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Showing 1-20 of 3,992 results
  1. On the study of three-dimensional compressible Navier–Stokes equations

    This work is devoted to the study of three-dimensional compressible Navier–Stokes equations on unstructured meshes. The approach used is based on...

    Mohamed Abdelwahed, Rabe Bade, ... Maatoug Hassine in Boundary Value Problems
    Article Open access 05 July 2024
  2. Homogenization of the two-dimensional evolutionary compressible Navier–Stokes equations

    We consider the evolutionary compressible Navier–Stokes equations in a two-dimensional perforated domain, and show that in the subcritical case of...

    Šárka Nečasová, Florian Oschmann in Calculus of Variations and Partial Differential Equations
    Article 03 July 2023
  3. Stochastic Compressible Navier–Stokes Equations Under Location Uncertainty

    The aim of this paper is to provide a stochastic version under location uncertainty of the compressible Navier–Stokes equations. To that end, some...
    Gilles Tissot, Étienne Mémin, Quentin Jamet in Stochastic Transport in Upper Ocean Dynamics II
    Conference paper Open access 2024
  4. Bicompact Schemes for Compressible Navier–Stokes Equations

    Abstract

    For the first time, bicompact schemes have been generalized to nonstationary Navier–Stokes equations for a compressible heat-conducting...

    M. D. Bragin in Doklady Mathematics
    Article 01 February 2023
  5. On the inviscid limit of the compressible Navier-Stokes equations near Onsager’s regularity in bounded domains

    The viscous dissipation limit of weak solutions is considered for the Navier-Stokes equations of compressible isentropic flows confined in a bounded...

    Robin Ming Chen, Zhilei Liang, ... Runzhang Xu in Science China Mathematics
    Article 19 June 2023
  6. Global Solutions to the 2D Compressible Navier-Stokes Equations with Some Large Initial Data

    We consider the global well-posedness of strong solutions to the Cauchy problem of compressible barotropic Navier-Stokes equations in ℝ 2 . By...

    ** Zhai, **n Zhong in Acta Mathematica Scientia
    Article 29 April 2023
  7. The Low Mach Number Limit for Isentropic Compressible Navier-Stokes Equations with a Revised Maxwell’s Law

    We investigate the low Mach number limit for the isentropic compressible Navier-Stokes equations with a revised Maxwell’s law (with Galilean...

    Yuxi Hu, Zhao Wang in Acta Mathematica Scientia
    Article 29 April 2023
  8. On Local Controllability for Compressible Navier-Stokes Equations with Density Dependent Viscosities

    In this paper, we study the controllability of compressible Navier-Stokes equations with density dependent viscosities. For when the shear viscosity μ ...

    **angkai Lian, Qiang Tao, Zheng-an Yao in Acta Mathematica Scientia
    Article 28 November 2022
  9. Global Well-Posedness for the Full Compressible Navier-Stokes Equations

    We are concerned with the Cauchy problem regarding the full compressible Navier-Stokes equations in ℝ d ( d = 2, 3). By exploiting the intrinsic...

    **lu Li, Zhaoyang Yin, ** Zhai in Acta Mathematica Scientia
    Article 25 July 2022
  10. Nonlinear Stability of Rarefaction Waves to the Compressible Navier-Stokes Equations for a Reacting Mixture with Zero Heat Conductivity

    In this paper, we study the time-asymptotically nonlinear stability of rarefaction waves for the Cauchy problem of the compressible Navier-Stokes...

    Lishuang Peng, Yong Li in Acta Mathematica Scientia
    Article 12 July 2023
  11. First-Order Positivity-Preserving Entropy Stable Scheme for the 3-D Compressible Navier–Stokes Equations

    In this paper, we extend the positivity-preserving, entropy stable first-order scheme developed for the one-dimensional compressible Navier–Stokes...

    Johnathon Upperman, Nail K. Yamaleev in Journal of Scientific Computing
    Article 16 December 2022
  12. Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations

    In this paper, we are interested in the finite time blow-up behaviors of strong solutions to the compressible Navier-Stokes equations with vacuum as...

    Yi** Zhang in Potential Analysis
    Article 06 June 2024
  13. High-Order Positivity-Preserving Entropy Stable Schemes for the 3-D Compressible Navier–Stokes Equations

    This paper extends a new family of high-order positivity-preserving, entropy stable spectral collocation schemes developed for the one-dimensional...

    Nail K. Yamaleev, Johnathon Upperman in Journal of Scientific Computing
    Article 15 February 2023
  14. Analytical Solutions to the Cylindrically Symmetric Compressible Navier–Stokes Equations with Density-Dependent Viscosity and Vacuum Free Boundary

    In this paper, we investigate the analytical solutions to the cylindrically symmetric compressible Navier–Stokes equations with density-dependent...

    Article 23 January 2024
  15. Global Spherically Symmetric Solutions for a Coupled Compressible Navier–Stokes/Allen–Cahn System

    In this paper, we consider the global spherically symmetric solutions for the initial boundary value problem of a coupled compressible...

    Chang Ming Song, Jian Lin Zhang, Yuan Yuan Wang in Acta Mathematica Sinica, English Series
    Article 15 April 2024
  16. Global Weak Solutions of Compressible Navier-Stokes-Landau-Lifshitz-Maxwell Equations for Quantum Fluids in Dimension Three

    In this paper, we consider the weak solutions of compressible Navier-Stokes-Landau-Lifshitz-Maxwell (CNSLLM) system for quantum fluids with a linear...

    Quansen Jiu, Lin Ma in Acta Mathematica Scientia
    Article 18 October 2022
  17. Global dynamics of large solution for the compressible Navier–Stokes–Korteweg equations

    In this paper, we study the Navier–Stokes–Korteweg equations governed by the evolution of compressible fluids with capillarity effects. We first...

    Article 26 April 2024
  18. Sharp Interface Limit for the One-dimensional Compressible Navier-Stokes/Allen-Cahn System with Composite Waves

    This paper is concerned with the sharp interface limit of Cauchy problem for the one-dimensional compressible Navier-Stokes/Allen-Cahn system with a...

    Ya-zhou Chen, Yi Peng, **ao-ding Shi in Acta Mathematicae Applicatae Sinica, English Series
    Article 01 June 2024
  19. Global existence for a class of large solution to compressible Navier–Stokes equations with vacuum

    In this paper, we are concerned with the Cauchy problem of the three-dimensional isentropic compressible Navier–Stokes equations. We prove the global...

    Guangyi Hong, **aofeng Hou, ... Changjiang Zhu in Mathematische Annalen
    Article 04 February 2023
  20. Remarks on Blowup of Solutions for Compressible Navier–Stokes Equations with Revised Maxwell’s Law

    In this note, we study the blowup of classical solutions to the three-dimensional compressible Navier–Stokes equations with revised Maxwell’s law....

    Article 01 December 2022
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