Existence and Uniqueness of Weak Solution for chemotaxis model coupled
with heat equation
Abstract
Keller-Segel chemotaxis model is described by a system of nonlinear PDE
: a convection diffusion equation for the cell density coupled with a
reaction-diffusion equation for chemoattractant concentration. In this
work, we study the phenomenon of Keller Segel model coupled with a heat
equation, because The heat has an effect the density of the cells as
well as the signal of chemical concentration, since the heat is a factor
affecting the spread and attraction of cells as well in relation to the
signal of chemical concentration, The main objectives of this work is
the study of the global existence and uniqueness and boundedness of the
weak solution for the problem defined in (8) for this we use the
technical of Galerkin method.