Results 51 to 60 of about 103 (91)

Theoretical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach

Advances in Nonlinear Analysis, 2017
In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
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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

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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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
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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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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

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
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