Asymptotic analysis of the high frequencies for the Laplace operator in a thin T-like shaped structure (original) (raw)
Related papers
Boundary Layers in the Homogenization of a Spectral Problem in Fluid--Solid Structures
SIAM Journal on Mathematical Analysis, 1998
A spectral problem arising in fluid-solid structures
Computer Methods in Applied Mechanics and Engineering, 1988
Youcef Amirat, Gregory A Chechkin
Comptes Rendus Mécanique, 2008
On the Exponential Decay of Laplacian Eigenfunctions in Planar Domains with Branches
Contemporary Mathematics, 2014
Journal de Mathématiques Pures et Appliquées, 2006
On asymptotic analysis of spectral problems in elasticity
Latin American Journal of Solids and Structures
Differential Equations, 2020
Asymptotic analysis of a spectral problem in a periodic thick junction of type 3:2:1
Mathematical Methods in the Applied Sciences, 2000
Youcef Amirat, Gregory A Chechkin
St. Petersburg Mathematical Journal, 2011
The European Physical Journal B, 2012
Singularly Perturbed Spectral Problems in a Thin Cylinder with Fourier Conditions on its Bases
Zurnal matematiceskoj fiziki, analiza, geometrii
Some recent results on the mathematical modeling of thin structures: the case of−∆
lamc.ing.unibo.it
Journal de Mathématiques Pures et Appliquées, 2006
SPECTRAL PROBLEMS IN ELASTICITY. SINGULAR BOUNDARY PERTURBATIONS
Asymptotics of eigenfrequencies in the dynamic response of elongated multi-structures
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
On the spectral asymptotics of waves in periodic media with Dirichlet or Neumann exclusions
The Quarterly Journal of Mechanics and Applied Mathematics
The low frequency limit for time-harmonic acoustic waves
Mathematical Methods in the Applied Sciences, 1986
Spectral properties of polyharmonic operators with limit-periodic potential in dimension two
Journal d'Analyse Mathématique, 2007
Ukrainian Mathematical Journal, 2006
Spectral boundary homogenization in domains with oscillating boundaries
R. Gadylshin, Youcef Amirat, Gregory A Chechkin
Nonlinear Analysis: Real World Applications, 2010
Trapped modes in thin and infinite ladder like domains. Part 1: Existence results
Asymptotic Analysis, 2017
High-frequency spectral analysis of thin periodic acoustic strips: Theory and numerics
2010
2011
Analysis and Applications, 2020
Izvestiya: Mathematics
Youcef Amirat, Gregory A Chechkin
Mathematical Methods in the Applied Sciences, 2009
2008
Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods
2009
Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 2021
A numerical study of a spectral problem in solid-fluid type structures
Numerical Methods for Partial Differential Equations, 1995
Youcef Amirat, Gregory A Chechkin
Computational Mathematics and Mathematical Physics, 2006
Asymptotic analysis of the eigenvalues of a Laplacian problem in a thin multidomain
Indiana University Mathematics Journal, 2007
Journal of Mathematical Study, 2021
On the sharp effect of attaching a thin handle on the spectral rate of convergence
Journal of Functional Analysis, 2014