Work

Strong Solution for a Nonlinear Non-Newtonian Shear Thickening Fluid

Year: 2025

Type: article

Abstract: This paper consider a nonlinear shear thickening fluid in one dimensional bounded interval. The model illustrates that the movement of the compressible fluid is driven by non-Newtonian gravity, and represents a more realistic phenomenon. The well-posedness of strong solution was proved by considering the influence of damping term. The essential difficulty lies in the equation’s significant nonlinearity and the initial state may allow for vacuum.

Source: Mathematics

DOI: 10.3390/math13050878

Authors: Yukun Song, Lin Jin, Yang Chen

Institution: Liaoning University of Technology

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Natural Science Foundation of China