Rafael Granero-Belinchón, Rafael Orive Illera
Published 2013-06-26, updated 2014-06-21Version 2
In this paper we study an aggregation equation with a general nonlocal flux. We study the local well-posedness and some conditions ensuring global existence. We are also interested in the differences arising when the nonlinearity in the flux changes. Thus, we perform some numerics corresponding to different convexities for the nonlinearity in the equation.
Stability of solutions to aggregation equation in bounded domains
Bound states of the NLS equation on metric graphs with localized nonlinearities
Well-posedness for the fourth-order Schrödinger equation with third order derivative nonlinearities
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