parabolic system
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Lower bound for the blowup time of the solution to a quasi-linear parabolic system

2021 ◽  
Vol 62 (12) ◽  
pp. 123504
Author(s):  
Aiguo Bao ◽  
Xianfa Song
Keyword(s):  
Lower Bound ◽  
Parabolic System ◽  
Blowup Time

Construction of solutions to the boundary value problem with singularity for a nonlinear parabolic system

2021 ◽  
Vol 24 (4) ◽  
pp. 64-78
Author(s):  
A. L. Kazakov ◽  
P. A. Kuznetsov ◽  
L. F. Spevak
Keyword(s):  
Boundary Value Problem ◽  
Parabolic System ◽  
Boundary Value ◽  
Nonlinear Parabolic System ◽  
Nonlinear Parabolic

scholarly journals Regularity of a parabolic system involving curl

2021 ◽  
Author(s):  
Xing-Bin Pan
Keyword(s):  
Parabolic System

The initial-nonlinear nonlocal solutions for a parabolic system in a weighted Sobolev space

2021 ◽  
pp. 1-30
Author(s):  
Le Thi Phuong Ngoc ◽  
Nguyen Thanh Long
Keyword(s):  
Sobolev Space ◽  
Parabolic System ◽  
Weighted Sobolev Space

scholarly journals Global existence and asymptotic behaviour of solutions for a hyperbolic-parabolic model of chemotaxis on network

2021 ◽  
Author(s):  
Yafeng Li ◽  
Chunlai Mu ◽  
Xin Qiao
Keyword(s):  
Global Existence ◽  
Asymptotic Behaviour ◽  
Parabolic System ◽  
Existence And Uniqueness ◽  
System Modeling ◽  
Global Solutions ◽  
Energy Estimates ◽  
Parabolic Model ◽  
Biological Phenomena ◽  
Acyclic Network

In this paper, we discuss a hyperbolic-parabolic system modeling biological phenomena evolving on a network. The global existence of the is obtained by using energy estimates with suitable the transmission conditions at interior. Moreover, for the case of acyclic network, the existence and uniqueness of stationary solution to the system is proposed and it is proved that these ones are asymptotic profiles for a class of global solutions

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