| Abstract: |
| In this talk we investigate the global existence in time and asymptotic behaviour of solutions of nonlinear evolution equations with strong dissipation and non-local coefficient arising in chemotaxis type of mathematical models of biology and medicine. We consider the initial boundary value problem for the equations and show the desired result of it. For this purpose we deal with the problem applying the argument of the singular integral operator to the non-local term. Applying our result obtained in the above we study non-local chemotaxis models arising from biology and biomedicine and we show the global existence in time and asymptotic profile of the solution to the initial boundary value problem associated with the models. |
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