scholarly journals Global existence in a chemotaxis system with singular sensitivity and signal production

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Guoqiang Ren ◽  
Heping Ma
Keyword(s):  
Global Existence ◽  
Signal Production ◽  
Singular Sensitivity ◽  
Chemotaxis System

scholarly journals Global Existence of a Chemotactic Movement with Singular Sensitivity by Two Stimuli

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Heping Ma
Keyword(s):  
Initial Data ◽  
Global Existence ◽  
Boundary Conditions ◽  
Classical Solution ◽  
Bounded Domain ◽  
Smooth Boundary ◽  
Neumann Boundary ◽  
Global Classical Solution ◽  
Singular Sensitivity ◽  
Chemotaxis System

In this study, we deal with the chemotaxis system with singular sensitivity by two stimuli under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, we show that the system possesses global classical solution. Our results generalize and improve previously known ones.

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