Results 81 to 90 of about 2,352 (109)

Global smooth solution to the n-dimensional liquid crystal equations with fractional dissipation

open access: yesDemonstratio Mathematica
In this article, we focus on the global regularity of n-dimensional liquid crystal equations with fractional dissipation terms (−Δ)αu{\left(-\Delta )}^{\alpha }u and (−Δ)βd{\left(-\Delta )}^{\beta }d.
Li Wei, Wu Qiongru
doaj   +1 more source

Algebraic spiral solutions of 2d incompressible Euler [PDF]

open access: yesarXiv, 2013
We consider self-similar solutions of the 2d incompressible Euler equations. We construct a class of solutions with vorticity forming algebraic spirals near the origin, in analogy to vortex sheets rolling up into algebraic spirals.
arxiv  

On an Oberbeck-Boussinesq model relating to the motion of a viscous fluid subject to heating

open access: yesOpen Mathematics
This article surveys some results in the study of Iannelli [Su un modello di Oberbeck-Boussinesq relativo al moto di un fluido viscoso soggetto a riscaldamento, Fisica Matematica, Istituto Lombardo (rend.
Iannelli Angela
doaj   +1 more source

Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics

open access: yesForum of Mathematics, Sigma
This paper is devoted to the global analysis of the three-dimensional axisymmetric Navier–Stokes–Maxwell equations. More precisely, we are able to prove that, for large values of the speed of light $c\in (c_0, \infty )$ , for some threshold ...
Diogo Arsénio   +2 more
doaj   +1 more source

The Compressible to Incompressible Limit of 1D Euler Equations: the Non Smooth Case [PDF]

open access: yesarXiv, 2013
We prove a rigorous convergence result for the compressible to incompressible limit of weak entropy solutions to the isothermal 1D Euler equations.
arxiv  

Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids

open access: yesAdvanced Nonlinear Studies, 2017
The generalized Forchheimer flows are studied for slightly compressible fluids in porous media with time-dependent Dirichlet boundary data for the pressure. No restrictions are imposed on the degree of the Forchheimer polynomial. We derive, for all time,
Hoang Luan T., Kieu Thinh T.
doaj   +1 more source

Energy-variational solutions for viscoelastic fluid models

open access: yesAdvances in Nonlinear Analysis
In this article, we introduce the concept of energy-variational solutions for a class of nonlinear dissipative evolutionary equations, which turns out to be especially suited to treat viscoelastic fluid models.
Agosti Abramo   +2 more
doaj   +1 more source

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