Title:Dampening gradient terms in a consumption model
Speaker:Alessandro Columbu (University of Cagliari)
Time: 06/16 (Monday), 16:00-17:00
Zoom ID: 945 5798 8859
Pass-code: 250616
Link:https://zoom.us/j/94557988859?pwd=kTDylgz1GdJ6hfq5PwYSV5iumQSna1.1
Abstract :
In this talk, we will discuss a consumption chemotaxis problem
 
 
 under homogeneous Neumann boundary conditions, for
under homogeneous Neumann boundary conditions, for  ,
,  and for
 and for  positive initial data with a certain regularity. We will show that the problem has a unique and uniformly bounded classical solution for
 positive initial data with a certain regularity. We will show that the problem has a unique and uniformly bounded classical solution for  . Moreover, we have the same result for the case
. Moreover, we have the same result for the case  and a condition that involves the parameters
 and a condition that involves the parameters and the initial data.
 and the initial data.