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Asymptotically self-similar solutions for the parabolic system modelling chemotaxis

100%

Naito Y.

Banach Center Publications

2006

tom 74

nr 1

149-160

We consider a nonlinear parabolic system modelling chemotaxis $u_t = ∇·(∇u - u∇v)$, $v_t = Δv + u$ in ℝ², t > 0. We first prove the existence of time-global solutions, including self-similar solutions, for small initial data, and then show the asymptotically self-similar behavior for a class of general solutions.

Self-similarity in chemotaxis systems

63%

Naito Y., Suzuki T.

Colloquium Mathematicum

2008

tom 111

nr 1

11-34

We consider a system which describes the scaling limit of several chemotaxis systems. We focus on self-similarity, and review some recent results on forward and backward self-similar solutions to the system.

Ograniczanie wyników

1 Banach Center Publications

1 Colloquium Mathematicum

2 Naito Y.

1 Suzuki T.

1 2008

1 2006

Wyniki wyszukiwania

Asymptotically self-similar solutions for the parabolic system modelling chemotaxis

Self-similarity in chemotaxis systems