| Abstract: |
| In this talk, we discuss the existence of time global solutions for chemotaxis systems involving indirect signal generation. In particular, the case involving a degenerate diffusion term is considered from a variational rather than a semigroup approach; for each of the three unknown functions, an approximate solution is constructed by applying the so-called minimizing movement scheme. Since this system of equations is not a gradient flow, the relative compactness of the approximate solutions is not guaranteed, but the presence of Lyapunov functions provides the conditions for the existence of time global solutions and their relative compactness. |
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