Burgers equation in the adhesion model. Issue 2 (22nd January 2022)

• Record Type: Journal Article
• Authors: Gliklikh, Yuri; Shamarova, Evelina
• Is Part Of: Applicable analysis. Volume 101:Issue 2(2022)
• Page Start: 471
• Page End: 478
• Publication Date: 2022-01-22
• Subjects: A. Pankov; Multidimensional non-potential stochastic Burgers equation -- adhesion model; 60H15 -- 60H10 -- 35K59; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2020.1747612
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : We prove the existence and uniqueness of a classical solution to a multidimensional non-potential stochastic Burgers equation with Hölder 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.