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Burgers equation in the adhesion model
Applicable Analysis ( IF 1.1 ) Pub Date : 2020-04-02 , DOI: 10.1080/00036811.2020.1747612 Yuri Gliklikh 1 , Evelina Shamarova 2
中文翻译:
粘附模型中的 Burgers 方程
更新日期:2020-04-02
Applicable Analysis ( IF 1.1 ) Pub Date : 2020-04-02 , DOI: 10.1080/00036811.2020.1747612 Yuri Gliklikh 1 , Evelina Shamarova 2
Affiliation
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.
中文翻译:
粘附模型中的 Burgers 方程
我们证明了具有 Hölder 连续初始数据的多维非势随机 Burgers 方程的经典解的存在性和唯一性。我们的动机是宇宙大尺度结构形成理论中的粘附模型。重要的是,我们放弃了物理学文献中对速度流的可能性提出质疑的假设。