Dissipative measure-valued solutions to the magnetohydrodynamic equations
In this paper, we study the dissipative measure-valued solution to the magnetohydrodynamic equations of 3D compressible isentropic flows with the adiabatic exponent γ > 1 and prove that a dissipative measure-valued solution is the same as the standard smooth classical solution as long as the latter exists, provided they emanate from the same initial data (weak–strong) uniqueness principle.
Authors
- Huimin Wang (ORCID: https://orcid.org/0009-0004-3521-2326)
- Jianwei Yang (ORCID: https://orcid.org/0000-0003-2778-8224)
- Qihong Shi
Institutions
- North China University of Water Resources and Electric Power (CN)
- Lanzhou University of Technology (CN)
Publication Details
- Journal
- Mathematical Modelling and Analysis
- Published
- 2025-01-27
- DOI
- https://doi.org/10.3846/mma.2025.19998
- Citations
- 1
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 3.73
Funders
- National Science Foundation
- National Natural Science Foundation of China