Results 51 to 60 of about 5,637,423 (161)
Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation
We study the bifurcation phenomena of nonlinear waves described by a generalized Zakharov-Kuznetsov equation ut+au2+bu4ux+γuxxx+δuxyy=0. We reveal four kinds of interesting bifurcation phenomena.
Yun Wu, Zhengrong Liu
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Blow-Up Time for Nonlinear Heat Equations with Transcendental Nonlinearity
A blow-up time for nonlinear heat equations with transcendental nonlinearity is investigated. An upper bound of the first blow-up time is presented. It is pointed out that the upper bound of the first blow-up time depends on the support of the initial ...
Hee Chul Pak
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An adaptive numerical method for the wave equation with a nonlinear boundary condition
We develop an efficient numerical method for studying the existence and non-existence of global solutions to the initial-boundary value problem {gather*} u_{tt}=u_{xx}quad 00, u(x,0)=f(x),quad u_{t}(x,0)=g(x) quad ...
Azmy S. Ackleh, Keng Deng, Joel Derouen
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In this paper, we establish the results of nonexistence and existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator. Under some suitable growth conditions for nonlinearity, the result of nonexistence of blow-up solutions ...
Xinguang Zhang +3 more
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Blow-up Behavior for a Parabolic Equation With Spatially Dependent Coefficient
100學年度研究獎補助論文We study the initial boundary value problem and Cauchy problem for the semilinear heat equation with power nonlinearity and spatially dependent coefficient.
Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko +1 more
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Blow-Up Phenomena for a Non-Newton Filtration Equation with Local Linear Boundary Dissipation
In this article, we consider the finite time blow-up phenomenon for a class of non-Newton filtration equations with local linear boundary dissipation.
Xinru Zhou, Dengming Liu
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Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems [PDF]
summary:In this paper we establish new nonlinear Liouville theorems for parabolic problems on half spaces. Based on the Liouville theorems, we derive estimates for the blow-up of positive solutions of indefinite parabolic problems and investigate the ...
Földes, Juraj, Juraj Földes Nashville
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Erratum to: Instantons from blow-up
Corrected the authors’ affiliations. Affiliation a and c were swapped.
Joonho Kim +4 more
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Blow-up in reaction-diffusion equations with exponential and power-type nonlinearities [PDF]
In this dissertation we study blow-up phenomena in semilinear parabolic equations with both exponential and power-type nonlinearities. We study the behavior of the solutions as the blow-up moment in time and the blow-up point in space are approached ...
Pulkkinen, Aappo
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