Energy equalities for compressible Navier–Stokes equations

Global weak solutions to the compressible quantum Navier–Stokes equation and its semi-classical limit

(2018) Ingrid Lacroix-Violet et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Onsager’s Conjecture on the Energy Conservation for Solutions of Euler Equations in Bounded Domains

(2018) Quoc-Hung Nguyen et al.   JOURNAL OF NONLINEAR SCIENCE

Onsager's Conjecture for Admissible Weak Solutions

(2018) Tristan Buckmaster et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Onsager's Conjecture and Anomalous Dissipation on Domains with Boundary

(2018) Theodore D. Drivas et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Regularity and Energy Conservation for the Compressible Euler Equations

(2016) Eduard Feireisl et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Existence of global weak solutions for 3D degenerate compressible Navier–Stokes equations

(2016) Alexis F. Vasseur et al.   INVENTIONES MATHEMATICAE

The energy balance relation for weak solutions of the density-dependent Navier–Stokes equations

(2016) T.M. Leslie et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Anomalous dissipation for 1/5-Hölder Euler flows

(2015) Tristan Buckmaster et al.   ANNALS OF MATHEMATICS

Dissipative Euler flows and Onsager's conjecture

(2014) Camillo De Lellis et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

The $h$-principle and the equations of fluid dynamics

(2012) Camillo De Lellis et al.   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Dissipative continuous Euler flows

(2012) Camillo De Lellis et al.   INVENTIONES MATHEMATICAE

Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow

(2010) Gui-Qiang G. Chen et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

On Admissibility Criteria for Weak Solutions of the Euler Equations

(2008) Camillo de Lellis et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS