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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Smooth imploding solutions for 3D compressible fluids
Building upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [67, 68, 69], we construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases for all adiabatic exponents ...
Tristan Buckmaster+2 more
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On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations. [PDF]
Lin Q, Liu X, Titi ES.
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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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On blow-up for the supercritical defocusing nonlinear wave equation
In this paper, we consider the defocusing nonlinear wave equation $-\partial _t^2u+\Delta u=|u|^{p-1}u$ in $\mathbb {R}\times \mathbb {R}^d$ .
Feng Shao, Dongyi Wei, Zhifei Zhang
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Invariant Measures for the Stochastic One-Dimensional Compressible Navier-Stokes Equations. [PDF]
Coti Zelati M, Glatt-Holtz N, Trivisa K.
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A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current. [PDF]
Martin CI, Quirchmayr R.
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A multiscale model for espresso brewing: Asymptotic analysis and numerical simulation
We present a novel multiscale mathematical model of espresso brewing. The model captures liquid infiltration and flow through a packed bed of ground coffee, as well as coffee solubles transport (both in the grains and in the liquid) and solubles ...
Yoana Grudeva+2 more
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Analytical solutions of cylindrical and spherical dust ion-acoustic solitary waves
In the present work, employing the conventional reductive perturbation method to the field equations of an unmagnetized dusty plasma consisting of inertial ions, Boltzmann electrons and stationary dust particles in the nonplanar geometry we derived ...
Essam. R. El-Zahar, Hilmi Demiray
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On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model
Pražák Dalibor, Žabenský Josef
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