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Exponential convergence to the stationary measure and hyperbolicity of the minimisers for random Lagrangian systems

 Alexandre Boritchev
Equadiff 2017, Bratislava, Jul 2017, Bratislava, Slovakia
Communication dans un congrès hal-02069971v1

Exponential convergence to the stationary measure for a class of 1D Lagrangian systems with random forcing

 Alexandre Boritchev
Stochastics and Partial Differential Equations: Analysis and Computations, 2018, 6 (1), pp.109-123. ⟨10.1007/s40072-017-0104-7⟩
Article dans une revue hal-02069965v1
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Multidimensional Potential Burgers Turbulence

 Alexandre Boritchev
Communications in Mathematical Physics, 2016, 342 (1), pp.441 - 489. ⟨10.1007/s00220-015-2521-7⟩
Article dans une revue hal-01468550v1
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Sharp well-posedness and blowup results for parabolic systems of the Keller-Segel type

 Piotr Biler , Alexandre Boritchev , Lorenzo Brandolese
Methods and Applications of Analysis, 2023, 30 (2), pp.53-76. ⟨10.4310/MAA.2023.v30.n2.a1⟩
Article dans une revue hal-03699868v1

Sharp Estimates for Turbulence in White-Forced Generalised Burgers Equation

 Alexandre Boritchev
2013
Pré-publication, Document de travail hal-00824732v1
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Large global solutions of the parabolic-parabolic Keller-Segel system in higher dimensions

 Piotr Biler , Alexandre Boritchev , Lorenzo Brandolese
Journal of Differential Equations, 2023, 344, pp.891-914. ⟨10.1016/j.jde.2022.11.018⟩
Article dans une revue hal-03609520v1

Intermittency of Riemann’s non-differentiable function through the fourth-order flatness

 Alexandre Boritchev , Daniel Eceizabarrena , Victor Vilaca Da Rocha
Journal of Mathematical Physics, 2021, 62 (9), pp.093101. ⟨10.1063/5.0011569⟩
Article dans une revue hal-04134248v1

Decaying turbulence for the fractional subcritical Burgers equation

 Alexandre Boritchev
Discrete & Continuous Dynamical Systems - A, 2018, 38 (5), pp.2229-2249. ⟨10.3934/dcds.2018092⟩
Article dans une revue hal-02069968v1

Decaying Turbulence in Generalised Burgers Equation

 Alexandre Boritchev
2013
Pré-publication, Document de travail hal-00824730v1

Note on Decaying Turbulence in a Generalised Burgers Equation

 Alexandre Boritchev
2012
Pré-publication, Document de travail hal-00824736v1
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Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation

 Piotr Biler , Alexandre Boritchev , Grzegorz Karch , Philippe Laurençot
Journal of Dynamics and Differential Equations, 2022, 34, pp.3131--3141. ⟨10.1007/s10884-021-09998-w⟩
Article dans une revue hal-02948312v1
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Sharp Estimates for Turbulence in White-Forced Generalised Burgers Equation

 Alexandre Boritchev
Geometric And Functional Analysis, 2013, 23, pp.1730 - 1771. ⟨10.1007/s00039-013-0245-4⟩
Article dans une revue hal-01092948v1
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Decaying Turbulence in the Generalised Burgers Equation

 Alexandre Boritchev
Archive for Rational Mechanics and Analysis, 2014, 214, pp.331 - 357. ⟨10.1007/s00205-014-0766-5⟩
Article dans une revue hal-01092949v1
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Concentration phenomena in a diffusive aggregation model

 Piotr Biler , Alexandre Boritchev , Grzegorz Karch , Philippe Laurençot
Journal of Differential Equations, 2021, 271, pp.1092--1108. ⟨10.1016/j.jde.2020.09.035⟩
Article dans une revue hal-02438459v1
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Equation de Burgers g en eralis ée a force al éatoire et a viscosit é petite

 Alexandre Boritchev
Equations aux dérivées partielles [math.AP]. Ecole Polytechnique X, 2012. Français. ⟨NNT : ⟩
Thèse pastel-00739791v1
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Riemann's non-differentiable function is intermittent

 Alexandre Boritchev , Daniel Eceizabarrena , Victor Vilaça da Rocha
2019
Pré-publication, Document de travail hal-02336549v1

Turbulence for the generalised Burgers equation

 Alexandre Boritchev
Russian Mathematical Surveys, 2014, 69 (6), pp.957-994. ⟨10.1070/RM2014v069n06ABEH004925⟩
Article dans une revue hal-02069966v1

Turbulence de Burgers en 1D : un cas modèle pour la théorie de Kolmogorov

 Alexandre Boritchev
Séminaire Laurent Schwartz, Sep 2011, Palaiseau, France
Communication dans un congrès hal-02069973v1
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