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pro vyhledávání: '"Miller Thomas"'
Autor:
Miller, Thomas, Tam, Alexander K. Y., Marangell, Robert, Wechselberger, Martin, Bradshaw-Hajek, Bronwyn H.
We consider a general reaction--nonlinear-diffusion equation with a region of negative diffusivity, and show how a nonlinear regularisation selects a shock position. Negative diffusivity can model population aggregation, but leads to shock-fronted so
Externí odkaz:
http://arxiv.org/abs/2410.04106
Autor:
Miller, Thomas, Tam, Alexander K. Y., Marangell, Robert, Wechselberger, Martin, Bradshaw-Hajek, Bronwyn H.
Reaction-diffusion equations (RDEs) model the spatiotemporal evolution of a density field $u(\vec{x},t)$ according to diffusion and net local changes. Usually, the diffusivity is positive for all values of $u,$ which causes the density to disperse. H
Externí odkaz:
http://arxiv.org/abs/2309.00204