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.

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