A fast regularisation of a Newtonian vortex equation

We consider equations of the form $ u_t = \nabla \cdot ( \gamma(u) \nabla \mathrm{N}(u))$, where $\mathrm{N}$ is the Newtonian potential (inverse of the Laplacian) posed in the whole space $\mathbb R^d$, and $\gamma(u)$ is the mobility. For linear mobility, $\gamma(u)=u$, the equation and some varia...

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Bibliographic Details
Main Authors: Carrillo, JA, Gómez-Castro, D, Vázquez, JL
Format: Journal article
Language:English
Published: EMS Press 2022