Results 71 to 80 of about 5,637,423 (161)
Blow up and quenching for a problem with nonlinear boundary conditions
Electronic Journal of Differential Equations, 2015 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(
Nuri Ozalp, Burhan Selcuk
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Differential Equations and Nonlinear Mechanics, 2007 This paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of ...
Zhoujin Cui, Zuodong Yang
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Blow-up of positive solutions of a semilinear parabolic equation with a gradient term
, 2003 We study the blow-up behavior (in time and space) of positive solutions of a semilinear parabolic equation with a gradient term. Our main result is a sharp estimate for the spatial blow-up profile of radially decreasing solutions on a ball.
Marek Fila (16071293) +5 more
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MATEC Web of Conferences, 2018 After the construction of an ultra-thin concrete pavement, ambient temperatures may induce an axial force within the pavement due to thermal expansion that can lead to the formation of a blow-up failure.
Mentz Johannes, Hartman Anton
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On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions [PDF]
, 1999 summary:We obtain some sufficient conditions under which solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions tend to zero or blow up in a finite time. We also give the asymptotic behavior of solutions which tend
Boni, Théodore K.
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International Journal of Analysis and Applications, 2014 This paper deals with the evolution r-Laplacian equation with absorption and nonlinear boundary condition. By using differential inequality techniques, global existence and blow-up criteria of nonnegative solutions are determined.
Iftikhar Ahmed, Chunlai Mu, Pan Zheng
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Joelho, 2017 During the decades following World War II, efforts were made to connect the rhetoric of the human scale with that of a superhuman, geographic or territorial scale.
Ákos Moravánszky
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Electronic Journal of Differential Equations, 2014 In this article, we study the $\omega$-diffusion equation on a graph with Dirichlet boundary conditions $$\displaylines{ u_t(x,t)=\Delta_{\omega}u(x,t)+e^{\beta t}u^{p}(x,t), \quad (x,t)\in S\times(0,\infty), \cr u(x,t)=0, \quad (x,t)\in \partial S ...
Weican Zhou, Miaomiao Chen, Wenjun Liu
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Blow-Up Phenomena for Nonlinear Reaction-Diffusion Equations under Nonlinear Boundary Conditions
Journal of Function Spaces, 2016 This paper deals with blow-up and global solutions of the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: g(u)t=∇·au∇u+fu in Ω×0,T, ∂u/∂n=bx,u,t on ∂Ω×(0,T), u(x,0)=u0(x)>0, in Ω¯, where Ω⊂RN (N≥2) is a ...
Juntang Ding
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Estimates of blow-up time for a non-local problem modelling an Ohmic heating process
, 2002 We consider an initial boundary value problem for the non-local equation, ut = uxx+λf(u)/(∫1-1f (u)dx)2, with Robin boundary conditions. It is known that there exists a critical value of the parameter λ, say λ*, such that for λ > λ* there is no ...
Tzanetis, DE +8 more
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