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[CT140]

CT140 (1/1) : Incompressible inviscid fluids (76B) / Basic methods for problems in optics and electromagnetic theory (78M) / Optics, electromagnetic theory (78-) / Elastic materials (74B)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @E820
Type : Contributed Talk
Abstract : The present study investigates the wave impact on a sea wall in the presence of an elastic plate and a finite-width porous structure within the linearized water wave theory framework. By employing eigenfunction expansion, a system of an algebraic equation is obtained and solved. The force, reflection and dissipation coefficients are plotted through graphs to investigate the effect of different system parameters.
Classification : 76B15
Format : Talk at Waseda University
Author(s) :
- GAGAN SAHOO (IIT ROPAR)
- SUBASH CHANDRA MARTHA (IIT Ropar)
- SOFIA SINGLA (IIIT UNA, UNA)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @E820
Type : Contributed Talk
Abstract : The scattering of water waves by two non-uniform horizontal porous plates in the presence of a pair of trenches is modeled using Darcy’s law for flow past a porous plate. The eigenfunction expansions in conjunction with the matching conditions gives rise to an overdetermined system of linear equations, which is solved to obtain the numerical values of physical quantities such as reflection, transmission, dissipation coefficients and force. Different graphs are plotted to visualize the effect of different system parameters. This study highlights two horizontal porous plates over uneven bottom topography will play a vital role in constructing an effective breakwater reducing high wave impact.
Classification : 76B15
Format : Talk at Waseda University
Author(s) :
- Sunita Choudhary (Indian Institute Technology, Ropar)
- S. C. Martha (Indian Institute Technology, Ropar)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @E820
Type : Contributed Talk
Abstract : A natural way to compute photonic dispersion relation is to restrict the parameters to the edges of the irreducible Brillouin zone (IBZ), which has been formalized as a dangerous simplification. We propose a novel method based on polynomial interpolation to approximate band functions in the whole IBZ. The importance of IBZ interiors, the need to reduce computational cost and our analysis of the regularity of band functions illustrate the necessity and feasibility of our method.
Classification : 78M22, 26B30, 32A10, 65M60, 41A10
Format : Talk at Waseda University
Author(s) :
- Yueqi Wang (University of Hong Kong)
- Guanglian Li (University of Hong Kong)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @E820
Type : Contributed Talk
Abstract : Sensing skins allow for monitoring of a surface by electrically imaging a conductive layer on an object. One example is fracture detection of concrete elements by imaging a conductive paint layer. In this talk, we present a way to estimate pressure distribution on a surface by using sensing skin -based techniques.
Classification : 78-05, 78-10, 65Nxx, Electrical Impedance Tomography
Format : Talk at Waseda University
Author(s) :
- Petri Kuusela (University of Eastern Finland)
- Moe Pour-Ghaz (North Carolina State University)
- Aku Seppänen (University of Eastern Finland)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @E820
Type : Contributed Talk
Abstract : This research concerns the Weighted Energy-Dissipation approach for nonlinear elasticity. We introduce a family of $\epsilon-$dependent functionals defined over entire trajectories and we prove that they admit minimisers which are solutions of the corresponding Euler-Lagrange problem. Considering the limit $\epsilon \rightarrow 0$ we prove that those minimisers converge to the solutions of a specific nonlinear elasticity equation. Eventually, linearized elastic energies are proven to be the $\Gamma$-limits of the rescaled nonlinear energies.
Classification : 74B20, 47J30, 47J35, 58E30, 74B15
Format : Online Talk on Zoom
Author(s) :
- Riccardo Voso (University of Vienna)