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

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Analyticity of solutions to the barotropic compressible Navier-Stokes equations

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dc.contributor.author Bae, Hantaek ko
dc.date.available 2020-05-29T00:39:31Z -
dc.date.created 2020-05-25 ko
dc.date.issued 2020-07 ko
dc.identifier.citation JOURNAL OF DIFFERENTIAL EQUATIONS, v.269, no.2, pp.1718 - 1743 ko
dc.identifier.issn 0022-0396 ko
dc.identifier.uri https://scholarworks.unist.ac.kr/handle/201301/32188 -
dc.description.abstract In this paper, we establish analyticity of solutions to the barotropic compressible Navier-Stokes equations describing the motion of the density rho and the velocity field u in R-3. We assume that rho(0) is a small perturbation of 1 and (1 - 1/rho(0), u(0)) are analytic in Besov spaces with analyticity radius omega > 0. We show that the corresponding solutions are analytic globally in time when (1 - 1/rho(0), u(0)) are sufficiently small. To do this, we introduce the exponential operator e((omega-theta(t))D) acting on (1 - 1/rho, u), where D is the differential operator whose Fourier symbol is given by vertical bar xi vertical bar(1)=vertical bar xi(1)vertical bar + vertical bar xi(2)vertical bar + vertical bar xi(3)vertical bar and theta(t) is chosen to satisfy theta(t) < omega globally in time. (C) 2020 Elsevier Inc. All rights reserved. ko
dc.language 영어 ko
dc.publisher ACADEMIC PRESS INC ELSEVIER SCIENCE ko
dc.title Analyticity of solutions to the barotropic compressible Navier-Stokes equations ko
dc.type ARTICLE ko
dc.identifier.scopusid 2-s2.0-85078035654 ko
dc.identifier.wosid 000530702100023 ko
dc.type.rims ART ko
dc.identifier.doi 10.1016/j.jde.2020.01.016 ko
dc.identifier.url https://www.sciencedirect.com/science/article/pii/S002203962030022X?via%3Dihub ko
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