Waiting time for a non-Newtonian polytropic filtration equation with convection

Chunhua Jin; Tong Yang; Jingxue Yin

doi:10.1016/j.jde.2012.01.013

Waiting time for a non-Newtonian polytropic filtration equation with convection

Chunhua Jin
, Tong Yang
, Jingxue Yin

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

4 Citations (Scopus)

Abstract

In this paper, we study the waiting time phenomena for a class of non-Newtonian polytropic filtration equation with convection. According to the nonlinearity in the diffusion and the convection terms, some necessary and sufficient conditions on the initial data are given for the existence of waiting time. © 2012 Elsevier Inc.

Original language	English
Pages (from-to)	4862-4885
Journal	Journal of Differential Equations
Volume	252
Issue number	9
DOIs	https://doi.org/10.1016/j.jde.2012.01.013
Publication status	Published - 1 May 2012

Research Keywords

Convection
Degenerate parabolicity
Interface
Waiting time

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title = "Waiting time for a non-Newtonian polytropic filtration equation with convection",

abstract = "In this paper, we study the waiting time phenomena for a class of non-Newtonian polytropic filtration equation with convection. According to the nonlinearity in the diffusion and the convection terms, some necessary and sufficient conditions on the initial data are given for the existence of waiting time. {\textcopyright} 2012 Elsevier Inc.",

keywords = "Convection, Degenerate parabolicity, Interface, Waiting time",

author = "Chunhua Jin and Tong Yang and Jingxue Yin",

year = "2012",

month = may,

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doi = "10.1016/j.jde.2012.01.013",

language = "English",

volume = "252",

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journal = "Journal of Differential Equations",

issn = "0022-0396",

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T1 - Waiting time for a non-Newtonian polytropic filtration equation with convection

AU - Jin, Chunhua

AU - Yang, Tong

AU - Yin, Jingxue

PY - 2012/5/1

Y1 - 2012/5/1

N2 - In this paper, we study the waiting time phenomena for a class of non-Newtonian polytropic filtration equation with convection. According to the nonlinearity in the diffusion and the convection terms, some necessary and sufficient conditions on the initial data are given for the existence of waiting time. © 2012 Elsevier Inc.

AB - In this paper, we study the waiting time phenomena for a class of non-Newtonian polytropic filtration equation with convection. According to the nonlinearity in the diffusion and the convection terms, some necessary and sufficient conditions on the initial data are given for the existence of waiting time. © 2012 Elsevier Inc.

KW - Convection

KW - Degenerate parabolicity

KW - Interface

KW - Waiting time

UR - https://www.scopus.com/pages/publications/84857138811

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84857138811&origin=recordpage

U2 - 10.1016/j.jde.2012.01.013

DO - 10.1016/j.jde.2012.01.013

M3 - RGC 21 - Publication in refereed journal

SN - 0022-0396

VL - 252

SP - 4862

EP - 4885

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 9

ER -

Waiting time for a non-Newtonian polytropic filtration equation with convection

Abstract

Research Keywords

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