Results 301 to 310 of about 109,310 (329)

The Laplacian with Robin Boundary Conditions on Arbitrary Domains

Potential Analysis, 2003
The authors consider the Laplace operator \(\Delta\) on an open set \(\Omega\) in \(\mathbb{R}^n\) with the Robin boundary condition. They deal with the case of an arbitrary Borel measure \(\mu\) on the boundary \(\partial \Omega\), and show that it is always possible to define a realization \(\Delta_\mu\) of the Laplace operator on \(L^2(\Omega ...
Arendt, Wolfgang, Warma, Mahamadi
openaire   +2 more sources

Second Domain Variation for Problems with Robin Boundary Conditions

Journal of Optimization Theory and Applications, 2015
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Catherine Bandle, Alfred Wagner
openaire   +2 more sources

An implicit immersed boundary method for Robin boundary condition

International Journal of Mechanical Sciences
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
openaire   +2 more sources

Casimir forces for moving boundaries with Robin conditions

Journal of Physics A: Mathematical and General, 2006
Summary: We consider a massless scalar field in \(1+1\) dimensions that satisfies a Robin boundary condition at a non-relativistic moving boundary. Using the perturbative approach introduced by Ford and Vilenkin, we compute the total force on the moving boundary. In contrast to what happens for the Dirichlet and Neumann boundary conditions, in addition
Mintz, B., Farina, C., Neto, P. A. Maia, Rodrigues, R. B.   +3 more
openaire   +2 more sources

Scalar Goos-Hänchen shift for Robin boundary conditions

SPIE Proceedings, 2011
In optics, the Goos-Hanchen shift is a transverse displacement of a reflected light beam along a material interface. It is usually associated with the presence of evanescent waves beyond the interface. We describe an analogous displacement effect for scalar waves at a boundary satisfying Robin, or mixed, boundary conditions, although the wave does ...
Dennis, Mark R., Goette, Joerg B.
openaire   +2 more sources

On a quenching problem with the robin boundary condition

Nonlinear Analysis: Theory, Methods & Applications, 1991
The third initial-boundary value problem for the semilinear heat equation is considered \[ u_ t-\Delta u=f(u),\quad x\in\Omega,\quad t\in(0,T), \] \[ {\partial u/\partial\nu}+a(x,t)u=0,\quad x\in\partial\Omega,\quad t\in(0,T);\quad u(x,0)=u_ 0(x),\quad x\in\Omega. \] Here \(\Omega\) is a bounded smooth domain in \(\mathbb{R}^ n\) \((n\geq 1)\), \(\nu\)
openaire   +2 more sources

Neumann and Robin boundary conditions

2022
Wolfgang Arendt, Karsten Urban
openaire   +1 more source

Weyl, Dirac and high-fold chiral fermions in topological quantum matter

Nature Reviews Materials, 2021
M Zahid Hasan, Guoqing Chang, Ilya Belopolski   +2 more
exaly  

Overset Methods and Robin Boundary Conditions

AIAA Aviation 2019 Forum, 2019
Donald A. French, John A. Benek, Christopher R. Schrock, Marshall C. Galbraith   +3 more
openaire   +1 more source

A planetary boundary for green water

Nature Reviews Earth & Environment, 2022
Lan Wang-Erlandsson, Arne Tobian, Ruud J Van Der Ent   +2 more
exaly