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Showing 1 to 3 of 3 for “"principal eigenvalue"”.
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Similarity Solutions for the Two-Dimensional Diffusion–Advection Equation in Sharp-Corner Geometries
… the ansatz, the problem can be recast as an eigenvalue problem. Exploiting elliptic regularity and the strong maximum principle, we invoke the Krein-Rutman theorem to establish the existence and domain-size monotonicity of the principal eigenvalue. We then investigate how varying domain …
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On two problems related to the Laplace operator
… investigate minimization and maximization of the principal eigenvalue of the Laplacian under mixed boundary conditions in case the weight has indefinite sign and varies in the class of rearrangements of a fixed function g0 defined on a smooth and bounded domain Ω in Rn. We prove existence and …
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Data-Driven Characterization of Micro-structural Shape and Topology in Engineering Materials
… reduction techniques. Specifically, Hu moments, Principal Eigenvalue Moment (PEM), and Principal Component Analysis (PCA) are applied to a diverse dataset comprising experimental images of Titanium-Aluminum alloys and Inconel 718 superalloy, computationally designed meta-materials including unit …