Work

Weak solutions to the steady compressible Euler equations with source terms

Year: 2024

Type: article

Abstract: In this paper, we showed that for some given suitable density and pressure, there exist infinitely many compactly supported solutions with prescribed energy profile. The proof is mainly based on the convex integration scheme. We construct suitable subsolutions and localized plane-wave solutions to the reformulated system, and weak solutions are obtained by iterating these subsolutions.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2024180

Author: Anxiang Huang

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405308922

FWCI:

Cites: 29

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Related to: 10