scholarly journals On global existence and blowup of solutions of Stochastic Keller–Segel type equation

2021 ◽  
Vol 29 (1) ◽  
Author(s):  
Oleksandr Misiats ◽  
Oleksandr Stanzhytskyi ◽  
Ihsan Topaloglu
Keyword(s):  
Global Existence ◽  
Type Equation ◽  
Blowup Of Solutions

scholarly journals Global existence and asymptotic behavior for a generalized Boussinesq type equation without dissipation

2021 ◽  
Author(s):  
Guowei Liu ◽  
Wei Wang ◽  
Qiuju Xu
Keyword(s):  
Cauchy Problem ◽  
Asymptotic Behavior ◽  
Initial Data ◽  
Global Existence ◽  
Linear Group ◽  
Type Equation ◽  
Small Initial Data ◽  
Dispersive Estimate ◽  
The Cauchy Problem

In this paper, we study the Cauchy problem for a generalized Boussinesq type equation in $\mathbb{R}^n$. We establish a dispersive estimate for the linear group associated with the generalized Boussinesq type equation. As applications, the global existence, decay and scattering of solutions are established for small initial data.

Global Existence and Blowup of Solutions of Two Species Chemotaxis Model

2016 ◽  
Vol 5 (4) ◽  
pp. 457-469
Author(s):  
V. Bhuvaneswari ◽  
K. Balachandran
Keyword(s):  
Global Existence ◽  
Chemotaxis Model ◽  
Blowup Of Solutions
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