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.
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页码：471 / 478
页数：8
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