Analyticity of solutions to the primitive equations
Copyright policy )Analyticity of solutions to the primitive equations
AbstractThis article presents the maximal regularity approach to the primitive equations. It is proved that the 3D primitive equations on cylindrical domains admit a unique global strong solution for initial data lying in the critical solonoidal Besov space for with . This solution regularize instantaneously and becomes even real analytic for .
- Hokkaido University Japan
- Hokkaido Bunkyo University Japan
- University of Tokyo Japan
- TU Darmstadt Germany
- Tokyo University of Science Japan
primotive equations, Hydrology, hydrography, oceanography, One-parameter semigroups and linear evolution equations, global strong well-posedness, regularity of solutions, Smoothness and regularity of solutions to PDEs, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, Strong solutions to PDEs, PDEs in connection with fluid mechanics, PDEs in connection with geophysics, 410, Mathematics - Analysis of PDEs, maximal \(L^q\) regularity, 35Q35 (Primary), 76D03, 47D06, 86A05 (Secondary), FOS: Mathematics, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Analysis of PDEs (math.AP)
primotive equations, Hydrology, hydrography, oceanography, One-parameter semigroups and linear evolution equations, global strong well-posedness, regularity of solutions, Smoothness and regularity of solutions to PDEs, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, Strong solutions to PDEs, PDEs in connection with fluid mechanics, PDEs in connection with geophysics, 410, Mathematics - Analysis of PDEs, maximal \(L^q\) regularity, 35Q35 (Primary), 76D03, 47D06, 86A05 (Secondary), FOS: Mathematics, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).27 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!