Regularizing factors for the Euler-Poisson equations

2024/08/03 by Rozanova, Olga S.
#35B20 #35F55 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Secondary 35B44

paper · doi:10.48550/arxiv.2408.01811

Abstract

he Cauchy problem for the Euler-Poisson equations without pressure is considered and the question of what additional terms added to the system can delay or completely prevent the loss of smoothness of the solution in a finite time is studied. We review already published and recent results in this field.

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