Blowup Estimates for a Semilinear Reaction Diffusion System
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 کاملBlowup Rate Estimate for a System of Semilinear Parabolic Equations
In this paper, we study the blowup rate estimate for a system of semilinear parabolic equations. The blowup rate depends on whether the two components of the solution of this system blow up simultaneously or not.
متن کاملA Blowup Problem of Reaction Diffusion Equation Related to the Diffusion Induced Blowup Phenomenon
This work studies nonnegative solutions for the Cauchy, Neumann, and Dirichlet problems of the logistic type equation ut = ∆u+ μu p − a(x)u with p, q > 1, μ > 0. The finite time blowup results for nonnegative solutions under various restrictions on a(x), p, q, μ are presented. Applying the results allows one to construct some reaction diffusion systems with
متن کاملBlowup Analysis for a Nonlocal Reaction Diffusion Equation with Potential
In this paper we investigate a nonlocal reaction diffusion equation with potential, under Neumann boundary. We obtain the complete classification of the parameters for which the solution blows up in finite time or exists globally. Moreover, we study the blowup rate and the blowup set for the blowup solution. Key–Words: Nonlocal diffusion, Blow up, Blowup rate, Blowup set
متن کاملBlowup estimates for observability of a thermoelastic coupled system
Sharp blowup rates are established for the minimal energy (equivalently, for observability estimates) when the control time T → 0. As in, e.g., [10], [14], [12] the blowup estimates obtained with boundary controls are of the order eO(1/T ) and, as specified by the finite dimensional analysis of [11], are of the order O(T−5/2) for the case of internal controls. The dependence of these blowup est...
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: Journal of Mathematical Analysis and Applications
سال: 2001
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7289