Results 101 to 110 of about 2,785 (130)

A regularity result for incompressible elastodynamics equations in the ALE coordinates

open access: yesAdvanced Nonlinear Studies
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
doaj   +1 more source

Smooth imploding solutions for 3D compressible fluids

open access: yesForum of Mathematics, Pi
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
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

On blow-up for the supercritical defocusing nonlinear wave equation

open access: yesForum of Mathematics, Pi
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
doaj   +1 more source

A multiscale model for espresso brewing: Asymptotic analysis and numerical simulation

open access: yesEuropean Journal of Applied Mathematics
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
doaj   +1 more source

Analytical solutions of cylindrical and spherical dust ion-acoustic solitary waves

open access: yesResults in Physics, 2019
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
doaj  

On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model

open access: yesOpen Mathematics, 2013
Pražák Dalibor, Žabenský Josef
doaj   +1 more source

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