Results 1 to 10 of about 68 (68)
The Bilaplacian with Robin Boundary Conditions [PDF]
SIAM Journal on Mathematical Analysis, 2022 We introduce Robin boundary conditions for biharmonic operators, which are a model for elastically supported plates and are closely related to the study of spaces of traces of Sobolev functions. We study the dependence of the operator, its eigenvalues, and eigenfunctions on the Robin parameters. We show in particular that when the parameters go to plus
Davide Buoso, James B. Kennedy
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The Obata equation with Robin boundary condition [PDF]
Revista Matemática Iberoamericana, 2020 We study the Obata equation with Robin boundary condition \partial f/\partial \nu + af = 0 on manifolds with boundary, where a is a non-zero constant.
Fang Wang, Mijia Lai, Xuezhang Chen
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Penalization of Robin boundary conditions [PDF]
Applied Numerical Mathematics, 2015 This paper is devoted to the mathematical analysis of a method based on fictitious domain approach. Boundary conditions of Robin type (also known as Fourier boundary conditions) are enforced using a penalization method. A complete description of the method and a full analysis are provided for univariate elliptic and parabolic problems using finite ...
Bensiali, Bouchra +2 more
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No-Boundary Proposal as a Path Integral with Robin Boundary Conditions [PDF]
Physical Review Letters, 2019 Realising the no-boundary proposal of Hartle and Hawking as a consistent gravitational path integral has been a long-standing puzzle. In particular, it was demonstrated by Feldbrugge et al. that the sum over all universes starting from zero size results in an unstable saddle point geometry.
Di Tucci, Alice, Lehners, Jean-Luc
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Diffusion with nonlocal Robin boundary conditions [PDF]
Journal of the Mathematical Society of Japan, 2018 Revision based on the comments of the referee; final ...
ARENDT, Wolfgang +2 more
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Thin waveguides with Robin boundary conditions [PDF]
Journal of Mathematical Physics, 2012 We consider the Laplace operator in a thin three-dimensional tube with a Robin type condition on its boundary and study, asymptotically, the spectrum of such operator as the diameter of the tube's cross section becomes infinitesimal. In contrast with the Dirichlet condition case [G. Bouchitté, M. L. Mascarenhas, and L.
Bouchitté, Guy +2 more
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Temperature on rods with Robin boundary conditions
Journal of Mathematical Analysis and Applications, 2023 We consider solutions $u_f$ to the one-dimensional Robin problem with the heat source $f\in L^1[-π,π]$ and Robin parameter $α>0$.
Betsakos, Dimitrios +1 more
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A two-phase problem with Robin conditions on the free boundary [PDF]
Journal de l’École polytechnique — Mathématiques, 2020 We study for the first time a two-phase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous across the free boundary and we prove an existence and a regularity result for minimizers of the associated variational problem.
Guarino Lo Bianco, Serena +3 more
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Particle creation by a moving boundary with a Robin boundary condition [PDF]
Journal of Physics A: Mathematical and General, 2006 We consider a massless scalar field in 1+1 dimensions satisfying a Robin boundary condition (BC) at a non-relativistic moving boundary. We derive a Bogoliubov transformation between input and output bosonic field operators, which allows us to calculate the spectral distribution of created particles. The cases of Dirichlet and Neumann BC may be obtained
R.B. Rodrigues +3 more
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Application of a Robin boundary condition to surface waves
Frontiers in Marine Science, 2023 Surface effects on deep-water gravity waves are investigated theoretically by the application of a Robin boundary condition with a complex Robin parameter, R=Rr+iRi. The Robin condition combines the shear stress and the horizontal velocity at the ocean surface. We show that this condition describes wave damping related to surface phenomena like elastic
Kai Håkon Christensen +2 more
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