Global solvability of 1D equations of viscous compressible multi-fluids
Alexander Mamontov, Dmitriy Prokudin
TL;DR
This paper reviews various formulations of viscous compressible multi-fluid models with multiple velocities and discusses the mathematical challenges in proving their global solvability in one dimension.
Contribution
It provides a comprehensive analysis of the mathematical difficulties in establishing global existence results for 1D viscous multi-fluid equations.
Findings
Different formulations of the model are reviewed.
Key mathematical difficulties in proving global existence are analyzed.
The paper discusses boundary value problem results.
Abstract
We consider the model of viscous compressible multi-fluids with multiple velocities. We review different formulations of the model and the existence results for boundary value problems. We analyze crucial mathematical difficulties which arise during the proof of the global existence theorems in 1D case.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.