A REMARK ON THE MULTI-DIMENSIONAL COMPRESSIBLE EULER SYSTEM WITH DAMPING IN THE L CRITICAL BESOV SPACES
Proceedings of the American Mathematical Society, ISSN: 1088-6826, Vol: 152, Issue: 1, Page: 239-252
2024
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Article Description
We study the global-in-time well-posedness and relaxation limit of the compressible Euler system with damping in L-type critical Besov spaces. In comparison with the results obtained by Crin-Barat and Danchin [Pure Appl. Anal. 4 (2022), pp. 85–125; Math. Ann. 386 (2023), pp. 2159–2206], the more general pressure law satisfying P(ρ̄) > 0 is allowed. To achieve it, a new composition estimate is established in the L-L hybrid Besov spaces with explicit dependence on the threshold between high frequencies and low frequencies.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85176551768&origin=inward; http://dx.doi.org/10.1090/proc/16516; https://www.ams.org/proc/2024-152-01/S0002-9939-2023-16516-8/; https://dx.doi.org/10.1090/proc/16516; https://www.ams.org/journals/proc/2024-152-01/S0002-9939-2023-16516-8/
American Mathematical Society (AMS)
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