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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 $0e show that there are three kinds of blowup solutions in this equation. I... 
Supergravity as Generalised Geometry I: Type II Theories
Supergravity Generalised Geometry I High Energy Physics - Theory
2011/9/30
Abstract: We reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\bbR^+$ structure on th...
Stability Criteria and Turbulence Paradox Problem For Type II 3D Shears
Type II 3D shear turbulence paradox channel flow hydrodynamic stability
2010/12/16
There are two types of 3D shears in channel flows: (U(y, z), 0, 0)and (U(y), 0,W(y)). Both are important in organizing the phase space structures of the channel flows. Stability criteria of the type I...
Bianchi type II,III and V diagonal Einstein metrics re-visited
diagonal Einstein metrics re-visited minkowskian and euclidean
2010/4/2
We present, for both minkowskian and euclidean signatures, short derivations of the diagonal Einstein metrics for Bianchi type II, III and V. For the first two cases we show the integrability of the g...
Stability of limit cycle in a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
Delay differential equations stability/unstability
2010/9/14
In this paper we study the stability of the periodic solutions of a model set forth by M. A. Aziz Alaoui et al. [1, 11] with time delay, which describes the competition between the predator and prey. ...