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
Long time behavior of solutions to semilinear parabolic equations involving strongly degenerate elliptic differential operators [PDF]
, 2012 Pham Thi Thuy, N. M. Tri
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Leveraging Stochasticity for Open Loop and Model Predictive Control of Spatio-Temporal Systems. [PDF]
Entropy (Basel), 2021 Boutselis GI +3 more
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Reaction-Diffusion Pathways for a Programmable Nanoscale Texture of the Diamond-SiC Composite. [PDF]
Langmuir, 2022 Shevchenko VY +4 more
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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 $$\displaylines{ u_t=u_{xx}+(1+(T-t)^{-\alpha}\chi_{\{|x|0$ and p>0 We describe, in terms of the parameters when the solution is bounded and when it blows up.
Raul Ferreira
doaj
Recent results and open problems on parabolic equations with gradient nonlinearities
Electronic Journal of Differential Equations, 2001 We survey recent results and present a number of open problems concerning the large-time behavior of solutions of semilinear parabolic equations with gradient nonlinearities. We focus on the model equation with a dissipative gradient term $$u_t-Delta u=u^
Philippe Souplet
doaj
Imaging with spatio-temporal modelling to characterize the dynamics of plant-pathogen lesions. [PDF]
PLoS Comput Biol, 2023 Leclerc M +5 more
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Bounding the solutions of parametric weakly coupled second-order semilinear parabolic partial differential equations [PDF]
, 2016 Paul Azunre
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The work of Pierre Magal on differential equations, functional analysis and mathematical biology. [PDF]
J Math BiolDemongeot J, Hillen T, Ruan S, Webb G.
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