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Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity
- Source :
- Archive for Rational Mechanics and Analysis, vol 214, iss 1, Cao, C; Li, J; & Titi, ES. (2014). Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity. Archive for Rational Mechanics and Analysis. doi: 10.1007/s00205-014-0752-y. UC Irvine: Retrieved from: http://www.escholarship.org/uc/item/8x07p2fr
- Publication Year :
- 2014
- Publisher :
- eScholarship, University of California, 2014.
-
Abstract
- In this paper, we consider the initial-boundary value problem of the viscous 3D primitive equations for oceanic and atmospheric dynamics with only vertical diffusion in the temperature equation. Local and global well-posedness of strong solutions are established for this system with H 2 initial data. © 2014 Springer-Verlag Berlin Heidelberg.
- Subjects :
- General Physics
Complex system
FOS: Physical sciences
physics.ao-ph
Eddy diffusion
Physics - Geophysics
Strong solutions
Mathematics - Analysis of PDEs
Mathematics (miscellaneous)
86-08
Primitive equations
FOS: Mathematics
Diffusion (business)
Physics::Atmospheric and Oceanic Physics
math.AP
65M70
Physics
Mechanical Engineering
86A10
Applied Mathematics
Mathematical analysis
Fluid Dynamics (physics.flu-dyn)
Physics - Fluid Dynamics
Pure Mathematics
physics.geo-ph
Geophysics (physics.geo-ph)
Physics - Atmospheric and Oceanic Physics
physics.flu-dyn
Atmospheric and Oceanic Physics (physics.ao-ph)
35Q35, 65M70, 86-08, 86A10
Atmospheric dynamics
Analysis
Well posedness
35Q35
Analysis of PDEs (math.AP)
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Archive for Rational Mechanics and Analysis, vol 214, iss 1, Cao, C; Li, J; & Titi, ES. (2014). Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity. Archive for Rational Mechanics and Analysis. doi: 10.1007/s00205-014-0752-y. UC Irvine: Retrieved from: http://www.escholarship.org/uc/item/8x07p2fr
- Accession number :
- edsair.doi.dedup.....70d5c0cfa33502eb96fd8bbd4b3b300d
- Full Text :
- https://doi.org/10.1007/s00205-014-0752-y.