Results 81 to 90 of about 2,785 (130)

Singularity \& Regularity Issues for Simplified Models of Turbulence

, 2011
We consider a family of Leray-$\alpha$ models with periodic boundary conditions in three space dimensions. Such models are a regularization, with respect to a parameter $\theta$, of the Navier-Stokes equations. In particular, they share with the original
Ali, Hani, Ammari, Zied
core   +1 more source

Time decay estimates of solutions to a two-phase flow model in the whole space

Advances in Nonlinear Analysis
In this article, we aim to establish the optimal time decay rates of strong solutions to a two-phase flow model derived from a type of coupled fluid-kinetic equation.
Wu Yakui, Wu Qiong, Zhang Yue
doaj   +1 more source

Solitary wave solutions for the originating waves that propagate of the fractional Wazwaz-Benjamin-Bona-Mahony system

Alexandria Engineering Journal, 2023
In this article, we discuss various solitary wave solutions that are extremely important in applied mathematics. In order to construct accurate solution to nonlinear fractional PDEs, we have employed the Khater technique to nonlinear equation for 3 ...
Asghar Ali, Jamshad Ahmad, Sara Javed
doaj  

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

Pullback attractors for a class of second-order delay evolution equations with dispersive and dissipative terms on unbounded domain

Open Mathematics
In this article, we investigate the long-time behavior for the ill-posed problems ∂2u∂t2+∂u∂t+λu−Δu−Δ∂u∂t−Δ∂2u∂t2=f(t,u(x,t−ρ(t)))+g(t,x),in(τ,+∞)×RN,\frac{{\partial }^{2}u}{\partial {t}^{2}}+\frac{\partial u}{\partial t}+\lambda u-\Delta u-\Delta \frac{\
Zhang Fang-hong
doaj   +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
doaj   +1 more source

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

The exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Results in Physics, 2021
In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3 + 1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which ...
Xiaofang Duan, Junliang Lu
doaj  

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