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From the 1 of 308 papers with an AI index.
29.3k citations
- Max Planck Institute for the Science of LightDE12 papers
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Showing 2014 · math.APShow all
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math.AP2014★ 391 cited
Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
Michael Winkler
The chemotaxis-Navier-Stokes system linking the chemotaxis equations \[ n_t + u\cdot\nabla n = Δn - \nabla \cdot (nχ(c)\nabla c) \] and \[ c_t + u\cdot\nabla c = Δc-nf(c) \] to the…
math.AP2014
Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
Johannes Lankeit
We prove existence of global weak solutions to the chemotaxis system under homogeneous Neumann boundary conditions in…
math.AP2014
Rate of Convergence to Separable Solutions of the Fast Diffusion Equation
Marek Fila, Michael Winkler
We study the asymptotic behaviour near extinction of positive solutions of the Cauchy problem for the fast diffusion equation with a subcritical exponent. We show that separable so…