On a repulsion-diffusion equation with immigration

On a repulsion-diffusion equation with immigration

We study a repulsion-diffusion equation with immigration, whose asymptotic behaviour is related to stability of long-term dynamics in spatial population models and other branching particle systems. We prove well-posedness and find sharp conditions on the repulsion under which a form of the maximum p...

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Sonraí bibleagrafaíochta
Príomhchruthaitheoir: Koepernik, P
Formáid: Internet publication
Teanga:English
Foilsithe / Cruthaithe: 2023
Cur síos
Achoimre:We study a repulsion-diffusion equation with immigration, whose asymptotic behaviour is related to stability of long-term dynamics in spatial population models and other branching particle systems. We prove well-posedness and find sharp conditions on the repulsion under which a form of the maximum principle and a strong notion of global boundedness of solutions hold. The critical asymptotic strength of the repulsion is |x|1−d, that of the Newtonian potential.

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