Analyticity of solutions to the primitive equations

Yoshikazu Giga, Mathis Gries, Matthias Hieber, Amru Hussein and Takahito Kashiwabara

Mathematische Nachrichten, 2020, vol. 293, issue 2, 284-304

Abstract: This 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 Bpq2/p for p,q∈(1,∞) with 1/p+1/q≤1. This solution regularize instantaneously and becomes even real analytic for t>0.

Date: 2020
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https://doi.org/10.1002/mana.201700401

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:293:y:2020:i:2:p:284-304

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