Results 31 to 40 of about 163 (148)
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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Abstract and Applied Analysis, Volume 2004, Issue 10, Page 815-829, 2004., 2004 This paper deals with the initial‐boundary value problem for the system of motion equations of an incompressible viscoelastic medium with Jeffreys constitutive law in an arbitrary domain of two‐dimensional or three‐dimensional space. The existence of weak solutions of this problem is obtained.
D. A. Vorotnikov, V. G. Zvyagin
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The evolution of dust emitted by a uniform source above ground level
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 52, Page 3327-3343, 2003., 2003 A uniform source situated at a fixed location starts to emit dust at a certain time, t = 0, and maintains the same action for t > 0. The subsequent spread of the dust into space is governed by an initial boundary value problem of the atmospheric diffusion equation.
I. A. Eltayeb, M. H. A. Hassan
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A rigorous derivation and energetics of a wave equation with fractional damping [PDF]
, 2020 We consider a linear system that consists of a linear wave equation on a horizontal hypersurface and a parabolic equation in the half space below. The model describes longitudinal elastic waves in organic monolayers at the water-air interface, which is ...
Netz, Roland R. +2 more
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Surge motion on a floating cylinder in water of finite depth
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3643-3656, 2003., 2003 We derived added mass and damping coefficients of a vertical floating circular cylinder due to surge motion in calm water of finite depth. This is done by deriving the velocity potential for the cylinder by considering two regions, namely, interior region and exterior region.
Dambaru D. Bhatta
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On a stochastic Burgers equation with Dirichlet boundary conditions
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 43, Page 2735-2746, 2003., 2003 We consider the one‐dimensional Burgers equation perturbed by a white noise term with Dirichlet boundary conditions and a non‐Lipschitz coefficient. We obtain existence of a weak solution proving tightness for a sequence of polygonal approximations for the equation and solving a martingale problem for the weak limit.
Ekaterina T. Kolkovska
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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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, 2009 Keywords: compressible Euler equations, exterior initial-boundary value problem, spherically symmetric solutions, lifespan.
Godin, Paul
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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
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MHD Equations in a Bounded Domain
Annales Mathematicae Silesianae, 2021 We consider the MHD system in a bounded domain Ω ⊂ ℝN, N = 2; 3, with Dirichlet boundary conditions. Using Dan Henry’s semigroup approach and Giga–Miyakawa estimates we construct global in time, unique solutions to fractional approximations of the MHD ...
Kania Maria B.
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