Global strong solutions to a one-dimensional full non-Newtonian fluid with far field vacuum

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Li Fang, Yu Wang, Aibin Zang
DOI: 10.48550/arxiv.2603.00671
Cited by: 0

Abstract

In this paper, the Cauchy problem for a one-dimensional heat conducting compressible non-Newtonian fluid is considered. The constitute equation of the non-Newtonian fluid is determined by two nonlinear terms $(|u_x|^{q-2}u_x)_x$ and $(|θ_x|^{p-2}θ_x)_x$ with $1

Fields of Study & Subjects

Navier-Stokes equation solutions Nonlinear Partial Differential Equations Fluid dynamics and aerodynamics studies

Publication details

Journal / source
arXiv (Cornell University)
Publication date
28 February 2026
Language
EN
Document type
Preprint