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Turbulent channel flow in weighted Sobolev spaces using the anisotropic Lagrangian averaged NavierStokes (LANS$\alpha$) equations
1.  Department of Mathematics, University of California, Davis, CA 95616, United States, United States 
[1] 
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 
[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] 
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 
[6] 
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 
[7] 
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 
[8] 
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 
[9] 
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 
[10] 
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 
[11] 
Michiel Bertsch, Danielle Hilhorst, Hirofumi Izuhara, Masayasu Mimura, Tohru Wakasa. A nonlinear parabolichyperbolic system for contact inhibition and a degenerate parabolic fisher kpp equation. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 31173142. doi: 10.3934/dcds.2019226 
[12] 
Jun Zhou. Lifespan of solutions to a fourth order parabolic PDE involving the Hessian modeling epitaxial growth. Communications on Pure & Applied Analysis, 2020, 19 (12) : 55815590. doi: 10.3934/cpaa.2020252 
[13] 
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 
[14] 
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 
[15] 
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 
[16] 
Knut Hüper, Irina Markina, Fátima Silva Leite. A Lagrangian approach to extremal curves on Stiefel manifolds. Journal of Geometric Mechanics, 2020 doi: 10.3934/jgm.2020031 
[17] 
Javier Fernández, Cora Tori, Marcela Zuccalli. Lagrangian reduction of nonholonomic discrete mechanical systems by stages. Journal of Geometric Mechanics, 2020, 12 (4) : 607639. doi: 10.3934/jgm.2020029 
[18] 
KungChing Chang, Xuefeng Wang, Xie Wu. On the spectral theory of positive operators and PDE applications. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 31713200. doi: 10.3934/dcds.2020054 
[19] 
Manuel de León, Víctor M. Jiménez, Manuel Lainz. Contact Hamiltonian and Lagrangian systems with nonholonomic constraints. Journal of Geometric Mechanics, 2020 doi: 10.3934/jgm.2021001 
[20] 
Xi Zhao, Teng Niu. Impacts of horizontal mergers on dualchannel supply chain. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2020173 
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