Journal of Jilin University Science Edition

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Blowup of Solution for NonNewtonian Polytropic Filtration EquationInvolving Nonstandard Growth Condition and Positive Initial Energy〖

LIU Ling1, WANG Guoming2, XIE Jianing3   

  1. 1. Department of Basic Science, Jilin Jianzhu University, Changchun 130118, China;2. College of Mathematics, Jilin University, Changchun 130012, China; 3. School of Mathematics andQuantitative Economics, Dongbei University of Finance and Economics, Dalian 116025, Liaoning Province, China
  • Received:2013-05-13 Online:2013-11-26 Published:2013-11-21
  • Contact: WANG Guoming E-mail:wanggm@jlu.edu.cn

Abstract:

The authors studied blowup properties of solutions to a polytropic filtration equation with variable exponent of nonlinearity. By constructing a suitable control function, applying energy estimates method and Gronwall’s inequalities, we proved that the solution of the above problem blows up in finite time when the initial energy is positive.

Key words:  positive initial energy, nonstandard growth condition, NonNewtonian polytropic filtration equation

CLC Number: 

  • O175.8