arXiv (All)
open access
Global-in-time Well-posedness of Classical Solutions to the Vacuum Free Boundary Problem for the 1-D Viscous Saint-Venant System with Large Data
We establishes the global existence and uniqueness of classical solutions to the vacuum free boundary problem for the 1-D viscous Saint-Venant system with a general class of large initial data. Since the fluid depth $ρ$ vanishes on the moving boundary, the momentum equations degenerate in both time
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Local well-posedness for the KdV equation on the half-line at the critical regularity $H^{-\frac34}$#1064553
- Reaction-diffusion equations in periodic media: spreading speeds and spreading sets#1012958
- $L^1$ Behavior of the Stokes System and the Navier--Stokes System in the Half Space#1141806
- Large friction limit of compressible Navier--Stokes equations with Navier boundary conditions in a half-space#1075948
- Asymptotics of Laplace and Stokes solutions in the gap between a sharp tip and a smooth boundary#1123742
Record · ID 1217271
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive