Yudovich type solution for the 2D inviscid Boussinesq system with critical and supercritical dissipation
نویسندگان
چکیده
In this paper we consider the Yudovich type solution of the 2D inviscid Boussinesq system with critical and supercritical dissipation. For the critical case, we show that the system admits a global and unique Yudovich type solution; for the supercritical case, we prove the local and unique existence of Yudovich type solution, and the global result under a smallness condition of θ0. We also give a refined blowup criterion in the supercritical case. © 2014 Elsevier Inc. All rights reserved. MSC: 76B03; 35Q31; 35Q35; 35Q86
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تاریخ انتشار 2014