
Previous Article
A model for shape memory alloys with the possibility of voids
 DCDS Home
 This Issue

Next Article
Long time behavior and attractors for energetically insulated fluid systems
Topological properties of the weak global attractor of the threedimensional NavierStokes equations
1.  Department of Mathematics, Texas A&M University, College Station, TX 77843 
2.  Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, Ilha do Fundão, Rio de Janeiro, RJ 21941909 
3.  Department of Mathematics, Indiana University, Bloomington, IN 47405, United States 
[1] 
Yang Liu. Global existence and exponential decay of strong solutions to the cauchy problem of 3D densitydependent NavierStokes equations with vacuum. Discrete & Continuous Dynamical Systems  B, 2021, 26 (3) : 12911303. doi: 10.3934/dcdsb.2020163 
[2] 
Xuhui Peng, Rangrang Zhang. Approximations of stochastic 3D tamed NavierStokes equations. Communications on Pure & Applied Analysis, 2020, 19 (12) : 53375365. doi: 10.3934/cpaa.2020241 
[3] 
Zhiting Ma. NavierStokes limit of globally hyperbolic moment equations. Kinetic & Related Models, 2021, 14 (1) : 175197. doi: 10.3934/krm.2021001 
[4] 
Zhilei Liang, Jiangyu Shuai. Existence of strong solution for the Cauchy problem of fully compressible NavierStokes equations in two dimensions. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020348 
[5] 
Stefan Doboszczak, Manil T. Mohan, Sivaguru S. Sritharan. Pontryagin maximum principle for the optimal control of linearized compressible navierstokes equations with state constraints. Evolution Equations & Control Theory, 2020 doi: 10.3934/eect.2020110 
[6] 
XinGuang Yang, RongNian Wang, Xingjie Yan, Alain Miranville. Dynamics of the 2D NavierStokes equations with sublinear operators in Lipschitzlike domains. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020408 
[7] 
Xiaopeng Zhao, Yong Zhou. Wellposedness and decay of solutions to 3D generalized NavierStokes equations. Discrete & Continuous Dynamical Systems  B, 2021, 26 (2) : 795813. doi: 10.3934/dcdsb.2020142 
[8] 
LingBing He, Li Xu. On the compressible NavierStokes equations in the whole space: From nonisentropic flow to isentropic flow. Discrete & Continuous Dynamical Systems  A, 2021 doi: 10.3934/dcds.2021005 
[9] 
Leanne Dong. Random attractors for stochastic NavierStokes equation on a 2D rotating sphere with stable Lévy noise. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020352 
[10] 
HyungChun Lee. Efficient computations for linear feedback control problems for target velocity matching of NavierStokes flows via POD and LSTMROM. Electronic Research Archive, , () : . doi: 10.3934/era.2020128 
[11] 
Imam Wijaya, Hirofumi Notsu. Stability estimates and a LagrangeGalerkin scheme for a NavierStokes type model of flow in nonhomogeneous porous media. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 11971212. doi: 10.3934/dcdss.2020234 
[12] 
Cung The Anh, Dang Thi Phuong Thanh, Nguyen Duong Toan. Uniform attractors of 3D NavierStokesVoigt equations with memory and singularly oscillating external forces. Evolution Equations & Control Theory, 2021, 10 (1) : 123. doi: 10.3934/eect.2020039 
[13] 
Andrea Giorgini, Roger Temam, XuanTruong Vu. The NavierStokesCahnHilliard equations for mildly compressible binary fluid mixtures. Discrete & Continuous Dynamical Systems  B, 2021, 26 (1) : 337366. doi: 10.3934/dcdsb.2020141 
[14] 
Jianhua Huang, Yanbin Tang, Ming Wang. Singular support of the global attractor for a damped BBM equation. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020345 
[15] 
Biyue Chen, Chunxiang Zhao, Chengkui Zhong. The global attractor for the wave equation with nonlocal strong damping. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021015 
[16] 
Duy Phan. Approximate controllability for Navier–Stokes equations in $ \rm3D $ cylinders under Lions boundary conditions by an explicit saturating set. Evolution Equations & Control Theory, 2021, 10 (1) : 199227. doi: 10.3934/eect.2020062 
[17] 
Wenjun Liu, Hefeng Zhuang. Global attractor for a suspension bridge problem with a nonlinear delay term in the internal feedback. Discrete & Continuous Dynamical Systems  B, 2021, 26 (2) : 907942. doi: 10.3934/dcdsb.2020147 
[18] 
Bin Wang, Lin Mu. Viscosity robust weak Galerkin finite element methods for Stokes problems. Electronic Research Archive, 2021, 29 (1) : 18811895. doi: 10.3934/era.2020096 
[19] 
Cheng He, Changzheng Qu. Global weak solutions for the twocomponent Novikov equation. Electronic Research Archive, 2020, 28 (4) : 15451562. doi: 10.3934/era.2020081 
[20] 
Fang Li, Bo You. On the dimension of global attractor for the CahnHilliardBrinkman system with dynamic boundary conditions. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021024 
2019 Impact Factor: 1.338
Tools
Metrics
Other articles
by authors
[Back to Top]