相关期刊:《Journal of Mathematical Research with Applications》《Communications in Nonlinear Science and Numerical Simulation》《Science China Mathematics》《高等学校计算数学学报》更多>>
Supported by NSF of China(11971356);NSF of Zhejiang Province(LY17A010011)。
This article investigates Gevrey class regularity for the global attractor of an incompressible non-Newtonian fluid in a two-dimensional domain with a periodic boundary condition.This Gevrey class regularity reveals t...
supported by the National Natural Science Foundation of China (11771216 and 11901306);the Key Research and Development Program of Jiangsu Province (Social Development)(BE2019725);the Natural Science Foundation of Jiangsu Province (SBK2017043142)
This study addresses long-time behavior for a thermoelastic microbeam problem with time delay and the Coleman-Gurtin thermal law,the convolution kernel of which entails an extremely weak dissipation in the thermal law...
supported by Research Fund of the Hacettepe University.Project Number:FBB-2017-16218
We investigate the initial-value problem for the semilinear plate equation containing localized strong damping, localized weak damping and nonlocal nonlinearity. We prove that if nonnegative damping coefficients are s...
partially supported by NNSF of China(11571126,11701198);China Postdoctoral Science Foundation funded project(2017M622397)
This article is concerned with the existence of global attractor of a weakly dissipative generalized two-component μ-Hunter-Saxton (gμHS2) system with viscous terms. Under the period boundary conditions and with t...
supported by NSFC Grant (11031003);the Fundamental Research Funds for the Central Universities;support by Fund of excellent young teachers in Shanghai (shgcjs008);Initial Fund of SUES (A-0501-11-016)
In this article, we consider the existence of trajectory and global attractors for nonclassical diffusion equations with linear fading memory. For this purpose, we will apply the method presented by Chepyzhov and Mira...
Supported by the National Natural Science Foundation of China(10371077)
A fully discrete finite difference scheme for dissipative Zakharov equations is analyzed. On the basis of a series of the time-uniform priori estimates of the difference solutions, the stability of the difference sche...
Supported by National Natural Science Foundation of China (10871151)
In this paper, a chemotaxis model with reproduction term in a bounded domain Ω R^n is discussed. The existence of a global-in-time solution and a global attractor for this model are obtained.
In this paper we prove that the initial-boundary value problem for the nonlinear evolution equation ut = △u + λu - u^3 possesses a global attractor in Sobolev space H^k for all k≥0, which attracts any bounded doma...
In this paper, the global existence of classical solution and global attractor for Camassa-Holm type equations with dissipative term are established by using fixed point theorem and a priori estimates.
This work is supported by National Natural Science Foundation of China (10171106);the Special Fund for Major State Basic Research Projects (G1999032805)
A disease transmission model of SI type with stage structure is formulated. The stability of disease free equilibrium, the existence and uniqueness of an endemic equilibrium, the existence of a global attractor are in...