Anomalous Dissipation for the Forced 3D Navier–Stokes Equations

被引：0
|
作者：
Elia Bruè
Camillo De Lellis
机构：
[1] Institute for Advanced Study,School of Mathematics
来源：
Communications in Mathematical Physics | 2023年 / 400卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the forced incompressible Navier–Stokes equations with vanishing viscosity on the three-dimensional torus. We show that there are (classical) solutions for which the dissipation rate of the kinetic energy is bounded away from zero, uniformly in the viscosity parameter, while the body forces are uniformly bounded in some reasonable regularity class.
引用
收藏
页码：1507 / 1533
页数：26
相关论文
共 50 条
  • [31] Determination of the 3D Navier-Stokes equations with damping
    Shi, Wei
    Yang, Xinguang
    Yan, Xingjie
    ELECTRONIC RESEARCH ARCHIVE, 2022, 30 (10): : 3872 - 3886
  • [32] Asymptotic stability for the 3D Navier-Stokes equations
    Zhou, Y
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2005, 30 (1-3) : 323 - 333
  • [33] Partial Regularity for the 3D Navier-Stokes Equations
    Robinson, James C.
    MATHEMATICAL ANALYSIS OF THE NAVIER-STOKES EQUATIONS, 2020, 2254 : 147 - 192
  • [34] On the energy equality for the 3D Navier-Stokes equations
    Berselli, Luigi C.
    Chiodaroli, Elisabetta
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 192
  • [35] Ergodicity for the 3D stochastic Navier-Stokes equations
    Da Prato, G
    Debussche, A
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2003, 82 (08): : 877 - 947
  • [36] Exact Solution of 3D Navier-Stokes Equations
    Koptev, Alexander, V
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2020, 13 (03): : 306 - 313
  • [37] SUFFICIENT CONDITIONS FOR THE REGULARITY TO THE 3D NAVIER STOKES EQUATIONS
    Cao, Chongsheng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 26 (04) : 1141 - 1151
  • [38] REGULARITY OF 3D AXISYMMETRIC NAVIER-STOKES EQUATIONS
    Chen, Hui
    Fang, Daoyuan
    Zhang, Ting
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (04) : 1923 - 1939
  • [39] On the 3D Navier-Stokes equations with regularity in pressure
    Liu, Qiao
    Dai, Guowei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 458 (01) : 497 - 507
  • [40] Determining modes for the 3D Navier-Stokes equations
    Cheskidov, Alexey
    Dai, Mimi
    Kavlie, Landon
    PHYSICA D-NONLINEAR PHENOMENA, 2018, 374 : 1 - 9
12345