On a blow-up criterion for the Navier-Stokes-Fourier system under general equations of state

被引：0

作者：

Abbatiello, Anna ^{[1
]}

Basaric, Danica ^{[2
]}

Chaudhuri, Nilasis ^{[3
]}

机构：

[1] Univ Campania L Vanvitelli, Dept Math & Phys, Via A Lincoln 5, I-81100 Caserta, Italy

[2] Politecn Milan, Dept Math, Via E Bonardi 9, I-20133 Milan, Italy

[3] Univ Warsaw, Fac Math Informat & Mech, Stefana Banacha 2, PL-02097 Warsaw, Poland

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2025年 / 84卷

关键词：

Navier-Stokes-Fourier system; Blow-up criterion; Inhomogeneous Dirichlet boundary conditions; General equations of state; REGULARITY; EXISTENCE;

D O I：

10.1016/j.nonrwa.2025.104328

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove a blow-up criterion for the compressible Navier-Stokes-Fourier system for general thermal and caloric equations of state with inhomogeneous boundary conditions for the velocity and the temperature. Assuming only that Gibb's equation and the thermodynamic stability hold, we show that solutions in a certain regularity class remain regular under the condition that the density, the temperature and the modulus of the velocity are bounded.

引用

页数：11

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