Quenching behavior of a semilinear reaction-diffusion system with singularboundary condition
نویسندگان
چکیده
منابع مشابه
Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions
and Applied Analysis 3 1, 2, 6–9 and the references cited therein . For blowup results for other parabolic systems, we refer the readers to 10–13 and the references cited therein. Moreover, in recent years, many authors see studies such as those in 14, 15 and the references cited therein considered semilinear reaction-diffusion systems with nonlocal Dirichlet boundary conditions of the form ut ...
متن کاملQuenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms
we devote to investigate the quenching phenomenon for a reaction-diffusion system with coupled singular absorption terms, ut Δu − u−p1v−q1 , vt Δv − u−p2v−q2 . The solutions of the system quenches in finite time for any initial data are obtained, and the blow-up of time derivatives at the quenching point is verified. Moreover, under appropriate hypotheses, the criteria to identify the simultane...
متن کاملReaction-diffusion system with self-organized critical behavior
We describe the construction of a conserved reaction-diffusion system that exhibits self-organized critical (avalanche-like) behavior under the action of a slow addition of particles. The model provides an illustration of the general mechanism to generate self-organized criticality in conserving systems. Extensive simulations in d = 2 and 3 reveal critical exponents compatible with the universa...
متن کاملQuenching Behavior of Parabolic Problems with Localized Reaction Term
Let p, q, T be positive real numbers, B = {x ∈ R : ∥x∥ < 1}, ∂B = {x ∈ R : ∥x∥ = 1}, x∗ ∈ B, △ be the Laplace operator in R. In this paper, the following the initial boundary value problem with localized reaction term is studied: ut(x, t) = ∆u(x, t) + 1 (1− u(x, t))p + 1 (1− u(x∗, t))q , (x, t) ∈ B × (0, T ), u(x, t) = 0, (x, t) ∈ ∂B × (0, T ), u(x, 0) = u0(x), x ∈ B, where u0 ≥ 0. The existenc...
متن کاملA one-dimensional reaction/diffusion system with a fast reaction
We consider a system of second order ordinary differential equations describing steady state for a 3–component chemical system (with diffusion) in the case when one of the reactions is fast. We discuss the existence of solutions and the existence, uniqueness, and characterization of a limit as the rate of the fast reaction approaches infinity.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: TURKISH JOURNAL OF MATHEMATICS
سال: 2016
ISSN: 1300-0098,1303-6149
DOI: 10.3906/mat-1502-20