Global solutions and uniform convergence stability for compressible Navier–Stokes equations with Oldroyd‐type constitutive law
Year: 2025
Type: article
Abstract: We consider a class of physically relevant one‐dimensional isentropic compressible Navier–Stokes equations with viscoelastic constitutive law of Oldroyd type. By establishing uniform a priori estimates (with respect to relaxation time), we show global existence of smooth solutions with small initial data. Moreover, we get global‐in‐time convergence of the system toward the classical isentropic compressible Navier–Stokes equations.
Source: Mathematische Nachrichten
DOI: 10.1002/mana.70075
Authors: Na Wang, Sébastien Boyaval, Yuxi Hu
Institutions: Laboratoire d'Hydraulique Saint-Venant, MATHERIALS: MATHematics for MatERIALS, Beijing Information Science & Technology University, Institut national de recherche en sciences et technologies du numérique, École nationale des ponts et chaussées, Électricité de France (France), Institut Polytechnique de Paris, China University of Mining and Technology, China University of Mining and Technology - Beijing
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G5777931467
OpenAlex ID: W4399877411