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Two-phase eigenvalue problem on thin domains with Neumann boundary condition.

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Publication:1785673
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zbMath1463.35225arXiv1706.05027MaRDI QIDQ1785673

Toshiaki Yachimura

Publication date: 1 October 2018

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05027


zbMATH Keywords

asymptotic behaviorFourier expansioneigenvalue problemorthonormal basismean curvatureLaplace-Beltrami operatorthin domaintransmission condition


Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Variational methods for second-order elliptic equations (35J20)


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Reducing dimensionality to model 2D rotating and standing waves in a delayed nonlinear optical system with thin annulus aperture ⋮ Error estimate for classical solutions to the heat equation in a moving thin domain and its limit equation ⋮ Navier-Stokes equations in a curved thin domain. II: Global existence of a strong solution ⋮ Navier-Stokes equations in a curved thin domain. III: Thin-film limit ⋮ Quantum strips in higher dimensions ⋮ Asymptotic behavior for the principal eigenvalue of a reinforcement problem







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