Critical extinction and blow-up exponents for fast diffusive polytropic filtration equation with sources

Chunhua Jin; Jingxue Yin; Yuanyuan Ke

doi:10.1017/S0013091507000399

Abstract

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This paper is mainly concerned with the critical extinction and blow-up exponents for the homogeneous Dirichlet boundary-value problem of the fast diffusive polytropic filtration equation with reaction sources.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Han, Yuzhu and Gao, Wenjie 2011. Extinction for a fast diffusion equation with a nonlinear nonlocal source. Archiv der Mathematik, Vol. 97, Issue. 4, p. 353.

Mu, Chunlai Wang, Liangchen and Zheng, Pan 2012. Extinction and non-extinction for a polytropic filtration equation with absorption and source. Journal of Mathematical Analysis and Applications, Vol. 391, Issue. 2, p. 429.

Han, Yuzhu and Gao, Wenjie 2013. Extinction and non-extinction for a polytropic filtration equation with a nonlocal source. Applicable Analysis, Vol. 92, Issue. 3, p. 636.

Chen, Yujuan Wang, Juan and Zhang, Haixing 2013. Extinction for a couple of fast diffusion systems with nonlinear sources. Nonlinear Analysis: Real World Applications, Vol. 14, Issue. 4, p. 1931.

Wang, Yifu and Yin, Jingxue 2013. Critical extinction exponents for a polytropic filtration equation with absorption and source. Mathematical Methods in the Applied Sciences, Vol. 36, Issue. 12, p. 1591.

Zheng, Pan and Mu, Chunlai 2013. Extinction and decay estimates of solutions for a polytropic filtration equation with the nonlocal source and interior absorption. Mathematical Methods in the Applied Sciences, Vol. 36, Issue. 6, p. 730.

Qu, Chengyuan Bai, Xueli and Zheng, Sining 2014. Blow-up versus extinction in a nonlocal p-Laplace equation with Neumann boundary conditions. Journal of Mathematical Analysis and Applications, Vol. 412, Issue. 1, p. 326.

Wu, Xiulan and Gao, Wenjie 2014. Global existence and blow-up solution for doubly degenerate parabolic system with nonlocal sources and inner absorptions. Mathematical Methods in the Applied Sciences, Vol. 37, Issue. 4, p. 551.

Li, Haixia and Han, Yuzhu 2014. Critical extinction exponents for a fast diffusion equation with nonlocal source and absorption. Boundary Value Problems, Vol. 2014, Issue. 1,

Han, Yuzhu Li, Haixia and Gao, Wenjie 2014. EXTINCTION AND NON-EXTINCTION OF SOLUTIONS TO A P-LAPLACE EQUATION WITH A NONLOCAL SOURCE AND AN ABSORPTION TERM. Mathematical Modelling and Analysis, Vol. 19, Issue. 2, p. 169.

Liu, Dengming and Mu, Chunlai 2014. EXTINCTION FOR A QUASILINEAR PARABOLIC EQUATION WITH A NONLINEAR GRADIENT SOURCE. Taiwanese Journal of Mathematics, Vol. 18, Issue. 5,

Dengming Liu and Chunlai Mu 2015. EXTINCTION FOR A QUASILINEAR PARABOLIC EQUATION WITH A NONLINEAR GRADIENT SOURCE AND ABSORPTION. Journal of Applied Analysis & Computation, Vol. 5, Issue. 1, p. 114.

Li, Haixia Han, Yuzhu and Gao, Wenjie 2015. Extinction and non-extinction for a polytropic filtration system with non-linear sources. Applicable Analysis, Vol. 94, Issue. 6, p. 1192.

Zheng, Pan Mu, Chunlai and Tian, Ya 2015. Extinction behavior of solutions for a quasilinear parabolic system with nonlocal sources. Applied Mathematics and Computation, Vol. 259, Issue. , p. 587.

Liu, Dengming Mu, Chunlai and Zuo, Guifeng 2015. Critical extinction exponent for a quasilinear parabolic equation with a gradient source. Journal of Applied Mathematics and Computing, Vol. 48, Issue. 1-2, p. 335.

LI, Haixia HAN, Yuzhu and GAO, Wenjie 2015. Critical extinction exponents for polytropic filtration equations with nonlocal source and absorption. Acta Mathematica Scientia, Vol. 35, Issue. 2, p. 366.

Han, Yuzhu and Gao, Wenjie 2016. Extinction of solutions to a class of fast diffusion systems with nonlinear sources. Mathematical Methods in the Applied Sciences, Vol. 39, Issue. 6, p. 1325.

Chaouai, Zakariya and El Hachimi, Abderrahmane 2018. Qualitative Properties of Nonnegative Solutions for a Doubly Nonlinear Problem with Variable Exponents. Abstract and Applied Analysis, Vol. 2018, Issue. , p. 1.

Liu, Dengming and Mu, Chunlai 2018. Critical extinction exponent for a doubly degenerate non-divergent parabolic equation with a gradient source. Applicable Analysis, Vol. 97, Issue. 12, p. 2132.

Liao, Menglan 2020. A class of nonlinear parabolic equations with anisotropic nonstandard growth conditions. Journal of Mathematical Physics, Vol. 61, Issue. 8,

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Article contents

Critical extinction and blow-up exponents for fast diffusive polytropic filtration equation with sources

Abstract

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MSC classification

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Critical extinction and blow-up exponents for fast diffusive polytropic filtration equation with sources

Abstract

Keywords

MSC classification

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