We consider an optimization problem for the principal eigenvalue of the Laplacian in a bounded three-dimensional domain with a reflecting boundary that is ...
The method of matched asymptotic expansions is used to calculate a two-term asymptotic expansion for the principal eigenvalue λ(ε) of the Laplacian in a ...
Oct 22, 2024 · The method of matched asymptotic expansions is used to calculate a two-term asymptotic expansion for the principal eigenvalue (") of the ...
Apr 1, 2011 · In the limit of small trap radii @e->0, this principal eigenvalue is inversely proportional to the average mean first passage time (MFPT), ...
May 1, 2021 · We derive and numerically implement various asymptotic approximations for the lowest or principal eigenvalue of the Laplacian with a periodic ...
Missing: interior | Show results with:interior
Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps. AF Cheviakov, MJ Ward. Mathematical and Computer Modelling 53 (7-8) ...
Jun 4, 2021 · An explicit three-term approximation for this principal eigenvalue is derived using strong localised perturbation theory, with the coefficients ...
Missing: interior | Show results with:interior
We investigate how to place an obstacle B within a domain Ω in Euclidean space so as to maximize or minimize the principal Dirichlet eigenvalue for the ...
PDF | An optimization problem for the fundamental eigenvalue $\lam_0$ of the Laplacian in a planar simply-connected domain that contains $N$ small.
An optimization problem for the fundamental eigenvalue λ0 of the Laplacian in a planar simply-connected domain that contains N small identically-shaped ...
Missing: sphere | Show results with:sphere