in part supported by the NNSF of China(No.10871040,11671075);supported in part by Ph.D.Innovative Fund of Donghua University(No.104-06-0019089);the Fund of Young Backbone Teacher in Henan Province(No.2018GGJS039);the Key Project of Science and Technology of Henan Province(Grant No.182102410069);supported by the National Natural Science Foundation of China(No.11801357)
This paper is concerned with the existence of pullback attractors for the three dimensional nonautonomous Navier-Stokes-Voight equations for the processes generated by the weak and strong solutions. The main difficult...
Supported by the NNSF of China(10871040);Supported by the Foundation of Shanghai(QD210006)
In this paper, we shall establish some global existence results for the higherdimensional nonhomogeneous, linear, semilinear and nonlinear Thermoelastic plates with memory respectively by using semigroup approach. The...
Supported by the National Natural Science Foundation of China (No. 10571024, No. 10871040)
This paper is concerned with the decay rate of solutions for a quasilinear wave equation with viscosity. We use a so-called energy perturbation method to establish decay rate of solutions in terms of energy norm for a...
In this paper, we prove the existence of the pullback attractor for the nonautonomous Benjamin-Bona-Mahony equations in H2 by establishing the pullback uniformly asymptotical compactness.
supported by the NNSF of China(11031003, 10871040, 10571024)
In this article, we study the large-time behavior of energy for a N-dimensional dissipative anisotropic elastic system. By means of multiplicative techniques, energy method, and Zuazua’s estimate technique, we prove ...
National Natural Science Foundations of China(No.70773075,No.10871040);Chinese Universities Scientific Fund(No.10D10911);State key Program of National Science of China(No.11031003);Mathematical Tianyuan Foundation of China(No.11026136)
The existence of pullback attractors for semi-uniformly dissipative dynamical systems under some asymptotic compactness assumptions is considered.A sufficient condition for the existence of pullback attractors is pres...
supported in part by the NSF of China (10571024,10871040);the grant of Prominent Youth of Henan Province of China (0412000100)
This article is concerned with the existence of maximal attractors in Hi (i = 1, 2, 4) for the compressible Navier-Stokes equations for a polytropic viscous heat conductive ideal gas in bounded annular domains Ωn i...
Foundation item: Supported by the National Natural Science Foundation of China(10647112, 10871040) Acknowledgement The authors are in debt to thank the helpful discussions with Prof Qin and Dr A P Deng.
A class of new doubly periodic wave solutions for (2+1)-dimensional KdV equation are obtained by introducing appropriate Jacobi elliptic functions and Weierstrass elliptic functions in the general solution(contain...