Results 81 to 90 of about 2,827 (129)

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

Open 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
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Some explicit solutions of the three-dimensional Euler equations with a free surface. [PDF]

Math Ann, 2022
Martin CI.
europepmc   +1 more source

Euler-α equations in a three-dimensional bounded domain with Dirichlet boundary conditions

Open Mathematics
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, Huang Lehui, Cheng Lin, You Xiaoguang   +3 more
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Global smooth solution to the n-dimensional liquid crystal equations with fractional dissipation

Demonstratio 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
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A Finite Element Approximation for Nematic Liquid Crystal Flow with Stretching Effect Based on Nonincremental Pressure-Correction Method. [PDF]

Entropy (Basel), 2022
Meng Z, Liu M, Jia H.
europepmc   +1 more source

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

Results 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
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Free surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitude. [PDF]

Ann Mat Pura Appl, 2022
Martin C, Petruşel A.
europepmc   +1 more source

Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem. [PDF]

J Math Fluid Mech, 2021
Martin CI.
europepmc   +1 more source

On the convergence rate of the Kačanov scheme for shear-thinning fluids. [PDF]

Calcolo, 2022
Heid P, Süli E.
europepmc   +1 more source

Classical solution for compressible Navier-Stokes-Korteweg equations with zero sound speed

Advances in Nonlinear Analysis
We consider the compressible Navier-Stokes-Korteweg equations describing the dynamics of a liquid-vapor mixture with diffuse interphase in Rd{{\mathbb{R}}}^{d} with d≥3d\ge 3 when the initial perturbation is suitably small.
Liu Mengqian, Wu Zhigang
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