Strong Solution for a Nonlinear Non-Newtonian Shear Thickening Fluid

Yukun Song (), Lin Jin and Yang Chen
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Yukun Song: College of Science, Liaoning University of Technology, Jinzhou 121001, China
Lin Jin: College of Science, Liaoning University of Technology, Jinzhou 121001, China
Yang Chen: College of Science, Liaoning University of Technology, Jinzhou 121001, China

Mathematics, 2025, vol. 13, issue 5, 1-18

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.

Keywords: nonlinear; compressible; shear thickening fluid; non-Newtonian (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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