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 …
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 …
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 …
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 …
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 …
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 …
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 …
Résumé Dans cette thèse, nous étudions quelques approximations numériques de la solution des systèmes gouvernés par des équations aux dérivées partielles (EDP) de type …
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 …