Article,

Spatial Analyticity of the Solutions to the Subcritical Dissipative Quasi-geostrophic Equations

, and .
Archive for Rational Mechanics and Analysis, 189 (1): 131--158 (July 2008)

Abstract

Abstract  We employ a new bilinear estimate to show that solutions to the subcritical dissipative quasi-geostrophic equations with initial data in the scaling-invariant Lebesgue space are analytic in space variables. Some decay in time estimates for space–timederivatives are also obtained.

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