The quenching behavior of a general singular electrostatic Micro-Electro-Mechanical-System

L Zhu, Z Li, Z Zhang - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, we study the quenching behavior of a nonlinear diffusion equation with
singular absorption and singular boundary flux. Under certain conditions on the initial data …

[PDF][PDF] Blow up and quenching for a problem with nonlinear boundary conditions

N Ozalp, B Selcuk - Electron. J. Diff. Equ, 2015 - emis.de
In this article, we study the blow up behavior of the heat equation ut= uxx with ux (0, t)= up
(0, t), ux (a, t)= uq (a, t). We also study the quenching behavior of the nonlinear parabolic …

Quenching for a semilinear heat equation with a singular boundary outflux

B Selcuk, N Ozalp - International Journal of Applied Mathematics, 2016 - diogenes.bg
In this paper, we study the quenching behavior of solution of a semilinear heat equation with
a singular boundary outflux. We first get a local existence result for this problem. We prove …

Quenching behavior of a semilinear reaction-diffusion system with singularboundary condition

B Selcuk - Turkish Journal of Mathematics, 2016 - journals.tubitak.gov.tr
In this paper, we study the quenching behavior of the solution of a semilinear reaction-
diffusion system with singular boundary condition. We first get a local exisence result. Then …

[HTML][HTML] The quenching behavior of a quasilinear parabolic equation with double singular sources

L Zhu - Comptes Rendus Mathematique, 2018 - Elsevier
In this paper, we study the quenching behavior for a one-dimensional quasilinear parabolic
equation with singular reaction term and singular boundary flux. Under certain conditions on …

[PDF][PDF] Quenching behavior of semilinear heat equations with singular boundary conditions

B Selcuk, N Ozalp - Electron. J. Diff. Equ, 2015 - kurims.kyoto-u.ac.jp
In this article, we study the quenching behavior of solution to the semilinear heat equation
vt= vxx+ f (v), with f (v)=− v− r or (1− v)− r and vx (0, t)= v− p (0, t), vx (a, t)=(1− v (a, t))− q. For …

Quenching phenomenon for a non-Newtonian filtration equation with singular boundary flux

Y Yang - Boundary Value Problems, 2015 - Springer
This paper is concerned with the quenching phenomenon for the one-dimensional non-
Newtonian filtration equation with both source term and Neumann boundary condition. With …

[PDF][PDF] Quenching for a reaction-diffusion equation with weak singularities

B Selcuk - TWMS Journal of Applied and Engineering …, 2022 - jaem.isikun.edu.tr
This paper studies the following reaction-diffusion equation with a weak singular boundary
condition. The primary objective for this problem is to analyze the quenching properties. It is …

[PDF][PDF] Méthode numérique et asymptotique pour l'étude de l'extinction de certaines équations aux dérivées partielles de type parabolique avec conditions aux limites …

KCAP N'DRI - 2021 - cea-valopro.inphb.ci
Résumé Dans cette thèse, nous étudions quelques approximations numériques de la
solution des systèmes gouvernés par des équations aux dérivées partielles (EDP) de type …

Quenching estimates for a non-Newtonian filtration equation with singular boundary conditions

MA Beauregard, B Selcuk - arXiv preprint arXiv:1907.03796, 2019 - arxiv.org
In this paper, the quenching behavior of the non-Newtonian filtration equation $(\phi (u)) _
{t}=(\left\vert u_ {x}\right\vert^{r-2} u_ {x}) _ {x} $ with singular boundary conditions, $ u …