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Nonlinear Galerkin approximation of the two dimensional exterior NavierStokes problem
1.  Research Center for Applied Mathematics, Xi'an Jiaotong University, Xi'an, 710049, China 
[1] 
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 
[2] 
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 
[3] 
Yue Feng, Yujie Liu, Ruishu Wang, Shangyou Zhang. A conforming discontinuous Galerkin finite element method on rectangular partitions. Electronic Research Archive, , () : . doi: 10.3934/era.2020120 
[4] 
Gunther Uhlmann, Jian Zhai. Inverse problems for nonlinear hyperbolic equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 455469. doi: 10.3934/dcds.2020380 
[5] 
Zuliang Lu, Fei Huang, Xiankui Wu, Lin Li, Shang Liu. Convergence and quasioptimality of $ L^2 $norms based an adaptive finite element method for nonlinear optimal control problems. Electronic Research Archive, 2020, 28 (4) : 14591486. doi: 10.3934/era.2020077 
[6] 
Ahmad Z. Fino, Wenhui Chen. A global existence result for twodimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain. Communications on Pure & Applied Analysis, 2020, 19 (12) : 53875411. doi: 10.3934/cpaa.2020243 
[7] 
Thomas Bartsch, Tian Xu. Strongly localized semiclassical states for nonlinear Dirac equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 2960. doi: 10.3934/dcds.2020297 
[8] 
Hua Chen, Yawei Wei. Multiple solutions for nonlinear cone degenerate elliptic equations. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2020272 
[9] 
Scipio Cuccagna, Masaya Maeda. A survey on asymptotic stability of ground states of nonlinear Schrödinger equations II. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020450 
[10] 
Gang Bao, Mingming Zhang, Bin Hu, Peijun Li. An adaptive finite element DtN method for the threedimensional acoustic scattering problem. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020351 
[11] 
Serge Dumont, Olivier Goubet, Youcef Mammeri. Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020456 
[12] 
Pengyu Chen. Nonautonomous stochastic evolution equations with nonlinear noise and nonlocal conditions governed by noncompact evolution families. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020383 
[13] 
Xuefei He, Kun Wang, Liwei Xu. Efficient finite difference methods for the nonlinear Helmholtz equation in Kerr medium. Electronic Research Archive, 2020, 28 (4) : 15031528. doi: 10.3934/era.2020079 
[14] 
Hua Qiu, ZhengAn Yao. The regularized Boussinesq equations with partial dissipations in dimension two. Electronic Research Archive, 2020, 28 (4) : 13751393. doi: 10.3934/era.2020073 
[15] 
Lorenzo Zambotti. A brief and personal history of stochastic partial differential equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 471487. doi: 10.3934/dcds.2020264 
[16] 
Fabio Camilli, Giulia Cavagnari, Raul De Maio, Benedetto Piccoli. Superposition principle and schemes for measure differential equations. Kinetic & Related Models, , () : . doi: 10.3934/krm.2020050 
[17] 
Yifan Chen, Thomas Y. Hou. Function approximation via the subsampled Poincaré inequality. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 169199. doi: 10.3934/dcds.2020296 
[18] 
Mostafa Mbekhta. Representation and approximation of the polar factor of an operator on a Hilbert space. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020463 
[19] 
Zhenzhen Wang, Tianshou Zhou. Asymptotic behaviors and stochastic traveling waves in stochastic FisherKPP equations. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020323 
[20] 
LiBin Liu, Ying Liang, Jian Zhang, Xiaobing Bao. A robust adaptive grid method for singularly perturbed BurgerHuxley equations. Electronic Research Archive, 2020, 28 (4) : 14391457. doi: 10.3934/era.2020076 
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