On Singular Limits of Mean-Field Equations

(3) Goal : derive the nonlinear diffusion limit consistently with the Gibbs state : consider a ‘projection’ onto the local Gibbs state with the same spatial density (local

Please attach a cover sheet with a declaration http://tcd-ie.libguides.com/plagiarism/declaration confirming that you know and understand College rules on plagiarism.. On the same

Key words: Plasmas, hydrodynamic equations, quasilinear parabolic equations, asymptotic limits, existence and uniqueness of solutions.. AMS classification: 35K65, 35B40,

Moreover, it is proved that when n ≥ 3, a unique solution to the initial value problem exists globally in time and converges to the corresponding stationary solution as time tends

We prove that an extreme Kerr initial data set is a unique absolute minimum of the total mass in a (physically relevant) class of vacuum, maximal, asymptotically flat, axisymmetric

In our very recent paper [36], we developed a time-domain finite element method to simulate a cylindrical cloak [52], and carried out some mathematical analysis for this model..

The following proposition corrects the part of the proof of Proposition 5.7 of the

Veron, Uniqueness and asymptotic behaviour of solutions with boundary blow-up for a class of nonlinear elliptic equations, Ann. Veron, Existence and uniqueness results for