Detecting a Prey in a Spider Orb Web

DOI10.1137/19M1262322zbMath1428.35681arXiv1906.03610OpenAlexW2994649017WikidataQ115525572 ScholiaQ115525572MaRDI QIDQ5205881

Antonino Morassi, Alexandre Kawano

Publication date: 17 December 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03610

zbMATH Keywords

inverse problemsvibrationmembraneidentification of sourcesspider orb web model

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Inverse problems for PDEs (35R30) Membranes (74K15) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Determination of the prey impact region in a spider orb-web from in-plane vibration ⋮ Closed-form solutions to the static transverse deformation of a spider orb-web ⋮ Detecting a Prey in a Spider Orb-Web from In-Plane Vibration

Cites Work

• Interpolation in Bernstein and Paley-Wiener spaces
• Statistical and computational inverse problems.
• Uniqueness in the determination of vibration sources in rectangular Germain–Lagrange plates using displacement measurements over line segments with arbitrary small length
• Uniqueness and Nonuniqueness Results for a Certain Class of Almost Periodic Distributions
• Estimation of point sources and applications to inverse problems
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Inverse Sturm-Liouville problems with a singularity at zero
• Uniqueness in the determination of loads in multi-span beams and plates
• UNIQUENESS ALONG A LINE FOR AN INVERSE WAVE SOURCE PROBLEM
• Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method

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