| Abstract: |
| We consider the Cauchy problem for a fully parabolic attraction-repulsion chemotaxis system in two dimensional space.
In the previous results, the Cauchy problem and the initial value problem for the system was well
studied, and it is known that the sign of the difference between the chemotactic coefficient of the attractant and that of the repellent plays a crucial role
in the global existence of nonnegative solution.
In this talk we will show the global existence and boundedness of nonnegative solutions to the Cauchy problem in the case where the chemotactic coefficient of the attractant is smaller than that of the repellent. |
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