home page of Lorenzo Brandolese

Lorenzo Brandolese

Address: ...picture...

Institut Camille Jordan
Université Lyon 1
43, bd du 11 novembre 69622 Villeurbanne Cedex, FRANCE

Ph.  +33 4 72447939
Fax +33 4 72431687
email: brandolese*math.univ-lyon1.fr     (replace *  with  @)
ORCID iD iconhttps://orcid.org/0000-0002-3045-0016

Position:  Maître de conférences

Editorial responsabilities:  Past editor of Nonlinear Analysis TMA (2014-2020).
Pedagogical responsabilities:  Responsible of the batchelor (Licence) Mathématiques et économie at Lyon 1 University.


Curriculum Vitae (French version. Updated october 2017)

Curriculum Vitae (English version. Updated January 2013)

Main research interests

Habilitation à diriger des recherches (Dec. 8th, 2010. pdf file, 76 pages, in French).

Referees E. Feireisl, I. Gallagher, Yoshikazu Giga.
Committee: M. Cannone, I. Gallagher, D. Iftimie, Y. Meyer, J.-C. Saut (Chair), D. Serre

Short english version of the habilitation (pdf file, 18 pages, 2010).


  • L. Brandolese, S. Monniaux, Well-posedness for the Boussinesq system in critical spaces via maximal regularity, submitted, 2021 (HAL).
  • L. Brandolese, Hexagonal structures in 2D Navier-Stokes flows, submitted, 2021.

  • Published or accepted papers

    1. L. Brandolese, Far field geometric structures of 2D flows with localised vorticity, Math. Annal. (to appear). (pdf , published version)

    2. L. Brandolese, T. Okabe, Annihilation of slowly-decaying terms of Navier-Stokes flows by external forcing, to appear in Nonlinearity, 34 no.3 (2021), 1733--1757. (HAL)

    3. L. Brandolese, J. He, Uniqueness theorems for the Boussinesq system,
      Tohoku Math. J. (2) 72 no.2 (2020), 283--297. (pdf)

    4. L. Brandolese, F. Cortez, Blowup for the nonlinear heat equation with small initial data in scale-invariant Besov norms,
      J. Funct. Anal. 276 (2019), 2589--2604. (pdf)

    5. L. Brandolese, On a non-soleinoidal approximation to the incompressible Navier--Stokes equations,
      J. London Math. Soc. 96, N.2 (2017), 326--344. (pdf)

    6. L. Brandolese, C. Mouzouni, A short proof of the large time energy growth for the Boussinesq system
      J. Nonlinear Sci. 27, N.5 (2017), 1589-1608. (pdf) (publisher file)

    7. L. Brandolese, M.E. Schonbek, Large time behavior of Newtonian viscous incompressible fluids,
      Chapter 3.4 of the book (to appear): Handbook of Mathematical Analysis in Mechanics of Viscous Fluids.
      Springer. Yoshikazu Giga and Antonin Novotny editors. DOI 10.1007/978-3-319-10151-4_11-1. (pdf)

    8. L. Brandolese, Characterization of solutions to dissipative systems with sharp algebraic decay,
      SIAM J. Math. Anal. 48, N. 3 (2016), 1616-1633. (pdf),

    9. L. Brandolese, A Liouville Theorem for the Degasperis-Procesi Equation
      Ann. Scuola Norm. Sup. Pisa XVI, N. 3 (2016), 759--765 (pdf)

