In this article, we consider the well-posedness of the local smooth solutions to the physical vacuum free boundary problem of the cylindrical symmetric Euler equations with time-dependent damping −μ(1+t)λρu-\frac{\mu }{{(1+t)}^{\lambda }}\rho {\bf{u}}, μ>
Li Haitong, Mai La-Su, Wang Shiyu
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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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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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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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A regularity result for incompressible elastodynamics equations in the ALE coordinates
We consider incompressible inviscid elastodynamics equations with a free surface and establish regularity of solutions for these equations. Compared with previous result on this free boundary problem [X. Gu and F.
Xie Binqiang
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Geophysical water flows with constant vorticity and centripetal terms. [PDF]
Martin CI.
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Energy-variational solutions for viscoelastic fluid models
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
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