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Global Wellposedness and Traveling Wave Solutions of PDE Models of Chemotaxis

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    Tong Li
    We investigate global existence and long ime behavior of solutions for PDE models of chemotaxis. These models include the classical Keller-Segel model and its variations such as a model reflecting rotational chemotactic motion. Moreover, we establish the existence and the nonlinear stability of large-amplitude traveling wave solutions to the system of nonlinear conservation laws derived from Keller-Segel model.

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