    10. L. Brandolese, Manuel Fernando Cortez, On permanent and breaking waves in hyperelastic rods and rings
      J. Funct. Anal. 266 (2014), 6954-6987 (pdf)
    12. L. Brandolese, Manuel Fernando Cortez, Blowup issues for a class of nonlinear dispersive wave equations
      J. Diff. Equ. 256 (2014) 3981-3998 (pdf)
    14. L. Brandolese, Local-in-space criteria for blowup in shallow water and dispersive rod equations,
      Comm. Math. Phys., 330 (2014) 401--414 (pdf)
    16. L. Brandolese, Breakdown for the Camassa--Holm equation using decay criteria and persistence in weighted spaces,
      Int. Math. Res. Not. rnr218 (2012), 5161--5181. (pdf)
    17. L. Brandolese, M. E. Schonbek, Large time decay and growth for solutions of a viscous Boussinesq system,
      Trans. Amer. Math. Soc. 364 (2012) 5057-5090 (pdf)
    19. C. Bjorland, L. Brandolese, D. Iftimie, M.E. Schonbek, L^p solutions of the stady-state Navier-Stokes equations with rough external forces,
      Comm. Part. Diff. Equ., 36 (2011), 216--246 (pdf)
    21. H.-O. Bae, L. Brandolese, On the effect of external forces on the motion of incompressible flows at large distances
      Ann. Univ. Ferrara, VII Sci. 55 N.2, 225--238 (2009). (pdf)
    23. P. Biler, L. Brandolese, On the Parabolic-elliptic limit of the doubly parabolic Keller--Segel system modelling chemotaxis,
      Studia Math., 193 N.3, 241--261 (2009). (pdf)
    25. L. Brandolese, Concentration-diffusion effects in viscous incompressible flows,
      Indiana Univ. Math. J., 58, N.2, 789--806 (2009). (pdf)
    27. H.-O. Bae, L. Brandolese, B. J. Jin,, Asymptotic behavior for the Navier--Stokes equations with nonzero external forces,
      Nonlinear analysis 71, N.12, e292-e302 (2009). Doi: 10.1016/j.na.2008.10.074 (pdf)
    29. L. Brandolese, Fine properties of self-similar solutions of the Navier-Stokes equations
      Arch. Rational Mech. Anal., 192, N.3, 375--401 (2009) (pdf)
    31. L. Brandolese, G. Karch, Far field asymptotics of solutions to convection equation with anomalous diffusion
      J. Evol. Equ. 8, 307--326 (2008) (pdf)
    33. L. Brandolese, F. Vigneron , New asymptotic profiles of nonstationnary solutions of the Navier-Stokes system
      J. Math. Pures Appl. 88,64--86 (2007).   (pdf)
    35. L. Brandolese, F. Vigneron , On the Localization of the magnetic and the velocity fields in the equations of magnetohydrodynamics ,
      Proc. Roy. Soc. Edinburgh 137A, 475--495 (2007). (pdf)
    37. P. Biler, L. Brandolese, Global existence versus blow up for some models of interacting particles,
      Colloq. Math. 106, N.2, 293--303 (2006).   (pdf)
    39. L. Brandolese, Application of  the realization of homogeneous Sobolev spaces to Navier-Stokes,
      SIAM J. Math. Anal. 37, N.2, 673-683 (2005)   (pdf)
    41. L. Brandolese, Poisson kernels and sparse wavelet expansions,
      Proc. Amer. Math. Soc. 133, N. 11, 3345-3353 (2005) (pdf)
    43. L. Brandolese, Weighted-L^2 spaces and strong solutions to the Navier-Stokes equations,
      Progr.  in Nonlinear Diff. Eq. and Appl. 61, 27-35 (2005)  
    45. L. Brandolese, Space-time decay of Navier-Stokes flows invariant under rotations,
      Math. Ann. 329, 685-706 (2004)  (pdf)
    47. L. Brandolese, Atomic decomposition for the vorticity of a viscous flow in the whole space,
      Math. Nachr. 273, 28-42 (2004)  (pdf)
    49. L. Brandolese, Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations,
      Rev. Mat. Iberoamericana 20, 223-256 (2004) (pdf)
    51. L. Brandolese, Localisation de la vorticité et applications au comportement asymptotique de Navier-Stokes,
      Journées Equations aux dérivées partielles, Forges-les-eaux, pp. III 1--13 (2002)
    53. L. Brandolese, Y. Meyer, On the instantaneous spreading for the Navier-Stokes system in the whole space,
      Contr. Optim. Calc. Var. 8, pp. 273--285 (2002)  (pdf)
    55. L. Brandolese, On the localization of symmetric and asymmetric solutions of the Navier--Stokes equations in R^n,
      C. R. Acad. Sci. Paris, Série I t. 332, pp. 125--130 (2001)


    Ph.D dissertation

    Localisation, oscillations et comportement asymptotique pour les équations de Navier-Stokes, Ecole Normale Supérieure de Cachan (2001).
    Ph.D avdisor:  Yves MEYER     Referees:   Jean-Yves CHEMIN and Maria Elena SCHONBEK