نتایج جستجو برای: nonlinear boundary condition

تعداد نتایج: 656900  

1996

Fr echet diierentiability of the solution of the heat equation with respect to a nonlinear boundary condition Arnd RR osch Abstract. Consider the heat equation with a nonlinear function in the boundary condition which depends only on the boundary values x of the solution u of the initial-boundary value problem. The function belongs to a set of admissible diierentiable or uniformly Lipschitz con...

2007
DONG LIANG BO ZHANG

Consider a unidimensional, single-phase nonlinear Stefan problem with nonlinear source and permeance terms, and a Dirichlet boundary condition depending on the free-boundary function. This problem is important in groundwater ow. By immobilizing the free-boundary with the help of a Landau type transformation, together with a homogeneous transformation dealing with the nonhomogeneous Dirichlet bo...

2011
R. M. Caplan R. Carretero-Gonz'alez

An easy to implement modulus-squared Dirichlet (MSD) boundary condition is formulated for numerical simulations of time-dependent complex partial differential equations in multidimensional settings. The MSD boundary condition approximates a constant modulus-square value of the solution at the boundaries. Application of the MSD boundary condition to the nonlinear Schrödinger equation is shown, a...

Journal: :مکانیک سیالات و آیرودینامیک 0
سید حسین موسوی فتح¬اله امی

in this study a nonlinear asymmetric instability analysis carried out to study primary atomization of annular liquid sheets emanating from the prefilming airblast atomizer using a perturbation method and potential flow assumption. in this direction, firstly governing equations derived according to potential flow assumption and conservation equations while dynamic and static boundary condition a...

1998
Fadil Santosa Michael Vogelius Jian-Ming Xu

We give a formal derivation of an eeective nonlinear boundary condition associated with an electrostatic voltage potential on a corroding metal surface. Subsequently we use this boundary condition to analyze the determination of corrosion damage based on measurements of the boundary voltage potential and the associated current ux.

Journal: :Journal of Mathematics, Mechanics and Computer Science 2020

Journal: :Journal of Mathematical Analysis and Applications 2012

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