Results 11 to 20 of about 6,739 (179)
When is the first eigenfunction for the clamped plate equation of fixed sign?
Electronic Journal of Differential Equations, 2001 It is known that the first eigenfunction of the clamped plate equation, $Delta^2 varphi = lambda varphi$ in $Omega$ with $varphi=frac{partial}{partial n}varphi=0$ on $partialOmega$, is not necessarily of fixed sign.
Guido Sweers
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, 2021 International audienceIt is well known that eigenfunctions have to be continuous at each space point of the structure in which they are localized. This is not the only rule they have to fulfill.
Leonard Dobrzyński +7 more
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Entropy of Eigenfunctions [PDF]
, 2009 We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy of semiclassical measures, and improve this lower bound in the case of variable negative curvature.
Anantharaman, Nalini +2 more
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Concentration of symmetric eigenfunctions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2010 8 ...
Azagra, Daniel, Macia Lang, Fabricio
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Eigenfunction Data for Over-reflection
, 2022 This dataset contains the computation of eigenfunction in figure 8 and figure 9 in the paper "Over-reflection of acoustic waves by supersonic exponential boundary layer flows".
Görtz, Simon +2 more
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Eigenfunction expansions in thermoelasticity [PDF]
, 1986 We develop spectral theorems for a certain class of (non-) selfadjoint differential operators via eigenfunction expansions. To this end at first the equations of linear thermoelasticity are dealt with in the whole space for an isotropic, homogeneous ...
Racke, Reinhard
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An Assessment of High-Order-Mode Analysis and Shape Optimization of Expansion Chamber Mufflers
Archives of Acoustics, 2014 A substantial quantity of research on muffler design has been restricted to a low frequency range using the plane wave theory. Based on this theory, which is a one-dimensional wave, no higher order wave has been considered.
Min-Chie CHIU, Ying-Chun CHANG
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Axioms, 2022 This article discusses the author’s version of the technology for solving a one-dimensional boundary value problem for a one-dimensional advection–diffusion equation based on the method of separation of variables, as well as the theory of eigenvalues and
Temirkhan Aleroev, Victor Orlov
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Eigenfunction expansions for some nonselfadjoint operators and the transport equation [PDF]
, 1983 An eigenfunction expansion theorem is proved under certain assumptions about a nonselfadjoint operator A + V, where A is selfadjoint, not necessarily bounded below, and the eigenfunction expansion theorem for A is ...
Ramm, A.G
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Effective decoupling method for derivation of eigenfunctions for closed cylindrical shell
Mechanics and Advanced Technologies, 2023 By expansion into Fourier series along the circumferential coordinate, the problem for elastic thin-walled closed cylindrical shell is reduced to 8th order differential equation with respect to axial coordinate.
Hlib Yudin, Igor Orynyak
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