The Long Time Behavior of Periodic Entropy Solutions to Degenerate Nonlinear Parabolic Equations

2019 ◽  
Vol 242 (2) ◽  
pp. 308-322
Author(s):  
E. Yu. Panov
Keyword(s):  
Parabolic Equations ◽  
Nonlinear Parabolic Equations ◽  
Entropy Solutions ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Nonlinear Parabolic ◽  
Long Time

scholarly journals Global Attractor for Doubly Nonlinear Parabolic Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-16
Author(s):  
Yongjun Li ◽  
Suyun Wang ◽  
Yanhong Zhang
Keyword(s):  
Parabolic Equation ◽  
Global Attractor ◽  
Parabolic Equations ◽  
Nonlinear Parabolic Equations ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Nonlinear Parabolic ◽  
Long Time ◽  
Doubly Nonlinear ◽  
Doubly Nonlinear Parabolic Equation

Our aim in this paper is to study the long-time behavior for a class of doubly nonlinear parabolic equations. First we show that the problem has a unique solution. Then we prove that the semigroup corresponding to the problem is norm-to-weak continuous in Lq and H01. Finally we establish the existence of global attractor of the problem in Lq and H01.

Finite dimensional global attractor for a class of doubly nonlinear parabolic equations

2006 ◽  
Vol 4 (1) ◽  
pp. 163-182 ◽  
Author(s):  
Alain Miranville
Keyword(s):  
Global Attractor ◽  
Parabolic Equations ◽  
Nonlinear Parabolic Equations ◽  
Time Behavior ◽  
Finite Dimensional ◽  
Nonlinear Parabolic ◽  
Long Time ◽  
Two Space Dimensions ◽  
Doubly Nonlinear ◽  
Finite Fractal Dimension

AbstractOur aim in this paper is to study the long time behavior of a class of doubly nonlinear parabolic equations. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.

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