International audienceThe dynamics of the multi-dimensional randomly forced Burgers equation is studied in the limit of vanishing viscosity. It is shown both theoretically and numerically that the shocks have a universal global structure which is determined by the topology of the configuration space. This structure is shown to be particularly rigid for the case of periodic boundary conditions
International audienceWe consider the generalised Burgers equation$$∂u/∂t + f (u) ∂u/∂x − \nu ∂^2u/∂...
We prove analytically and show numerically that the dynamics of the Fermi-Pasta-Ulam-Tsingou chain i...
The Burgers' model of compressible fluid dynamics in one dimension is extended to include the effect...
International audienceThe inviscid Burgers equation with random and spatially smooth forcing is cons...
The behaviour of the one-dimensional random-forced Burgers equation is investigated in the path inte...
Burgers turbulence subject to a force f(x, t) = j f j (x)(t t j ), where the t_j's are "ki...
We carry out a detailed study of dynamic multiscaling in the turbulent nonequilibrium, but statistic...
Burgers equation can be used as a simplified model for hydrodynamic turbulence. The purpose of this ...
We present theoretical and numerical results for the one-dimensional stochastically forced Burgers e...
We consider an unstable Burgers equation that exhibits spatio-temporal chaos. This spatio-temporal c...
This chapter summarises a selection of results on the inviscid limit of the stochastic Burgers equat...
We conjecture the exact shock statistics in the inviscid decaying Burgers equation in D>1 dimensions...
The decay of Burgers turbulence with compactly supported Gaussian "white noise" initial conditions i...
In order to celebrate the memory of my friend Giovanni, I could not imagine a better topic than one ...
We use the mapping between Burgers' equation and the problem of a directed polymer in a random ...
International audienceWe consider the generalised Burgers equation$$∂u/∂t + f (u) ∂u/∂x − \nu ∂^2u/∂...
We prove analytically and show numerically that the dynamics of the Fermi-Pasta-Ulam-Tsingou chain i...
The Burgers' model of compressible fluid dynamics in one dimension is extended to include the effect...
International audienceThe inviscid Burgers equation with random and spatially smooth forcing is cons...
The behaviour of the one-dimensional random-forced Burgers equation is investigated in the path inte...
Burgers turbulence subject to a force f(x, t) = j f j (x)(t t j ), where the t_j's are "ki...
We carry out a detailed study of dynamic multiscaling in the turbulent nonequilibrium, but statistic...
Burgers equation can be used as a simplified model for hydrodynamic turbulence. The purpose of this ...
We present theoretical and numerical results for the one-dimensional stochastically forced Burgers e...
We consider an unstable Burgers equation that exhibits spatio-temporal chaos. This spatio-temporal c...
This chapter summarises a selection of results on the inviscid limit of the stochastic Burgers equat...
We conjecture the exact shock statistics in the inviscid decaying Burgers equation in D>1 dimensions...
The decay of Burgers turbulence with compactly supported Gaussian "white noise" initial conditions i...
In order to celebrate the memory of my friend Giovanni, I could not imagine a better topic than one ...
We use the mapping between Burgers' equation and the problem of a directed polymer in a random ...
International audienceWe consider the generalised Burgers equation$$∂u/∂t + f (u) ∂u/∂x − \nu ∂^2u/∂...
We prove analytically and show numerically that the dynamics of the Fermi-Pasta-Ulam-Tsingou chain i...
The Burgers' model of compressible fluid dynamics in one dimension is extended to include the effect...
DOI
Add to ORKG