Results 31 to 40 of about 2,352 (109)
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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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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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 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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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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Convex dynamics in Hele‐Shaw cells
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 11, Page 639-650, 2002., 2002 We study geometric properties of a contracting bubble driven by a homogeneous source at infinity and surface tension. The properties that are preserved during the time evolution are under consideration. In particular, we study convex dynamics of the bubble and prove that the rate of the area change is controlled by variation of the bubble logarithmic ...
Dmitri Prokhorov, Alexander Vasil′ev
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Existence of global solution for a differential system with initial data in Lp
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 823-834, 1999., 1999 In this paper, we study the system governing flows in the magnetic field within the earth. The system is similar to the magnetohydrodynamic (MHD) equations. By establishing a new priori estimates and following Calderón′s procedure for the Navier Stokes equations [1], we obtained, for initial data in space Lp, the global in time existence and uniqueness
Peter Bates, Fengxin Chen, Ping Wang
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Single peaked traveling wave solutions to a generalized μ-Novikov Equation
Advances in Nonlinear Analysis, 2020 In this paper, we study the existence of peaked traveling wave solution of the generalized μ-Novikov equation with nonlocal cubic and quadratic nonlinearities.
Moon Byungsoo
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Magneto‐micropolar fluid motion: global existence of strong solutions
Abstract and Applied Analysis, Volume 4, Issue 2, Page 109-125, 1999., 1999 By using the spectral Galerkin method, we prove a result on global existence in time of strong solutions for the motion of magneto‐micropolar fluid without assuming that the external forces decay with time. We also derive uniform in time estimates of the solution that are useful for obtaining error bounds for the approximate solutions.
Elva E. Ortega-Torres +1 more
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On the differential system govering flows in magnetic field with data in Lp
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 299-305, 1998., 1996 In this paper we study the system governing flows in the magnetic field within the earth. The system is similar to the magnetohydrodynamic (MHD) equations. For initial data in space Lp, we obtained the local in time existence and uniqueness ofweak solutions of the system subject to appropriate initial and boundary conditions.
Fengxin Chen, Ping Wang, Chaoshun Qu
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