Results 61 to 70 of about 12,485 (201)
Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators
Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 265-284, January 2025.Abstract We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local–nonlocal operator L=−Δ+(−Δ)s$\mathcal {L}= -\Delta +(-\Delta)^s$, with a power‐like source term. We show that the so‐called Fujita phenomenon holds, and the critical value is exactly the same as for the fractional Laplacian.
Stefano Biagi +2 more
wiley +1 more source
Известия высших учебных заведений: Нефть и газ, 2018 The article deals with the classical mathematical model of filtration of two immiscible liquids in a non-deformable porous medium taking into account capillary forces. It is the Muskat - Leverett model. The model is based on the experimentally determined
I. G. Telegin, O. B. Bocharov
doaj +1 more source
Degenerate parabolic stochastic partial differential equations: Quasilinear case
The Annals of Probability, 2016 Published at http://dx.doi.org/10.1214/15-AOP1013 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org).
Debussche, Arnaud +2 more
openaire +5 more sources
A Uniformly Convergent Scheme for Singularly Perturbed Unsteady Reaction–Diffusion Problems
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In the present work, a class of singularly perturbed unsteady reaction–diffusion problem is considered. With the existence of a small parameter ε, (0 < ε ≪ 1) as a coefficient of the diffusion term in the proposed model problem, there exist twin boundary layer regions near the left end point x = 0 and right end point x = 1 of the spatial domain.
Amare Worku Demsie +3 more
wiley +1 more source
Higher integrability for obstacle problem related to the singular porous medium equation
Boundary Value Problems, 2020 In this paper we study the self-improving property of the obstacle problem related to the singular porous medium equation by using the method developed by Gianazza and Schwarzacher (J. Funct. Anal. 277(12):1–57, 2019).
Qifan Li
doaj +1 more source
Flow relaxation method in solving quasilinear parabolic equations [PDF]
Компьютерные исследования и моделирование, 2011 This article proposes a numeric method of solution of quasilinear parabolic equations, based on the flux approximation, describes the implementation of the method on a rectangular grid and presents numerical results.
Alexey I. Lobanov, V. A. Usenko
doaj +1 more source
Regularizations of forward‐backward parabolic PDEs
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract Forward‐backward parabolic equations have been studied since the 1980s, but a mathematically rigorous picture is still far from being established. As quite a number of new papers have appeared recently, we review in this work the current state of the art.
Carina Geldhauser
wiley +1 more source
Electronic Journal of Differential Equations, 2013 In this article, we study a class of nonlocal quasilinear parabolic variational inequality involving $p(x)$-Laplacian operator and gradient constraint on a bounded domain.
Mingqi Xiang, Yongqiang Fu
doaj
, 2013 In this work we consider the identifiability of two coefficients $a(u)$ and $c(x)$ in a quasilinear elliptic partial differential equation from observation of the Dirichlet-to-Neumann map.
Egger, Herbert +2 more
core +1 more source
Codimension two mean curvature flow of entire graphs
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We consider the graphical mean curvature flow of maps f:Rm→Rn$\mathbf {f}:{\mathbb {R}^{m}}\rightarrow {\mathbb {R}^{n}}$, m⩾2$m\geqslant 2$, and derive estimates on the growth rates of the evolved graphs, based on a new version of the maximum principle for properly immersed submanifolds that extends the well‐known maximum principle of Ecker ...
Andreas Savas Halilaj, Knut Smoczyk
wiley +1 more source