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CRITICAL BLOW-UP AND EXTINCTION EXPONENTS FOR NON-NEWTON POLYTROPIC FILTRATION EQUATION WITH SOURCE
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 Title & Authors
CRITICAL BLOW-UP AND EXTINCTION EXPONENTS FOR NON-NEWTON POLYTROPIC FILTRATION EQUATION WITH SOURCE
Zhou, Jun; Mu, Chunlai;
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 Abstract
This paper deals with the critical blow-up and extinction exponents for the non-Newton polytropic filtration equation. We reveals a fact that the equation admits two critical exponents ) with . In other words, when q belongs to different intervals (0, ), the solution possesses complete different properties. More precisely speaking, as far as the blow-up exponent is concerned, the global existence case consists of the interval (0, ]. However, when q ), there exist both global solutions and blow-up solutions. As for the extinction exponent, the extinction case happens to the interval (), while for q ), there exists a non-extinction bounded solution for any nonnegative initial datum. Moreover, when the critical case q
 Keywords
non-Newtonian polytropic equation;critical blow-up exponent;critical extinction exponent;
 Language
English
 Cited by
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