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Chang Zhang
Chang Zhang

Public Documents 1
The well-posedness and long-time behavior of the nonlocal diffusion porous medium equ...
Chang Zhang
Fengjuan  Meng

Chang Zhang

and 2 more

October 26, 2021
In this paper, we mainly consider the well-posedness and long-time behavior of solutions for the nonlocal diffusion porous medium equations with nonlinear term. Firstly, we obtain the well-posedness of the solutions in L1(Ω) for the equations. Secondly, we prove the existence of a global attractor by proving there exists a compact absorbing set. Finally, we apply index theory to consider the dimension of the attractor and prove that there exists an infinite dimensional attractor of the equations under proper conditions.

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