Alexandre Boritchev

activity

20112026

most citedTurbulence for the generalised Burgers equation

49 citations · 70 across the 11 of their papers we have counts for

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3 papers · 1 filter

math.AP2012

Decaying Turbulence in Generalised Burgers Equation

Alexandre Boritchev

We consider the generalised Burgers equation $\frac{\partial u}{\partial t} + f^{'} (u) \frac{\partial u}{\partial x} - ν \frac{\partial ^{2} u}{\partial x ^{2}} = 0, t \geq 0, x \in S^{1},$ …

math.DS2012★ 4 cited

On hyperbolicity of minimizers for 1D random Lagrangian systems

Alexandre Boritchev, Konstantin Khanin

We prove hyperbolicity of global minimizers for random Lagrangian systems in dimension 1. The proof considerably simplifies a related result in [2]. The conditions for hyperbolicit…

math-ph2012★ 1 cited

Sharp Estimates for Turbulence in White-Forced Generalised Burgers Equation

Alexandre Boritchev

We consider the non-homogeneous generalised Burgers equation \frac{\partial u}{\partial t} + f'(u)\frac{\partial u}{\partial x} - ν\frac{\partial^2 u}{\partial x^2} = η,\ t \geq 0,…