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The Nonexistence of the Solutions for the Non-Newtonian Filtration Equation with Absorption

The Nonexistence of the Solutions for the Non-Newtonian Filtration Equation with Absorption

Year:    2021

Author:    Qitong Ou

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 4 : pp. 369–378

Abstract

The paper proves the nonexistence of the solution for the following Cauchy problem
{ut=div(|um|p2um)λuq,(x,t)ST=RN×(0,T),u(x,0)=δ(x),xRN,
under some conditions on m,p,q,λ, where δ is Dirac function.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v34.n4.4

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 4 : pp. 369–378

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Non-Newtonian filtration equation Cauchy problem nonexistence.

Author Details

Qitong Ou