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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bubbling and extinction for some fast diffusion equations in bounded domains
有界域 快速扩散方程 气泡 消光
2023/11/13
Motivated by the Wisconsin octupole experiments on anomalous diffusion of hydrogen plasma across a purely poloidal octupole magnetic field, Berryman-Holland 1980 proved the stability of separable solu...
Critical Multitype Branching Systems: Extinction Results
Critical branching particle system Extinction Markov renewal process
2011/8/22
Abstract: We consider a critical branching particle system in $\R^d$, composed of individuals of a finite number of types $i\in\{1,...,K\}$. Each individual of type $i$ moves independently according t...
Behaviour near extinction for the Fast Diffusion Equation on bounded domains
Nonlinear evolution singular parabolic fast di usion Harnack asymptotics
2011/1/18
We consider the Fast Di usion Equation ut = um posed in a bounded smooth domain
Rd with homogeneous Dirichlet conditions; the exponent range is ms = (d 2)+=(d + 2) < m < 1.It is known...
Extinction profile of the logarithmic diffusion equation
logarithmic diffusion equation extinction profile asymptotic behaviour
2011/1/19
Let u be the solution of ut = log u in RN × (0, T ), N ≥ 3, with initial value u0 satisfying Bk1 (x, 0) ≤ u0 ≤ Bk2(x, 0) for some constants k1 > k2 > 0 where Bk(x, t) = 2(N − 2)(T −t)N/(N...
Permanence and extinction of an impulsive single-species model with hereditary effect
Single-species model permanence extinction delay pulse
2010/9/14
In this paper we establish an impulsive single-species model with hereditary effect. Easily verifiable criteria for permanence and extinction of system are derived, respectively. A brief discussion is...
THE EXTINCTION IN NONAUTONOMOUS PREY-PREDATORLOTKA-VOLTERRA SYSTEMS
Nonautonomous Lotka-Volterra
2007/12/11
In this paper some new criteria about the extinction of solutions for two dimensional nonautonomous prey-predator Lotka-Volterra systems are established. The criteria obtained improve the results by G...