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A family of singular ordinary differential equations of the third order with an integral boundary condition
(Springer, 2018-12)
We establish in this paper the equivalence between a Volterra integral equation of the second kind and a singular ordinary differential equation of the third order with two initial conditions and an integral boundary ...
Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions
(Gauthier-villars/editions ElsevierParisFrança, 2004)
On Elliptic equations with singular potentials and nonlinear boundary conditions
(2018-01-01)
We consider the Laplace equation in the half-space satisfying a nonlinear Neumann condition with boundary potential. This class of problems appears in a number of mathematical and physics contexts and is linked to fractional ...
EXPLICIT REPRESENTATION FOR THE INFINITE-DEPTH TWO-DIMENSIONAL FREE-SURFACE GREEN'S FUNCTION IN LINEAR WATER-WAVE THEORY
(SIAM PUBLICATIONS, 2010)
In this paper we derive an explicit representation for the two-dimensional free-surface Green's function in water of infinite depth, based on a finite combination of complex-valued exponential integrals and elementary ...
A p-Laplacian problem with a multi-point boundary condition
(PERGAMON-ELSEVIER SCIENCE LTD, 2004)
In this paper we will use the degree theory to give an existence result to the boundary value problem of nonlinear perturbations of the scalar p-Laplacian with the multi-point boundary condition involving the Lebesgue-Stieltjes ...
Dynamical impacts associated with radiation boundary conditions
(Elsevier Science, 2001-12)
It is well known that the use of radiation conditions for the non-linear shallow water equations can lead to an incorrect model response in a variety of dynamical settings. In this study, we show that conditions aimed to ...
Non-classical Stefan problem with nonlinear thermal coefficients and a Robin boundary condition
(Pergamon-Elsevier Science Ltd, 2019-10)
A non-classical one dimensional Stefan problem with thermal coefficients temperature dependent and a Robin type condition at fixed face x=0 for a semi-infinite material is considered. The source function depends on the ...
Boundary and internal conditions for adjoint fluid-flow problems
(SPRINGER, 2009)
The ever-increasing robustness and reliability of flow-simulation methods have consolidated CFD as a major tool in virtually all branches of fluid mechanics. Traditionally, those methods have played a crucial role in the ...
GALERKIN APPROXIMATION FOR A SEMI LINEAR PARABOLIC PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS
(Universidad Católica del Norte, Departamento de Matemáticas, 2004)