A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization
We propose a new blow-up criterion for the 3D Euler equations of incompressible fluid flows, based on the 3D Euler-Voigt inviscid regularization. This criterion is similar in character to a criterion proposed in a previous work by the authors, but it is ...
Larios, Adam, Titi, Edriss S.
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Global regularity for systems with p-structure depending on the symmetric gradient
In this paper we study on smooth bounded domains the global regularity (up to the boundary) for weak solutions to systems having p-structure depending only on the symmetric part of the gradient.
Berselli Luigi C., Růžička Michael
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On Existence and Admissibility of Singular Solutions for Systems of Conservation Laws. [PDF]
Kalisch H, Mitrovic D.
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An alternative approach to study irrotational periodic gravity water waves. [PDF]
Basu B, Martin CI.
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On an Oberbeck-Boussinesq model relating to the motion of a viscous fluid subject to heating
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
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Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
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
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Comparative Response of Newtonian and Non-Newtonian Fluids Subjected to Exothermic Reactions in Shear Flow. [PDF]
Chinyoka T.
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Euler-α equations in a three-dimensional bounded domain with Dirichlet boundary conditions
In this article, we investigate the Euler-α\alpha equations in a three-dimensional bounded domain. On the one hand, we prove in the Euler setting that the equations are locally well-posed with initial data in Hs(s≥3){H}^{s}\left(s\ge 3).
Yuan Shaoliang+3 more
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Global smooth solution to the n-dimensional liquid crystal equations with fractional dissipation
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
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Geophysical water flows with constant vorticity and centripetal terms. [PDF]
Martin CI.
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