Anomalous Regularization in Kraichnan's Passive Scalar Model

Autor:	Galeati, Lucio, Grotto, Francesco, Maurelli, Mario
Rok vydání:	2024
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs 76F55 76M35 76F25 35R36
Druh dokumentu:	Working Paper
Popis:	We consider the advection of a passive scalar by a divergence free random Gaussian field, white in time and H\"older regular in space (rough Kraichnan's model), a well established synthetic model of passive scalar turbulence. By studying the evolution of negative Sobolev norms, we show an anomalous regularization effect induced by the dynamics: distributional initial conditions immediately become functions of positive Sobolev regularity. Comment: 24 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.16668 Zobrazit plný text záznamu View this record from Arxiv