Results 91 to 100 of about 240 (185)
Electronic Journal of Differential Equations, 2011 For a given semilinear parabolic equation with polynomial nonlinearity, many solutions blow up in finite time. For a certain class of these equations, we show that some of the solutions which do not blow up actually tend to equilibria.
Michael Robinson
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Electronic Journal of Differential Equations, 2018 This article studies the existence and nonexistence of global solutions to the initial boundary value problems for semilinear wave and heat equation, and for Cauchy problem of nonlinear Schrodinger equation.
Runzhang Xu +4 more
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Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg-Landau equation. [PDF]
Proc Math Phys Eng Sci, 2020 Kostianko A.
europepmc +1 more source
Nonlinear viscoelasticity of strain rate type: an overview. [PDF]
Proc Math Phys Eng Sci, 2021 Şengül Y.
europepmc +1 more source
A mixed semilinear parabolic problem from combustion theory
Electronic Journal of Differential Equations, 2001 We prove existence, uniqueness, and regularity of the solution to a mixed initial boundary-value problem. The equation is semilinear uniformly parabolic with principal part in divergence form, in a non-cylindrical space-time domain.
Claudia Lederman +2 more
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Fluctuations Around a Homogenised Semilinear Random PDE. [PDF]
Arch Ration Mech Anal, 2021 Hairer M, Pardoux É.
europepmc +1 more source
Leveraging Stochasticity for Open Loop and Model Predictive Control of Spatio-Temporal Systems. [PDF]
Entropy (Basel), 2021 Boutselis GI +3 more
europepmc +1 more source
Reaction-Diffusion Pathways for a Programmable Nanoscale Texture of the Diamond-SiC Composite. [PDF]
Langmuir, 2022 Shevchenko VY +4 more
europepmc +1 more source
Blow-up for a semilinear heat equation with moving nonlinear reaction
Electronic Journal of Differential Equations, 2018 We study the behavior of solutions of the semilinear problem $$\displaylines{ u_t=u_{xx}+(1+(T-t)^{-\alpha}\chi_{\{|x|0$ and p>0 We describe, in terms of the parameters when the solution is bounded and when it blows up.
Raul Ferreira
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Recent results and open problems on parabolic equations with gradient nonlinearities
Electronic Journal of Differential Equations, 2001 We survey recent results and present a number of open problems concerning the large-time behavior of solutions of semilinear parabolic equations with gradient nonlinearities. We focus on the model equation with a dissipative gradient term $$u_t-Delta u=u^
Philippe Souplet
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