Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces

Baoquan Yuan; Jia Yuan

doi:10.1016/j.jde.2009.01.022

Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces

Baoquan Yuan^*
, Jia Yuan

^*Corresponding author for this work

School of Mathematical Sciences

Henan Polytechnic University
IAPCM

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

In this paper we study the model of heat transfer in a porous medium with a critical diffusion. We obtain global existence and uniqueness of solutions to the equations of heat transfer of incompressible fluid in Besov spaces over(B, ̇)_{p, 1}^{3 / p} (R³) with 1 ≤ p ≤ ∞ by the method of modulus of continuity and Fourier localization technique.

Original language	English
Pages (from-to)	4405-4422
Number of pages	18
Journal	Journal of Differential Equations
Volume	246
Issue number	11
DOIs	https://doi.org/10.1016/j.jde.2009.01.022
State	Published - 1 Jun 2009

Keywords

Besov spaces
Flows in porous media
Global well-posedness

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10.1016/j.jde.2009.01.022

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title = "Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces",

abstract = "In this paper we study the model of heat transfer in a porous medium with a critical diffusion. We obtain global existence and uniqueness of solutions to the equations of heat transfer of incompressible fluid in Besov spaces over(B,{\. })p, 13 / p (R3) with 1 ≤ p ≤ ∞ by the method of modulus of continuity and Fourier localization technique.",

keywords = "Besov spaces, Flows in porous media, Global well-posedness",

author = "Baoquan Yuan and Jia Yuan",

year = "2009",

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doi = "10.1016/j.jde.2009.01.022",

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T1 - Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces

AU - Yuan, Baoquan

AU - Yuan, Jia

PY - 2009/6/1

Y1 - 2009/6/1

N2 - In this paper we study the model of heat transfer in a porous medium with a critical diffusion. We obtain global existence and uniqueness of solutions to the equations of heat transfer of incompressible fluid in Besov spaces over(B, ̇)p, 13 / p (R3) with 1 ≤ p ≤ ∞ by the method of modulus of continuity and Fourier localization technique.

AB - In this paper we study the model of heat transfer in a porous medium with a critical diffusion. We obtain global existence and uniqueness of solutions to the equations of heat transfer of incompressible fluid in Besov spaces over(B, ̇)p, 13 / p (R3) with 1 ≤ p ≤ ∞ by the method of modulus of continuity and Fourier localization technique.

KW - Besov spaces

KW - Flows in porous media

KW - Global well-posedness

UR - https://www.scopus.com/pages/publications/64149129606

U2 - 10.1016/j.jde.2009.01.022

DO - 10.1016/j.jde.2009.01.022

M3 - 文章

AN - SCOPUS:64149129606

SN - 0022-0396

VL - 246

SP - 4405

EP - 4422

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 11

ER -

Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces

Abstract

Keywords

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