Results 31 to 40 of about 3,885,751 (299)

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, Mascarenhas, Luísa, Trabucho, Luís   +2 more
openaire   +2 more sources

Straight Quantum Waveguide with Robin Boundary Conditions [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling. Assuming that the coupling function tends to a constant at infinity, we localize the essential spectrum and derive a sufficient condition which guarantees the existence of bound states ...
openaire   +4 more sources

On the spectrum of Robin boundary p-Laplacian problem

Moroccan Journal of Pure and Applied Analysis, 2019
We study the following nonlinear eigenvalue problem with nonlinear Robin boundary ...
Khalil Abdelouahed El
doaj   +1 more source

ANTONOV WETTING LINE PHASE TRANSITION OF TWO-COMPONENT BOSE-EINSTEIN CONDENSATES UNDER CONSTRAINT OF ROBIN BOUNDARY CONDITION

Tạp chí Khoa học Đại học Đà Lạt, 2018
Using double Parabola approximation, in this paper, after finding the wave function for the ground state, we found an analytical relation for wetting phase transition and Antonov line of two-component Bose-Einstein condensates.
Nguyễn Văn Thụ, Hoàng Văn Quyết
doaj   +1 more source

Impact of space-time curvature coupling on the vacuum energy induced by a magnetic topological defect in flat space-time of arbitrary dimension

Nuclear Physics B
We have investigated vacuum polarization of a quantized charged massive scalar field in the presence of a magnetic topological defect, modeled as an impenetrable tube of finite thickness carrying magnetic flux. At the tube’s surface, we imposed a general
V.M. Gorkavenko, O.V. Barabash, I.V. Ivanchenko, P.O. Nakaznyi, M.S. Tsarenkova, N.S. Yakovenko, A.O. Zaporozhchenko   +6 more
doaj   +1 more source

Walkin’ Robin: Walk on Stars with Robin Boundary Conditions

ACM Transactions on Graphics
Numerous scientific and engineering applications require solutions to boundary value problems (BVPs) involving elliptic partial differential equations, such as the Laplace or Poisson equations, on geometrically intricate domains. We develop a Monte Carlo method for solving such BVPs with arbitrary first-order linear boundary conditions ...
Bailey Miller, Rohan Sawhney, Keenan Crane, Ioannis Gkioulekas   +3 more
openaire   +1 more source

Diffusion with nonlocal Robin boundary conditions [PDF]

Journal of the Mathematical Society of Japan, 2018
We investigate a second order elliptic differential operator $A_{β, μ}$ on a bounded, open set $Ω\subset\mathbb{R}^{d}$ with Lipschitz boundary subject to a nonlocal boundary condition of Robin type. More precisely we have $0\leq β\in L^{\infty}(\partialΩ)$ and $μ\colon \partial Ω\to \mathscr{M}(\overlineΩ)$, and boundary conditions of the form ...
ARENDT, Wolfgang, KUNKEL, Stefan, KUNZE, Markus   +2 more
openaire   +4 more sources

Extremizing temperature functions of rods with Robin boundary conditions

Annales Fennici Mathematici, 2022
We compare the solutions of two one-dimensional Poisson problems on an interval with Robin boundary conditions, one with given data, and one where the data has been symmetrized. When the Robin parameter is positive and the symmetrization is symmetric decreasing rearrangement, we prove that the solution to the symmetrized problem has larger increasing ...
Langford, Jeffrey J., McDonald, Patrick
openaire   +4 more sources

On the Serrin’s problem with Robin boundary conditions

Nonlinear Analysis
Let $Ω\subset \mathbb{R}^N$, $N\ge 2$, be an open, connected, bounded set with $C^2$ boundary. In this paper we consider the torsion problem with Robin boundary conditions and we study the symmetry of the solutions when suitable extra conditions are imposed on the boundary of $Ω$.
Nunzia Gavitone, Riccardo Molinarolo
openaire   +4 more sources

A novel quinazolinone insulin receptor inhibitor and its synergy with an EGFR inhibitor in glucose‐driven glioblastoma

Molecular Oncology, EarlyView.
The novel styrylquinazolinone‐based molecule W1B effectively suppresses glioblastoma by inhibiting IGF1R and EGFR. In high‐glucose microenvironments driving tumor resistance, W1B acts synergistically with the EGFR inhibitor dacomitinib. This combination safely blocks compensatory survival signaling in zebrafish xenograft models. Showcasing promising in
Patryk Rurka, Wioleta Cieślik, Wojciech Płaziński, Katarzyna Stępnik, Anna Boguszewska‐Czubara, Elżbieta Kot, Robert Musioł, Mateusz Jasica, Anna Mrozek‐Wilczkiewicz, Katarzyna Malarz   +9 more
wiley   +1 more source