Asymptotic Study of the 2D-DQGE Solutions
We study the regularity of the solutions of the surface quasi-geostrophic equation with subcritical exponent 1/2<α≤1. We prove that if the initial data is small enough in the critical space H˙2-2α(R2), then the regularity of the solution is of exponential growth type with respect to time and its...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/538374 |
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| Summary: | We study the regularity of the solutions of the surface quasi-geostrophic equation with subcritical exponent 1/2<α≤1. We prove that if the initial data is small enough in the critical space H˙2-2α(R2), then the regularity of the solution is of exponential growth type with respect to time and its H˙2-2α(R2) norm decays exponentially fast. It becomes then infinitely differentiable with respect to time and has value in all homogeneous Sobolev spaces H˙s(R2) for s≥2-2α. Moreover, we give some general properties of the global solutions. |
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| ISSN: | 2314-8896 2314-8888 |