2 hasil untuk "Burhan Selcuk"
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Artikel Jurnal
Blow up and quenching for a problem with nonlinear boundary conditions
In this article, we study the blow up behavior of the heat equation $ u_t=u_{xx}$ with $u_x(0,t)=u^{p}(0,t)$, $u_x(a,t)=u^q(a,t)$. We also study the quenching behavior of the nonlinear parabolic equation $v_t=v_{xx}+2v_x^{2}/(1-v)$ with $v_x(0,t)=(1-v(0,t))^{-p+2}$, $ v_x(a,t)=(1-v(a,t))^{-q+2}$…
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Artikel Jurnal
Quenching behavior of semilinear heat equations with singular boundary conditions
In this article, we study the quenching behavior of solution to the semilinear heat equation $$ v_t=v_{xx}+f(v), $$ with $f(v)=-v^{-r}$ or $(1-v)^{-r}$ and $$ v_x(0,t)=v^{-p}(0,t), \quad v_x(a,t) =(1-v(a,t))^{-q}. $$ For this, we utilize the quenching problem $u_t=u_{xx}$ with…