English

Global solution in critical spaces to the compressible Oldroyd-B model with non-small coupling parameter

Analysis of PDEs 2014-10-29 v1

Abstract

This paper is dedicated to the global well-posedness issue of the compressible Oldroyd-B model in the whole space Rd\R^d with d2d\ge2. It is shown that this set of equations admits a unique global solution in a certain critical Besov space provided the initial data, but not necessarily the coupling parameter, is small enough. This result extends the work by Fang and the author [{J. Differential Equations}, {256}(2014), 2559--2602] to the non-small coupling parameter case.

Keywords

Cite

@article{arxiv.1410.7483,
  title  = {Global solution in critical spaces to the compressible Oldroyd-B model with non-small coupling parameter},
  author = {Ruizhao Zi},
  journal= {arXiv preprint arXiv:1410.7483},
  year   = {2014}
}
R2 v1 2026-06-22T06:38:05.309Z