nonlinear term
(Işık University Press, 2020)In this paper, the global existence and nonexistence of solutions for a KleinGordon equation, appearing in a variety of physical situations, with exponential type source term and supercritical initial energy (E(0) > d) are ... -
The non-homogeneous of semi-linear parabolic equation with integral conditions
(Işık University Press, 2021)In this paper we introduce another method to establish finite time blow-up. This method, introduce by Levine–Payne in the papers [3], [4] and is due to Levine (1973), uses the concavity of an auxiliary function I(t). -
Numerical simulation of blow-up solutions for the generalized Davey-Stewartson system
(Taylor & Francis Ltd, 2011-03)Blow-up solutions for the generalized Davey-Stewartson system are studied numerically by using a split-step Fourier method. The numerical method has spectral-order accuracy in space and first-order accuracy in time. To ...