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Dissipative Measure‐Valued Solutions of the Compressible Navier–Stokes–Korteweg System.

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Bibliographic Details
Title: Dissipative Measure‐Valued Solutions of the Compressible Navier–Stokes–Korteweg System.
Authors: Yang, Jianwei1 (AUTHOR) yangjianwei@ncwu.edu.cn, Wang, Hongli2 (AUTHOR), Shi, Qihong3 (AUTHOR)
Source: Mathematical Methods in the Applied Sciences. Oct2025, p1. 10p.
Subject Terms: *COMPRESSIBILITY (Fluids), *VISCOUS flow, *FLUID mechanics, *VISCOSITY solutions, *UNIQUENESS (Mathematics), *CAPILLARY flow, *CLASSICAL solutions (Mathematics)
Abstract: ABSTRACT This work rigorously demonstrates the global‐in‐time existence of dissipative measure‐valued solutions for the Navier–Stokes–Korteweg system describing compressible viscous fluids with intrinsic capillarity effects on periodic spatial domains. Furthermore, we prove a weak–strong uniqueness principle that such dissipative measure‐valued solutions coincide with classical solutions when both emanate from identical initial data. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
Description
Abstract:ABSTRACT This work rigorously demonstrates the global‐in‐time existence of dissipative measure‐valued solutions for the Navier–Stokes–Korteweg system describing compressible viscous fluids with intrinsic capillarity effects on periodic spatial domains. Furthermore, we prove a weak–strong uniqueness principle that such dissipative measure‐valued solutions coincide with classical solutions when both emanate from identical initial data. [ABSTRACT FROM AUTHOR]
ISSN:01704214
DOI:10.1002/mma.70195