Departmental Bulletin Paper ANALYTICITY OF SOLUTIONS TO THE PRIMITIVE EQUATIONS

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

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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 B2/p pq for p,q ∈ (1,∞) with 1/p + 1/q ≤ 1. This solution regularize instantaneously and becomes even real analytic for t > 0.
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https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/67503/1/AnalyticityOfSolutionsToThePrimitiveEquations.pdf

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