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

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Global Existence and Exponential Decay to Equilibrium for DLSS-Type Equations

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Title
Global Existence and Exponential Decay to Equilibrium for DLSS-Type Equations
Author
Bae, HantaekGranero-Belinchon, Rafael
Issue Date
2021-06
Publisher
SPRINGER
Citation
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, v.33, pp.1135 - 1151
Abstract
In this paper, we deal with two logarithmic fourth order differential equations: the extended one-dimensional DLSS equation and its multi-dimensional analog. We show the global existence of solution in critical spaces, its convergence to equilibrium and the gain of spatial analyticity for these two equations in a unified way.
URI
https://scholarworks.unist.ac.kr/handle/201301/32391
URL
https://link.springer.com/article/10.1007%2Fs10884-020-09852-5
DOI
10.1007/s10884-020-09852-5
ISSN
1040-7294
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MTH_Journal Papers
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