The last decades witnessed a renewal of interest in the Burgers equation. Much activities
focused on extensions of the original one-dimensional pressureless model introduced in the …

This article surveys the recent developments in computational methods for second order
fully nonlinear partial differential equations (PDEs), a relatively new subarea within …

At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and
John Mather launched a revolution in the venerable field of optimal transport founded by G …

The cosmic web is the largest scale manifestation of the anisotropic gravitational collapse of
matter. It represents the transitional stage between linear and non-linear structures and …

The baryon acoustic oscillations are a promising route to the precision measure of the
cosmological distance scale and hence the measurement of the time evolution of dark …

We present a fully probabilistic, physical model of the non-linearly evolved density field, as
probed by realistic galaxy surveys. Our model is valid in the linear and mildly non-linear …

Accurate analyses of present and next-generation cosmological galaxy surveys require new
ways to handle effects of non-linear gravitational structure formation processes in data. To …

The glymphatic system (GS) hypothesis states that advective driven cerebrospinal fluid
(CSF) influx from the perivascular spaces into the interstitial fluid space rapidly transport …

Inaccuracies in the initial conditions for cosmological N-body simulations could easily be the
largest source of systematic error in predicting the non-linear large-scale structure. From the …

Thermodynamics of small systems has become an important field of statistical physics. Such
systems are driven out of equilibrium by a control, and the question is naturally posed how …