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Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions
(Gauthier-villars/editions ElsevierParisFrança, 2004)
One-Phase Stefan-Like Problems with Latent Heat Depending on the Position and Velocity of the Free Boundary and with Neumann or Robin Boundary Conditions at the Fixed Face
(Hindawi Publishing Corporation, 2018-08)
A one-phase Stefan-type problem for a semi-infinite material which has as its main feature a variable latent heat that depends on the power of the position and the velocity of the moving boundary is studied. Exact solutions ...
A nonlocal nonlinear diffusion equation with blowing up boundary conditions
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
We deal with boundary value problems (prescribing Dirichlet or Neumann boundary conditions) for a nonlocal nonlinear diffusion operator which is analogous to the porous medium equation. First, we prove existence, uniqueness ...
A strategy to implement Dirichlet boundary conditions in the context of ADER finite volume schemes. One-dimensional conservation laws
(Pergamon-Elsevier, 2016)
ADER schemes are numerical methods, which can reach an arbitrary order of accuracy in both space and time. They are based on a reconstruction procedure and the solution of generalized Riemann problems. However, for general ...
Relationship between Neumann solutions for two-phase Lamé-Clapeyron-Stefan problems with convective and temperature boundary conditions
(Vinca Inst Nuclear Sci, 2017-01)
We obtain for the two-phase Lamé-Clapeyron-Stefan problem for a semi-infinite material an equivalence between the temperature and convective boundary conditions at the fixed face in the case that an inequality for the ...
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 ...
Boundary oscillations and nonlinear boundary conditions
(Elsevier B.V., 2006-07-15)
We study how oscillations in the boundary of a domain affect the behavior of solutions of elliptic equations with nonlinear boundary conditions of the type partial derivative u/partial derivative n + g(x, u) = 0. We show ...
Boundary oscillations and nonlinear boundary conditions
(Elsevier B.V., 2006-07-15)
We study how oscillations in the boundary of a domain affect the behavior of solutions of elliptic equations with nonlinear boundary conditions of the type partial derivative u/partial derivative n + g(x, u) = 0. We show ...
Newton's method and a mesh independence principle for certain semilinear boundary value problems
(Elsevier Science, 2016-01)
We exhibit an algorithm which computes an ϵ-approximation of the positive solutions of a family of boundary-value problems with Neumann boundary conditions. Such solutions arise as the stationary solutions of a family of ...
Delay nonlinear boundary conditions as limit of reactions concentrating in the boundary
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2012)
In this work, we are interested in the dynamic behavior of a parabolic problem with nonlinear boundary conditions and delay in the boundary. We construct a reaction-diffusion problem with delay in the interior, where the ...