Results 31 to 40 of about 2,766 (130)
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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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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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
semanticscholar +1 more source
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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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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A coupling problem for entire functions and its application to the long-time asymptotics of integrable wave equations [PDF]
, 2016 We propose a novel technique for analyzing the long-time asymptotics of integrable wave equations in the case when the underlying isospectral problem has purely discrete spectrum. To this end, we introduce a natural coupling problem for entire functions,
Eckhardt, Jonathan, Teschl, Gerald
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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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On the existence of global weak solutions of a 2D sediment transport model
Nonautonomous Dynamical Systems, 2022 In the abstract, homogenize the references as follows: In this paper,we study the existence of global weak solutions of a two dimensionnal model. The model is inspired by the one studied in [Math. Models Methods Appl. Sci. 19 (2009), 477-499].
Zongo Yacouba +3 more
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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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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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