Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes
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Publication:5113316
DOI10.1088/1361-6544/ab834fzbMath1447.35267arXiv1907.11199OpenAlexW3102581253MaRDI QIDQ5113316
Edriss S. Titi, Jinkai Li, Sabine Hittmeir, Rupert Klein
Publication date: 4 June 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.11199
PDEs in connection with fluid mechanics (35Q35) Meteorology and atmospheric physics (86A10) PDEs in connection with geophysics (35Q86)
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Cites Work
- Unnamed Item
- Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity
- Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity
- Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion
- Compact sets in the space \(L^ p(0,T;B)\)
- Preventing blow up in a chemotaxis model
- Phase transition models in atmospheric dynamics
- The equations of the atmosphere with humidity and saturation: uniqueness and physical bounds
- Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
- Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion
- New formulations of the primitive equations of atmosphere and applications
- Global well-posedness for passively transported nonlinear moisture dynamics with phase changes
- Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
- The primitive equations of the atmosphere in presence of vapour saturation
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