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20022011
most citedRandom data Cauchy theory for supercritical wave equations I: Local theory

200 citations

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math.AP2009

Generation of interface for an Allen-Cahn equation with nonlinear diffusion

Matthieu Alfaro, Danielle Hilhorst

In this note, we consider a nonlinear diffusion equation with a bistable reaction term arising in population dynamics. Given a rather general initial data, we investigate its behav…

math.AP2009★ 4 cited

Global Regularity for the Navier-Stokes equations with large, slowly varying initial data in the vertical direction

Marius Paicu, Zhifei Zhang

In a recent article, J.-Y. Chemin, I. Gallagher and M. Paicu obtained a class of large initial data generating a global smooth solution to the three dimensional, incompressible Nav…