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13 papers · 1 filter
Energy equality for the isentropic compressible Navier-Stokes equations without upper bound of the density
Yulin Ye, Yanqing Wang, Huan Yu
In this paper, we are concerned with the minimal regularity of both the density and the velocity for the weak solutions keeping energy equality in the isentropic compressible Navie…
The role of density in the energy conservation for the isentropic compressible Euler equations
Yanqing Wang, Yulin Ye, Huan Yu
In this paper, we study Onsager's conjecture on the energy conservation for the isentropic compressible Euler equations via establishing the energy conservation criterion involving…
Multiple solutions of double phase variational problems with variable exponent
Xiayang Shi, Vicenţiu D. Rădulescu, Dušan D. Repovš +1
This paper deals with the existence of multiple solutions for the quasilinear equation in , which in…
New regularity criteria based on pressure or gradient of velocity in Lorentz spaces for the 3D Navier-Stokes equations
Xiang Ji, Yanqing Wang, Wei Wei
In this paper, we derive regular criteria via pressure or gradient of the velocity in Lorentz spaces to the 3D Navier-Stokes equations. It is shown that a Leray-Hopf weak solution…
Refined blow up criteria for the full compressible Navier-Stokes equations involving temperature
Quansen Jiu, Yanqing Wang, Yulin Ye
In this paper, inspired by the study of the energy flux in local energy inequality of the 3D incompressible Navier-Stokes equations, we improve almost all the blow up criteria invo…
-regularity criteria in anisotropic Lebesgue spaces and Leray's self-similar solutions to the 3D Navier-Stokes equations
Yanqing Wang, Gang Wu, Daoguo Zhou
In this paper, we establish some -regularity criteria in anisotropic Lebesgue spaces for suitable weak solutions to the 3D Navier-Stokes equations as follows: $$ \lims…