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Yudovich type solution for the two dimensional Euler-Boussinesq system with critical dissipation and general source term

Oussama Melkemi, Mohammed S. Abdo, Wafa Shammakh, Hadeel Z. Alzumi

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Source: Crossref

Published: Jan 1, 2023

DOI: 10.3934/math.2023944

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Source abstract

<abstract><p>The present article investigates the two-dimensional Euler-Boussinesq system with critical fractional dissipation and general source term. First, we show that this system admits a global solution of Yudovich type, and as a consequence, we treat the regular vortex patch issue.</p></abstract>

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Yudovich type solution for the two dimensional Euler-Boussinesq system with critical dissipation and general source term — Mathematical Frontier Network