Results 11 to 20 of about 3,885,751 (299)
Free boundary cluster with Robin condition on the transmission interface [PDF]
Calculus of Variations and Partial Differential Equations, 2023 We formulate and study a variational two-phase free boundary problem with Robin condition on the interface between the two phases, and we prove existence and regularity of solutions in dimension ...
Lo Bianco, Serena Guarino +2 more
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An implicit immersed boundary method for Robin boundary condition
International Journal of Mechanical Sciences, 2023 In this work, a novel boundary condition-enforced immersed boundary method (IBM) for simulating complex thermal–fluid–structure interaction (TFSI) problems with Robin boundary conditions is proposed. In this work, two auxiliary layers of Lagrangian points are introduced and placed within the inner and outer parts of the immersed object to enable the ...
Buchen Wu, Chang Shu, Minping Wan
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Concentrating solutions of the Liouville equation with Robin boundary condition [PDF]
Journal of Differential Equations, 2012 Let \(\varepsilon >0\) small enough and \(\lambda>0\) large. Assume that \(\Omega\subset {\mathbb R}^2\) is a bounded domain with smooth boundary. The authors construct solutions to the Liouville equation \[ \Delta u+\varepsilon^2e^u=0\qquad \text{in}\;\Omega\,, \] under the Robin boundary condition \[ \frac{\partial u}{\partial\nu}+\lambda u=0\qquad ...
Dávila, Juan, Topp Paredes, Erwin
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Resonant (p,q)-equations with Robin boundary condition
Electronic Journal of Differential Equations, 2018 We consider a nonlinear nonhomogeneous Robin problem that has the sum of a p-Laplacian and a q-Laplacian (a (p,q)-equation). The reaction term is a Caratheodory function which is resonant at $\pm\infty$ with respect to any nonprincipal variational ...
Michael E. Filippakis +1 more
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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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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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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
Mintz, B. +3 more
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Penalization of Robin boundary conditions [PDF]
Applied Numerical Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bensiali, Bouchra +2 more
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On the p-Laplacian with Robin boundary conditions and boundary trace theorems [PDF]
Calculus of Variations and Partial Differential Equations, 2017 Let $Ω\subset\mathbb{R}^ν$, $ν\ge 2$, be a $C^{1,1}$ domain whose boundary $\partialΩ$ is either compact or behaves suitably at infinity. For $p\in(1,\infty)$ and $α>0$, define \[ Λ(Ω,p,α):=\inf_{\substack{u\in W^{1,p}(Ω)\\ u\not\equiv 0}}\dfrac{\displaystyle \int_Ω|\nabla u|^p \mathrm{d} x - α\displaystyle\int_{\partialΩ} |u|^p\mathrm{d}σ ...
KOVARIK, HYNEK, Pankrashkin, Konstantin
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Logarithmic minimal models with Robin boundary conditions [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2016 We consider general logarithmic minimal models ${\cal LM}(p,p')$, with $p,p'$ coprime, on a strip of $N$ columns with the $(r,s)$ Robin boundary conditions introduced by Pearce, Rasmussen and Tipunin. The associated conformal boundary conditions are labelled by the Kac labels $r\in{\Bbb Z}$ and $s\in{\Bbb N}$.
Bourgine, Jean-Emile +2 more
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