Work

Existence and uniqueness of global strong solutions for 3D fractional compressible systems

Year: 2025

Type: article

Abstract: In this article, we study the Cauchy problem for 3D fractional compressible isentropic generalized Navier-Stokes equations for viscous compressible fluid with one Levy diffusion process. We first obtain the existence and uniqueness of global strong solutions for small initial data by providing several commutators via the Littlewood-Paley theory. We then derive the $L^2$-decay rate for the highest derivative of the strong solution without decay loss by using a cancellation of a low-medium-frequency quantity. Our results improve those provided recently in [36]. For more information see https://ejde.math.txstate.edu/Volumes/2025/35/abstr.html

Source: Electronic Journal of Differential Equations

DOI: 10.58997/ejde.2025.35

Authors: Mengqian Liu, Lei Niu, Zhigang Wu

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409205835

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