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On a Singular Robin Problem with Convection Terms [PDF]

open access: yesAdvanced Nonlinear Studies, 2020
In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection term plus a singular one is established.
Guarnotta Umberto   +2 more
doaj   +5 more sources

Asymptotics of the solution to Robin problem

open access: yesJournal of Mathematical Analysis and Applications, 2009
The authors consider the following problem: \[ Au:=\nabla^2u=f \text{ on }\mathbb{D}',\;u(\infty)=0\quad\frac{\partial u}{\partial\vec N}-\zeta u=0\text{ on }\Gamma,\tag{1} \] where \(\mathbb{D}\subset\mathbb{R}^3\) is a bounded domain with \(C^\infty\)-boundary \(\Gamma\); \(\mathbb{D}'=\mathbb{R}^3 \setminus\mathbb{D}\), \(\vec N\) is an outer unit ...
A G Ramm
exaly   +3 more sources

The Robin problem on rectangles [PDF]

open access: yesJournal of Mathematical Physics, 2021
We study the statistics and the arithmetic properties of the Robin spectrum of a rectangle. A number of results are obtained for the multiplicities in the spectrum depending on the Diophantine nature of the aspect ratio. In particular, it is shown that for the square, unlike the case of Neumann eigenvalues where there are unbounded multiplicities of ...
Zeév Rudnick, Igor Wigman
openaire   +3 more sources

On an inverse Robin spectral problem [PDF]

open access: yesInverse Problems, 2020
Abstract We consider the problem of the recovery of a Robin coefficient on a part γ ⊂ ∂Ω of the boundary of a bounded domain Ω from the principal eigenvalue and the boundary values of the normal derivative of the principal eigenfunction of the Laplace operator with Dirichlet
Santacesaria, Matteo   +1 more
openaire   +4 more sources

Round robin test on angle of repose: DEM simulation results collected from 16 groups around the world

open access: yesSoils and Foundations, 2023
The round robin test (the simultaneous analysis of the same problem) is a method to investigate the variance and sensitivity of results provided by different analysts for a given problem and the reliability of the particular software used by each group ...
Hidetaka Saomoto   +26 more
doaj   +1 more source

On the Choice of Interface Parameters in Robin–Robin Loosely Coupled Schemes for Fluid–Structure Interaction

open access: yesFluids, 2021
We consider two loosely coupled schemes for the solution of the fluid–structure interaction problem in the presence of large added mass effect. In particular, we introduce the Robin–Robin and Robin–Neumann explicit schemes where suitable interface ...
Giacomo Gigante, Christian Vergara
doaj   +1 more source

PDE comparison principles for Robin problems [PDF]

open access: yesCanadian Journal of Mathematics, 2021
AbstractWe compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one with given data, and one where the data have been cap symmetrized. When the Robin parameters are nonnegative, we show that the solution to the symmetrized problem has larger convex means. Sending one of the Robin parameters to $+\infty $ ,
openaire   +4 more sources

Multiple Terms Identification of Time Fractional Diffusion Equation with Symmetric Potential from Nonlocal Observation

open access: yesFractal and Fractional, 2023
This paper considers a simultaneous identification problem of a time-fractional diffusion equation with a symmetric potential, which aims to identify the fractional order, the potential function, and the Robin coefficient from a nonlocal observation ...
Zewen Wang   +3 more
doaj   +1 more source

Management of Feeding Problems in Infants with Cleft Palate and Review on Pierre-Robin Syndrome

open access: yesJournal of Multidisciplinary Dental Research, 2022
Pierre Robin syndrome is a congenital disorder with triad of features micrognathia, glossoptosis which result in airway obstruction and feeding difficulties and cleft palate.
Kumari Deepika   +3 more
doaj   +1 more source

Computing Robin Problem on Unbounded Simply Connected Domain via an Integral Equation with the Generalized Neumann Kernel

open access: yesKurdistan Journal of Applied Research, 2017
A Robin problem is a mixed problem with a linear combination of Dirichlet and Neumann D-N conditions. The aim of this paper are presents a new boundary integral equation BIE method for the solution of unbounded Robin boundary value problem BVP in the ...
Shwan H. H. Al-Shatri   +2 more
doaj   +1 more source

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