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Bae, Hantaek
School of Natural Science
Research Interests
  • Fluid dynamics, polymeric fluid, kinetic theory


Analyticity and Decay Estimates of the Navier-Stokes Equations in Critical Besov Spaces

DC Field Value Language Bae, Hantaek ko Biswas, Animikh ko Tadmor, Eitan ko 2015-09-03T07:23:28Z - 2015-09-03 ko 2012-09 ko
dc.identifier.citation ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, v.205, no.3, pp.963 - 991 ko
dc.identifier.issn 0003-9527 ko
dc.identifier.uri -
dc.description.abstract In this paper, we establish analyticity of the Navier-Stokes equations with small data in critical Besov spaces . The main method is Gevrey estimates, the choice of which is motivated by the work of Foias and Temam (Contemp Math 208:151-180, 1997). We show that mild solutions are Gevrey regular, that is, the energy bound holds in , globally in time for p < a. We extend these results for the intricate limiting case p = a in a suitably designed E (a) space. As a consequence of analyticity, we obtain decay estimates of weak solutions in Besov spaces. Finally, we provide a regularity criterion in Besov spaces ko
dc.description.statementofresponsibility close -
dc.language 영어 ko
dc.publisher SPRINGER ko
dc.title Analyticity and Decay Estimates of the Navier-Stokes Equations in Critical Besov Spaces ko
dc.type ARTICLE ko
dc.identifier.scopusid 2-s2.0-84865523515 ko
dc.identifier.wosid 000307757300007 ko
dc.type.rims ART ko
dc.description.wostc 8 *
dc.description.scopustc 8 * 2015-12-28 * 2015-11-04 *
dc.identifier.doi 10.1007/s00205-012-0532-5 ko
dc.identifier.url ko
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