On the mass transport by a Burgers velocity field

TL;DR

This paper investigates how mass is transported by a Burgers velocity field using stochastic process theory, focusing on the inviscid limit relevant to the early universe's evolution and providing mathematical foundations for existing models.

Contribution

It offers a rigorous mathematical analysis of mass transport in Burgers flows, especially in the inviscid limit, supporting the adhesion model in cosmology.

Findings

Mathematical foundations for the inviscid limit are established.

Validation of the adhesion model in early universe evolution.

Clarification of mass distribution computation methods.

Abstract

The mass transport by a Burgers velocity field is investigated in the framework of the theory of stochastic processes. Much attention is devoted to the limit of vanishing viscosity (inviscid limit) describing the "adhesion model" for the early stage of the evolution of the Universe. In particular the mathematical foundations for the ansatz currently used in the literature to compute the mass distribution in the inviscid limit are provided.