Project supported in part by the National Natural Science Foundation of China(Grant No.11071177)
In this paper, the trial function method is extended to study the generalized nonlinear Schrodinger equation with time- dependent coefficients. On the basis of a generalized traveling wave transformation and a trial f...
Sponsored by the National Natural Science Foundation of China(11071177);NSF of Sichuan Science and Technology Department of China(2010JY0057);the NSF of Sichuan Education Department of China(11ZA102)
Existence and regularity of solutions to model for liquid mixture of 3He-4He is considered in this paper. First, it is proved that this system possesses a unique global weak solution in H^1 (Ω, C ×R) by using Gale...
supported by National Natural Science Foundation of China (Grant Nos. 11171241, 10801102,11071177);Sichuan Youth Science and Technology Foundation (Grant No. 07ZQ026-009);China Postdoctoral Science Foundation Funded Project
This paper deals with blowing up of solutions to the Cauchy problem for a class of general- ized Zakharov system with combined power-type nonlinearities in two and three space dimensions. On the one hand, for co = +o...
Supported by the National Natural Science Foundation of China (Grant No. 11071177);the Natural Science Foundation of Sichuan Education Department (No. 11ZA102)
The long-time behaviour of solution to chemotaxis-growth system with Neumann condition is considered in this paper. The approximate inertial manifolds of such equations are constructed based on the contraction princip...
supported in part by National Natural Science Foundation of China (GrantNos. 11001022 and 11071240);supported in part by National Natural Science Foundation of China(Grant Nos. 10801102,11171241 and 11071177)
In this paper,we prove that the solutions of magnetic Zakharov system converge to those of generalized Zakharov system in Sobolev space H s,s > 3/2,when parameter β→∞.Further,when parameter (α,β) →∞ together,we...