Alexandre Boritchev

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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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Showing 2020 · math.APShow all

2 papers · 2 filters

math.AP2020

Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation

Piotr Biler, Alexandre Boritchev, Grzegorz Karch +1

We consider the drift-diffusion equation $u_{t} - ε Δ u + \nabla \cdot (u \nabla K^{*} u) = 0$ in the whole space with global-in-time solutions bounded in all Sobolev spaces; for simplicity, we…

math.AP2020

Concentration phenomena in a diffusive aggregation model

Piotr Biler, Alexandre Boritchev, Grzegorz Karch +1

We consider the drift-diffusion equation $u_{t} - ε Δ u + \nabla \cdot (u \nabla K ⋆ u) = 0$ in the whole space with global-in-time bounded solutions. Mass concentration pheno…