2 citations · 7 across the 7 of their papers we have counts for
7 papers
Interface Conditions for Wave Propagation Through a Time-varying Metasurface
Vishnu Raveendran, Barbara Verfürth
We study wave propagation through a time-modulated thin heterogeneous layer. The layer is assumed to have a thickness of order $\es\ll 1$ and its material properties exhibit rapid…
Optimization-Based Identification of Effective Coefficients for Wave Equations in Spatio-Temporal Metamaterials
Christian Döding, Vishnu Raveendran, Barbara Verfürth
We study the identification of effective coefficients for wave equations in heterogeneous media. Such equations arise in the modeling of spatio-temporal metamaterials, where the un…
Numerical Exploration of Nonlinear Dispersion Effects via a Strongly Coupled Two-scale System
Surendra Nepal, Vishnu Raveendran, Michael Eden +2
The effective, fast transport of matter through porous media is often characterized by complex dispersion effects. To describe in mathematical terms such situations, instead of a s…
Strongly Coupled Two-scale System with Nonlinear Dispersion: Weak Solvability and Numerical Simulation
Vishnu Raveendran, Surendra Nepal, Rainey Lyons +2
We investigate a two-scale system featuring an upscaled parabolic dispersion-reaction equation intimately linked to a family of elliptic cell problems. The system is strongly coupl…
Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data
Vishnu Raveendran, Ida de Bonis, Emilio N. M. Cirillo +1
We study the periodic homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary condition posed in an unbounded perforated domain. The nonlinear…
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift
Vishnu Raveendran, Emilio N. M. Cirillo, Adrian Muntean
We study a reaction-diffusion-convection problem with nonlinear drift posed in a domain with periodically arranged obstacles. The non-linearity in the drift is linked to the hydrod…
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer
Vishnu Raveendran, Emilio N. M. Cirillo, Ida de Bonis +1
We study the question of periodic homogenization of a variably scaled reaction-diffusion problem with non-linear drift posed for a domain crossed by a flat composite thin layer. Th…