Results 51 to 60 of about 183,867 (177)

Remarks on the “Onsager Singularity Theorem” for Leray–Hopf Weak Solutions: The Hölder Continuous Case

Mathematics, 2023
In this paper, we first present an overview of the results related to energy conservation in spaces of Hölder-continuous functions for weak solutions to the Euler and Navier–Stokes equations.
Luigi C. Berselli
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Nonuniqueness of weak solutions to the Navier-Stokes equation

, 2018
For initial datum of finite kinetic energy, Leray has proven in 1934 that there exists at least one global in time finite energy weak solution of the 3D Navier-Stokes equations. In this paper we prove that weak solutions of the 3D Navier-Stokes equations
Buckmaster, Tristan, Vicol, Vlad
core   +1 more source

Global regularity for a family of 3D models of the axisymmetric Navier-Stokes equations [PDF]

, 2017
We consider a family of 3D models for the axi-symmetric incompressible Navier-Stokes equations. The models are derived by changing the strength of the convection terms in the axisymmetric Navier-Stokes equations written using a set of transformed ...
Hou, Thomas Y, Liu, Pengfei, Wang, Fei
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Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality

Fixed Point Theory and Algorithms for Sciences and Engineering, 2021
This paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point.
Min Ling, Weimin Han
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Navier-Stokes Equations

, 1988
Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, Navier-Stokes Equations provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.
Constantin, P., Foias, C.
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Navier-Stokes equations in the half-space in variable exponent spaces of Clifford-valued functions

Electronic Journal of Differential Equations, 2017
In this article, we study the steady generalized Navier-Stokes equations in a half-space in the setting of variable exponent spaces. We first establish variable exponent spaces of Clifford-valued functions in a half-space.
Rui Niu, Hongtao Zheng, Binlin Zhang
doaj  

Unconditional energy conservation and conditional regularity for the incompressible Navier-Stokes Maxwell system

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we study a hydrodynamic system modeling the evolution of a plasma subject to a self-induced electromagnetic Lorentz force in incompressible viscous fluids. The system consists of the Navier–Stokes equations coupled with a Maxwell equation.
Dandan Ma, Fan Wu
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Self-Similar Solutions with Elliptic Symmetry for the Compressible Euler and Navier-Stokes Equations in R^{N}

, 2011
Based on Makino's solutions with radially symmetry, we extend the corresponding ones with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R^{N} (N\geq2).
Yuen, Manwai
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Euler and Navier-Stokes equations [PDF]

Publicacions Matemàtiques, 2008
We present results concerning the local existence, regularity and possible blow up of solutions to incompressible Euler and Navier-Stokes equations.
openaire   +5 more sources

Rheology of compressible and density-variable Newtonian flows: non-Stokes hypothesis and ‘volume diffusion’

Journal of Physics Communications
Stokes’ hypothesis allows for the frequent neglect of the bulk viscosity term related to fluid dilation effects on the viscous stress tensor in Newtonian flows.
S Kokou Dadzie
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