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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Type II blowup solutions to the 5D semilinear heat equation with double power nonlinearity
双幂非线性 5D 双线性热方程 II型爆破解
2023/5/16
We will discuss the existence of blowup solutions to $u_t=\Delta u+|u|^\frac{4}{n-2}u-|u|^{q-1}u$ with $0ow that there are three kinds of blowup solutions in this equation. I... 
Perturbational Blowup Solutions to the 2-Component Camassa-Holm Equations
Perturbational Blowup 2-Component Camassa-Holm Equations
2011/1/19
In this article, we study the perturbational method to construct the non-radially symmet-ric solutions of the compressible 2-component Camassa-Holm equations. In detail, we first combine the substitut...
Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation
the blowup/global existence dichotomy the focusing cubic nonlinear Klein-Gordon equation
2010/11/15
We present some numerical findings concerning the nature of the blowup vs. global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation in three dimensions for radial data. The co...
This short paper is dedicated to Mauricio Peixoto who abstracted the practical theory of ODE's and to David Rand who applied the subsequent powerful abstract theory to practical problems.
On the Global Existence and Blowup Phenomena of Schrödinger Equations with Multiple Nonlinearities
Nonlinear Schr¨odinger equation Global existence Blow up in Nonlinear Schr¨odinger equation Global existence
2010/11/29
In this paper, we consider the global existence and blowup phenomena of the following Cauchy problem−iut = u − V (x)u + f(x, |u|2)u + (W ⋆ |u|2)u, x ∈ RN, t > 0,u(x, 0) = u0(x), x ...