Criterion on Initial Energy for Finite-time Blowup in Parabolic-parabolic Keller--Segel System

2020 ◽  
Vol 52 (6) ◽  
pp. 5840-5864
Author(s):  
Noriko Mizoguchi
Keyword(s):  
Finite Time ◽  
Initial Energy ◽  
Finite Time Blowup ◽  
Time Blowup

scholarly journals Blowup of Solutions to the Compressible Euler-Poisson and Ideal MHD Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Wenming Hu
Keyword(s):  
Finite Time ◽  
Euler System ◽  
Time Dependent ◽  
Poisson System ◽  
Blowup Of Solutions ◽  
Finite Time Blowup ◽  
Ideal Mhd ◽  
Compressible Euler ◽  
Time Blowup

In the present paper, we study the blowup of the solutions to the full compressible Euler system and pressureless Euler-Poisson system with time-dependent damping. By some delicate analysis, some Riccati-type equations are achieved, and then, the finite time blowup results can be derived.

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