Results 71 to 80 of about 172 (152)

Some Invariant Solutions for Unsaturated Flow Models with Plant Root Extraction

, 2004
Using two parameter symmetry groups we shall obtain exact (invariant) solutions for a class of non-linear partial differential equations which models soil water infiltration and redistribution in a bedded soil profile irrigated by a drip irrigation
Khalique, CM, Baikov, VA
core  

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
doaj   +1 more source

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

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
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

Models of Internal Waves in the Presence of Currents

, 2016
A fluid system consisting of two domains is examined. The system is considered as being bounded at the bottom and top by a flatbed and wave-free surface respectively. An internal wave propagating in one direction, driven by gravity, acts as a free common
Compelli, Alan, Ivanov, Rossen
core  

Blow-up criteria for compressible viscoelastic flows with general pressure laws

Advances in Nonlinear Analysis
We investigate the blow-up criteria of strong solutions to the Dirichlet and Cauchy problems for the compressible viscoelastic equations with vacuum in two and three dimensions, where a general class of pressure laws without monotonicity constraints is ...
Wang Yong, Yang Jianquan
doaj   +1 more source

Nonstationary Flows with Viscous Heating Effects

, 1997
. The system of equations describing a nonstationary flow of a quasi-newtonian fluid, with temperature dependent viscosity and with the viscous heating, is considered. Existence of at least one weak solution is proved, i.e.
Andro Mikelic, Thierry Clopeau
core  

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
doaj   +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