55 citations · 619 across the 96 of their papers we have counts for
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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…
Model reduction of Brownian oscillators: quantification of errors and long-time behaviour
M. Colangeli, M. H. Duong, A. Muntean
A procedure for model reduction of stochastic ordinary differential equations with additive noise was recently introduced in [Colangeli-Duong-Muntean, Journal of Physics A: Mathema…
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system
Rainey Lyons, Emilio N. M. Cirillo, Adrian Muntean
We study a nonlinear coupled parabolic system with non-local drift terms modeling at the continuum level the inter-species interaction within a ternary mixture that allows the evap…
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…
Effective medium theory for second-gradient elasticity with chirality
Grigor Nika, Adrian Muntean
We derive effective, parsimonious models from a heterogeneous second-gradient nonlinear elastic material taking into account chiral scale-size effects. Our classification of the ef…