home page of Lorenzo Brandolese
Lorenzo Brandolese
Address:
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 @)
Position: Maître de
conférences
New ! Recruiting a doctoral student for a three year contract (October 2022-September 2025)
for the project:
Effects of irregular transport in fluid mechanics
Call.
L. Brandolese, F. Fanelli (Lyon).
In partership with Claudio Munoz (Santiago).
The contract is funded by CNRS. It is based in Lyon, with a mobility of a few months
at Santiago (Chili).
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 January 2022)
Main research interests
- Asymptotic behavior in nonlinear partial differential equations.
- Incompressible fluid mechanics: Navier-Stokes, Boussinesq, MHD systems, etc.
- Nonlinear dispersive wave equations (shallow water, Camassa--Holm, rod equations, etc.)
- Well-posedness and blowup issues
- Applications of harmonic analysis to PDEs
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).
Preprints
P. Biler, A. Boritchev, L. Brandolese,
Large global solutions of the parabolic-parabolic Keller-Segel system in higher dimensions
(pdf), 2022.
Published or accepted papers
-
L. Brandolese,
Hexagonal structures in 2D Navier-Stokes flows,
Comm. PDE (https://doi.org/10.1080/03605302.2022.2037633), 2022.
(pdf).
-
L. Brandolese, S. Monniaux,
Well-posedness for the Boussinesq system
in critical spaces via maximal regularity, Ann. Inst. Fourier (to appear)
(pdf).
-
L. Brandolese,
Far field geometric structures of 2D flows with localised vorticity,
Math. Annal. (to appear).
(pdf , published version)
-
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)
- L. Brandolese, J. He,
Uniqueness theorems for the Boussinesq system,
Tohoku Math. J. (2) 72 no.2 (2020), 283--297.
(pdf)
- 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)
- L. Brandolese,
On a non-soleinoidal approximation to the incompressible Navier--Stokes equations,
J. London Math. Soc. 96, N.2 (2017), 326--344.
(pdf)
- 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)
- 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)
- L. Brandolese,
Characterization of solutions to dissipative systems with sharp algebraic decay,
SIAM J. Math. Anal. 48, N. 3 (2016), 1616-1633.
(pdf),
- L. Brandolese,
A Liouville Theorem for the Degasperis-Procesi Equation
Ann. Scuola Norm. Sup. Pisa XVI, N. 3 (2016), 759--765
(pdf)
- L. Brandolese, Manuel Fernando Cortez,
On permanent and breaking waves in hyperelastic rods and rings
J. Funct. Anal. 266 (2014), 6954-6987 (pdf)
- L. Brandolese, Manuel Fernando Cortez,
Blowup issues for a class of nonlinear dispersive wave equations
J. Diff. Equ. 256 (2014) 3981-3998 (pdf)
- L. Brandolese, Local-in-space criteria for blowup in shallow water and dispersive rod equations,
Comm. Math. Phys., 330 (2014) 401--414 (pdf)
- 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)
-
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)
-
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)
-
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)
-
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)
-
L. Brandolese, Concentration-diffusion effects in viscous incompressible flows,
Indiana Univ. Math. J., 58, N.2, 789--806 (2009).
(pdf)
-
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)
-
L. Brandolese,
Fine properties of self-similar solutions of the
Navier-Stokes equations
Arch. Rational Mech. Anal., 192, N.3, 375--401 (2009)
(pdf)
-
L. Brandolese, G. Karch, Far field asymptotics of solutions to convection equation
with anomalous diffusion
J. Evol. Equ. 8, 307--326 (2008)
(pdf)
- L. Brandolese, F. Vigneron ,
New asymptotic profiles of nonstationnary solutions of the Navier-Stokes system
J. Math. Pures Appl. 88,64--86 (2007).
(pdf)
- 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)
- P. Biler, L. Brandolese, Global existence versus blow up
for some models of interacting particles,
Colloq. Math.
106, N.2, 293--303 (2006).
(pdf)
- L. Brandolese, Application
of the realization of homogeneous Sobolev spaces to Navier-Stokes,
SIAM J. Math. Anal.
37, N.2, 673-683 (2005)
(pdf)
- L. Brandolese, Poisson kernels and sparse wavelet expansions,
Proc. Amer. Math. Soc.
133, N. 11, 3345-3353 (2005)
(pdf)
- 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)
- L. Brandolese, Space-time decay of Navier-Stokes flows
invariant under rotations,
Math. Ann.
329, 685-706 (2004)
(pdf)
-
L. Brandolese, Atomic decomposition for the vorticity of a
viscous flow in the whole space,
Math. Nachr. 273, 28-42 (2004)
(pdf)
- 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)
- 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)
- 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)
- 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