| Abstract: |
| We consider the Cauchy problem for an attraction--repulsion chemotaxis system with the chemotactic coefficient of the attractant and that of the repellent. In the case the repulsion dominates or cancels the attraction, the nonnegative solutions to the Cauchy problem exist globally in time. On the other hand, in the case the attraction dominates, there are blowing-up solutions in finite time under the suitable assumption on the total mass of the nonnegative initial data. In this talk, we shall discuss the global existence of nonnegative solutions to the Cauchy problem in the case the attraction dominates. |
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