Results 41 to 50 of about 1,145 (69)

Gradient flow approach to an exponential thin film equation: global existence and latent singularity

open access: yes, 2018
In this work, we study a fourth order exponential equation, $u_t=\Delta e^{-\Delta u},$ derived from thin film growth on crystal surface in multiple space dimensions.
Gao, Yuan, Liu, Jian-Guo, Lu, Xin Yang
core   +1 more source

Behavior of different numerical schemes for population genetic drift problems [PDF]

open access: yes, 2016
In this paper, we focus on numerical methods for the genetic drift problems, which is governed by a degenerated convection-dominated parabolic equation.
Chen, Minxin   +4 more
core  

Extinction in finite time of solutions to the nonlinear diffusion equations involving p(x,t)-Laplacian operator

open access: yesBoundary Value Problems, 2013
The aim of this paper is to study the extinction of solutions of the initial boundary value problem for ut=div(|∇u|p(x,t)−2∇u)+b(x,t)|u|q−a0u. The authors discuss how the relations of p(x,t) and dimension N affect the properties of extinction in finite ...
Peng Sun, Mingji Liu, C. Cao
semanticscholar   +1 more source

Inverse coefficient problem for Grushin-type parabolic operators

open access: yes, 2013
The approach to Lipschitz stability for uniformly parabolic equations introduced by Imanuvilov and Yamamoto in 1998 based on Carleman estimates, seems hard to apply to the case of Grushin-type operators studied in this paper.
Beauchard, Karine, Cannarsa, Piermarco
core   +1 more source

Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]

open access: yesCalc Var Partial Differ Equ, 2021
Bögelein V   +3 more
europepmc   +1 more source

Existence of solutions to a diffusive shallow medium equation. [PDF]

open access: yesJ Evol Equ, 2021
Bögelein V, Dietrich N, Vestberg M.
europepmc   +1 more source

A vanishing dynamic capillarity limit equation with discontinuous flux. [PDF]

open access: yesZ Angew Math Phys, 2020
Graf M   +3 more
europepmc   +1 more source

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