Work

Weak solutions for steady, fully inhomogeneous generalized Navier-Stokes equations

Year: 2024

Type: article

Abstract: We consider the question of existence of weak solutions for the fully inhomogeneous, stationary generalized Navier–Stokes equations for homogeneous, shear-thinning fluids. For a shear rate exponent p ∈ ( 2 d d + 1 , 2 ) , previous results require either smallness of the norm or vanishing of the normal component of the boundary data. In this work, combining previous methods, we propose a new, more general smallness condition.

Source: Nonlinear Analysis

DOI: 10.1016/j.na.2024.113715

Authors: Julius Jeßberger, Michael Růžička

Institution: University of Freiburg

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,610

Funders: Albert-Ludwigs-Universität Freiburg, Konrad-Adenauer-Stiftung