Results 21 to 30 of about 819 (86)
Vanishing viscosity plane parallel channel flow and related singular perturbation problems
, 2008 We study a special class of solutions to the 3D Navier-Stokes equations ∂tu +∇uνu +∇p = ν∆u , with no-slip boundary condition, on a domain of the form Ω = {(x, y, z) : 0 ≤ z ≤ 1}, dealing with velocity fields of the form u(t, x, y, z) = (v(t, z), w(t, x,
A. Mazzucato, Michael Taylor
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Asymptotic solutions of diffusion models for risk reserves
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 35, Page 2221-2239, 2003., 2003 We study a family of diffusion models for risk reserves which account for the investment income earned and for the inflation experienced on claim amounts. After we defined the process of the conditional probability of ruin over finite time and imposed the appropriate boundary conditions, classical results from the theory of diffusion processes turn the
S. Shao
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Extinction properties of solutions for a fast diffusion equation with nonlocal source
Boundary Value Problems, 2013 In this paper, we investigate extinction properties of nonnegative nontrivial solutions for an initial boundary value problem of a fast diffusion equation with a nonlocal source in bounded domain.
Z. Fang, Mei Wang
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Universal estimate of the gradient for parabolic equations [PDF]
, 2008 We suggest a modification of the estimate for weighted Sobolev norms of solutions of parabolic equations such that the matrix of the higher order coefficients is included into the weight for the gradient. More precisely, we found the upper limit estimate
Dokuchaev N G +4 more
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Abstract and Applied Analysis, Volume 2003, Issue 10, Page 573-589, 2003., 2003 This paper deals with weak solution in weighted Sobolev spaces, of three‐point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly, prove the existence, uniqueness, and continuous dependence of the solution for the linear equation.
Abdelfatah Bouziani
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EXACT SOLUTIONS OF BOUNDARY-VALUE PROBLEMS
International Journal of Apllied Mathematics, 2018 A survey of an approach for obtaining explicit formulae for solving local and nonlocal boundary value problems (BVPs) for some linear partial differential equations is presented. To this end an extension of the HeavisideMikusiński operational calculus is
I. Dimovski, M. Spiridonova
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Sharp Fronts Due to Diffusion and Viscoelastic Relaxation in Polymers [PDF]
, 1991 A model for sharp fronts in glassy polymers is derived and analyzed. The major effect of a diffusing penetrant on the polymer entanglement network is taken to be the inducement of a differential viscoelastic stress.
Cohen, Donald S., White, Andrew B., Jr.
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Abstract and Applied Analysis, Volume 2003, Issue 16, Page 899-922, 2003., 2003 This paper deals with an initial boundary value problem with an integral condition for the two‐dimensional diffusion equation. Thanks to an appropriate transformation, the study of the given problem is reduced to that of a one‐dimensional problem. Existence, uniqueness, and continuous dependence upon data of a weak solution of this latter are proved by
Nabil Merazga, Abdelfatah Bouziani
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Free boundary problems in controlled release pharmaceuticals. I: diffusion in glassy polymers [PDF]
, 1988 This paper formulates and studies two different problems occurring in the formation and use of pharmaceuticals via controlled release methods. These problems involve a glassy polymer and a penetrant, and the central problem is to predict and control the ...
Cohen, Donald S., Erneux, Thomas
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Time‐dependent Stokes equations with measure data
Abstract and Applied Analysis, Volume 2003, Issue 17, Page 953-973, 2003., 2003 We establish the existence of a unique solution of an initial boundary value problem for the nonstationary Stokes equations in a bounded fixed cylindrical domain with measure data. Feedback laws yield the source and its intensity from the partial measurements of the solution in a subdomain.
Bui An Ton
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