نتایج جستجو برای: blow up rate

تعداد نتایج: 1761229  

Journal: :Mathematical Methods in the Applied Sciences 2004

Journal: :Journal of Mathematical Analysis and Applications 2020

2010
Dengming Liu Chunlai Mu

In this paper, we consider a semilinear parabolic equation ut = ∆u + u q ∫ t 0 u(x, s)ds, x ∈ Ω, t > 0 with nonlocal nonlinear boundary condition u|∂Ω×(0,+∞) = ∫ Ω φ(x, y)u (y, t)dy and nonnegative initial data, where p, q ≥ 0 and l > 0. The blow-up criteria and the blow-up rate are obtained.

2016
V. ROTTSCHÄFER M. J. WARD Vivi Rottschäfer Justin C. Tzou Michael J. Ward

For certain singularly perturbed two-component reaction-diffusion (RD) systems, the bifurcation diagram of steady-state spike solutions is characterized by a saddle-node behavior in terms of some parameter β in the system. For some such systems, such as the Gray-Scott model, a spike self-replication behavior is observed as a parameter varies across the saddle-node point. We demonstrate and anal...

Journal: :Bulletin of the Korean Mathematical Society 2015

2009
Ahmad Z. FINO Mokhtar KIRANE

In this paper, we investigate the local existence and the finite-time blow-up of solutions of semilinear parabolic system with nonlocal in time nonlinearity. In addition, we also give the blow-up rate and necessary conditions for local and global existence.

Journal: :Applied Mathematics and Computation 2011
Dusan Repovs

We are concerned with the qualitative analysis of positive singular solutions with blow-up boundary for a class of logistic-type equations with slow diffusion and variable potential. We establish the exact blow-up rate of solutions near the boundary in terms of Karamata regular variation theory. This enables us to deduce the uniqueness of the singular solution. 2011 Elsevier Inc. All rights res...

Journal: :JNW 2014
Jin Li

The paper deals with a degenerate and singular parabolic equation with nonlinear boundary condition. We first get the behavior of the solution at infinity, and establish the critical global existence exponent and critical Fujita exponent for the fast diffusive equation, furthermore give the blow-up set and upper bound of the blow-up rate for the nonglobal solutions.

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