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math-ph2008★ 1 cited
Homogenization with large spatial random potential
Guillaume Bal
We consider the homogenization of parabolic equations with large spatially-dependent potentials modeled as Gaussian random fields. We derive the homogenized equations in the limit…
math-ph2008
Stability for time-dependent inverse transport
Guillaume Bal, Alexandre Jollivet
This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from full knowledge of the albedo operator at the b…
math-ph2007
Self-averaging of kinetic models for waves in random media
Guillaume Bal, Olivier Pinaud
Kinetic equations are often appropriate to model the energy density of high frequency waves propagating in highly heterogeneous media. The limitations of the kinetic model are quan…