Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces

DOI10.1088/1361-6544/aa8166zbMath1377.35224arXiv1509.02637OpenAlexW2964025825MaRDI QIDQ4588511

Takahito Kashiwabara, Matthias Hieber, Giovanni Paolo Galdi

Publication date: 26 October 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02637

zbMATH Keywords

stationary solutionsweak-strong uniquenessprimitive equationsstrong periodic solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Periodic solutions to PDEs (35B10) One-parameter semigroups and linear evolution equations (47D06) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs in connection with geophysics (35Q86) Strong solutions to PDEs (35D35)

Related Items (8)

Global wellposedness of the primitive equations with nonlinear equation of state in critical spaces ⋮ Partial and full hyper-viscosity for Navier-Stokes and primitive equations ⋮ Time-periodic solutions for 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion ⋮ Strong time-periodic solutions to the bidomain equations with arbitrary large forces ⋮ Primitive equations with horizontal viscosity: the initial value and the time-periodic problem for physical boundary conditions ⋮ Preface ⋮ If time were a graph, what would evolution equations look like? ⋮ EXISTENCE OF TIME PERIODIC SOLUTIONS FOR THE 3-D VISCOUS PRIMITIVE EQUATIONS OF LARGE-SCALE DRY ATMOSPHERE

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