Results 1 to 10 of about 22,537 (166)
On a Singular Robin Problem with Convection Terms [PDF]
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
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Asymptotics of the solution to Robin problem
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
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The Robin problem on rectangles [PDF]
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
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On an inverse Robin spectral problem [PDF]
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
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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
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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
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PDE comparison principles for Robin problems [PDF]
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 $ ,
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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
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Management of Feeding Problems in Infants with Cleft Palate and Review on Pierre-Robin Syndrome
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
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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
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