Results 31 to 40 of about 2,785 (130)
Renormalized solutions of the 2d Euler equations [PDF]
, 2014 In this paper we prove that solutions of the 2D Euler equations in vorticity formulation obtained via vanishing viscosity approximation are ...
Crippa, Gianluca, Spirito, Stefano
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Global well-posedness for the critical 2D dissipative quasi-geostrophic equation [PDF]
, 2006 We give an elementary proof of the global well-posedness for the critical 2D dissipative quasi-geostrophic equation. The argument is based on a non-local maximum principle involving appropriate moduli of continuity.Comment: 7 ...
A. Cordoba +8 more
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Global Well-Posedness for 2-D Viscoelastic Fluid Model [PDF]
, 2016 This paper is concerned with a mathematical model which describes 2-D flows of an incompressible viscoelastic fluid of Oldroyd type in a bounded domain.
Artemov, Mikhail A. +1 more
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The continuum limit of Follow-the-Leader models - a short proof [PDF]
, 2017 We offer a simple and self-contained proof that the Follow-the-Leader model converges to the Lighthill-Whitham-Richards model for traffic ...
Holden, Helge, Risebro, Nils Henrik
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Journal of Applied Mathematics, Volume 2003, Issue 9, Page 429-446, 2003., 2003 In turbulent flow, the normal procedure has been seeking means u¯ of the fluid velocity u rather than the velocity itself. In large eddy simulation, we use an averaging operator which allows for the separation of large‐ and small‐length scales in the flow field. The filtered field u¯ denotes the eddies of size O(δ) and larger.
Meryem Kaya
wiley +1 more source
Existence and uniqueness of global solutions for the modified anisotropic 3D Navier-Stokes equations [PDF]
, 2016 We study a modified three-dimensional incompressible anisotropic Navier-Stokes equations. The modification consists in the addition of a power term to the nonlinear convective one.
Bessaih, Hakima +2 more
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Advances in Nonlinear Analysis, 2022 In this article, we will develop an analytical approach to construct the global bounded weak solutions to the initial-boundary value problem of a three-dimensional chemotaxis-Stokes system with porous medium cell diffusion Δnm\Delta {n}^{m} for m≥6563m ...
Tian Yu, Xiang Zhaoyin
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International Journal of Apllied Mathematics, 2018 A non-linear process of moisture transport in the soil containing thin inclusions has been investigated. The corresponding one-dimensional boundary value problem has been solved numerically with the finite element method.
P. Martyniuk +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 9, Page 501-516, 2002., 2002 We study asymptotic behavior in time of global small solutions to the quadratic nonlinear Schrödinger equation in two‐dimensional spaces i∂tu + (1/2)Δu = 𝒩(u), (t, x) ∈ ℝ × ℝ2; u(0, x) = φ(x), x ∈ ℝ2, where 𝒩(u)=Σj,k=12(λjk(∂xju)(∂xku)+μjk(∂xju¯)(∂xku¯)), where λjk, μjk ∈ ℂ.
Nakao Hayashi, Pavel I. Naumkin
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Inviscid, zero Froude number limit of the viscous shallow water system
Open Mathematics, 2021 In this paper, we study the inviscid and zero Froude number limits of the viscous shallow water system. We prove that the limit system is represented by the incompressible Euler equations on the whole space.
Yang Jianwei, Liu Mengyu, Hao Huiyun
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