391 citations · 668 across the 36 of their papers we have counts for
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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…
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…
A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. Part II: Finite-time blow-up
Ansgar Jüngel, Michael Winkler
A degenerate fourth-order parabolic equation modeling condensation phenomena related to Bose-Einstein particles is analyzed. The model is a Fokker-Planck-type approximation of the…
A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. Part I: Local existence of solutions
Ansgar Jüngel, Michael Winkler
A degenerate fourth-order parabolic equation modeling condensation phenomena related to Bose-Einstein particles is analyzed. The model is a Fokker-Planck-type approximation of the…