Burgers equation in the adhesion model

Yuri Gliklikh; Evelina Shamarova

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arXiv · 1911.04515

Burgers equation in the adhesion model

Yuri Gliklikh·Evelina Shamarova

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Abstract

We prove the existence and uniqueness of a classical solution to a multidimensional non-potential stochastic Burgers equation with H\"older 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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Yuri Gliklikh, Evelina Shamarova. 2019-11-11. Burgers equation in the adhesion model. https://arxiv.org/abs/1911.04515

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