Burgers equation in the adhesion model

被引：1

作者：

Gliklikh, Yuri ^{[1
]}

Shamarova, Evelina ^{[2
]}

机构：

[1] Voronezh State Univ, Math Fac, Voronezh, Russia

[2] Univ Fed Paraiba, Math Dept, Joao Pessoa, Paraiba, Brazil

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 02期

关键词：

Multidimensional non-potential stochastic Burgers equation; adhesion model; GRAVITATIONAL-INSTABILITY; TURBULENCE;

D O I：

10.1080/00036811.2020.1747612

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and uniqueness of a classical solution to a multidimensional non-potential stochastic Burgers equation with Holder continuous initial data. Our motivation is the adhesion model in the theory of formation of the large-scale structure of the universe. Importantly, we drop the assumption on the potentiality of the velocity flow that has been questioned in physics literature.

引用

页码：471 / 478

页数：8

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