Andre Nachbin
IMPA/Brazil
Professor, Mathematics
Brazil
My Publications
Rotational waves generated by current-topography interaction
Studies in Applied Mathematics
January 2019
A three-dimensional Dirichlet-to-Neumann operator for water waves over topography
Journal of Fluid Mechanics
April 2018
Tunneling with a hydrodynamic pilot-wave model
Physical Review Fluids
March 2017
The effect of large surface waves riding over depth-varying currents.
Journal of Fluid Mechanics
January 2017
Faraday pilot-wave dynamics: modelling and computation
Journal of Fluid Mechanics
July 2015
Waves in channels that branch out into reaches.
Journal of Fluid Mechanics
July 2015
A boundary integral formulation for particle trajectories in Stokes waves
Discrete and Continuous Dynamical Systems
January 2014
Fully discrete stability and dispersion analysis for a linear dispersive internal wave ...
Computational and Applied Mathematics
July 2013
Wave Packet Defocusing Due to a Highly Disordered Bathymetry
Studies in Applied Mathematics
February 2013
Water waves over a variable bottom: a non-local formulation and conformal mappings
Journal of Fluid Mechanics
February 2012
This work was inspired by tsunamis in fjords such as reported in Norway.
Journal of Nonlinear Mathematical Physics
January 2012
Discrete and continuous random water wave dynamics
Discrete and Continuous Dynamical Systems
June 2010
A Higher-Order Internal Wave Model Accounting for Large Bathymetric Variations
Studies in Applied Mathematics
April 2009
Optimal Boussinesq model for shallow-water waves interacting with a microstructure
Physical Review E
October 2007
Nonlinear waves over highly variable topography
The European Physical Journal Special Topics
August 2007
Complete Time-Reversed Refocusing in Reflection with an Acoustic Lagrangian Model
Communications in Mathematical Sciences
January 2007
Effective Behavior of Solitary Waves over Random Topography
Multiscale Modeling and Simulation
January 2007
Numerical simulation of injectivity loss in stratified reservoirs
Communications in Numerical Methods in Engineering
September 2006
Eddy viscosity for gravity waves propagating over turbulent surfaces
Physics of Fluids
May 2006
Time-reversal refocusing for point source in randomly layered media
Wave Motion
September 2005
Stiff Microscale Forcing and Solitary Wave Refocusing
Multiscale Modeling and Simulation
January 2005
Nonlinear Evolution of Surface Gravity Waves over Highly Variable Depth
Physical Review Letters
November 2004
Eddy Viscosity for Time Reversing Waves in a Dissipative Environment
Physical Review Letters
October 2004
Robustness of time reversal for waves in time-dependent random media
Stochastic Processes and their Applications
October 2004
Shock structure due to stochastic forcing and the time reversal of nonlinear waves
Physica D Nonlinear Phenomena
August 2004
Time Reversing Solitary Waves
Physical Review Letters
March 2004
Dispersive Wave Attenuation Due to Orographic Forcing
SIAM Journal on Applied Mathematics
January 2004
Asymptotic nonlinear wave modeling through the Dirichlet-to-Neumann operator
Methods and Applications of Analysis
January 2004
Time Reversal for Dispersive Waves in Random Media
SIAM Journal on Applied Mathematics
January 2004
A Terrain-Following Boussinesq System
SIAM Journal on Applied Mathematics
January 2003
Apparent diffusion due to topographic microstructure in shallow waters
Physics of Fluids
January 2003
Time-Reversed Refocusing of Surface Water Waves
Multiscale Modeling and Simulation
January 2003
Stable Methods for Vortex Sheet Motion in the Presence of Surface Tension
SIAM Journal on Scientific Computing
September 1998
Stability analysis of the generalized Rosenhead point vortex approximation
Physics of Fluids
April 1996
The localization length of randomly scattered water waves
Journal of Fluid Mechanics
August 1995
Water waves in shallow channels of rapidly varying depth
Journal of Fluid Mechanics
August 1992
Boundary element method for long-time water wave propagation over rapidly varying botto...
International Journal for Numerical Methods in Fluids
June 1992
Finite Element Analysis of Combined Diffraction — Refraction
January 1984
Conformal Mapping and Complex Topographies
Imaging of a Dissipative Layer in a Random Medium Using a Time Reversal Method