Lorenzo Brandolese

Address:

Enseignement

Curriculum Vitae (French version. Updated, January 2012)

Curriculum Vitae (English version. Updated, January 2012)

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

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

Published or accepted papers

 
1. L. Brandolese, Breakdown for the Camassa--Holm equation using decay criteria and persistence in weighted spaces,
   Int. Math. Res. Not. rnr218 2011, 21 pages. doi:10.1093/imrn/rnr218. (file .pdf)
   
   Abstract. We exhibit a sufficient condition in terms of decay at infinity of the initial data for the finite time blow up of strong solutions to the Camassa--Holm equation: a wave breaking will occur as soon as the initial data decay faster at infinity than the solitons. In the case of data decaying slower than solitons we provide persistence results for the solution in weighted $L^p$-spaces, for a large class of moderate weights. Explicit asymptotic profiles illustrate the optimality of these results.
   
 
2. L. Brandolese, M.E. Schonbek, Large time decay and growth for solutions of a viscous Boussinesq system,
   Trans. Amer. Math. Soc. (to appear) (file .pdf)
 
3. 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, 216--246, 2011 (file .pdf)
 
4. 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). (file.pdf)
 
5. 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). (file.pdf)
 
6. L. Brandolese, Concentration-diffusion effects in viscous incompressible flows,
   Indiana Univ. Math. J., 58, N.2, 789--806 (2009). (file.pdf)
 
7. 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 (file.pdf)
 
8. L. Brandolese, Fine properties of self-similar solutions of the Navier-Stokes equations
   Arch. Rational Mech. Anal., 192, N.3, 375--401 (2009) (file .pdf)
 
9. L. Brandolese, G. Karch, Far field asymptotics of solutions to convection equation with anomalous diffusion
   J. Evol. Equ. 8, 307--326 (2008) (file.pdf)
 
10. L. Brandolese, F. Vigneron , New asymptotic profiles of nonstationnary solutions of the Navier-Stokes system
    J. Math. Pures Appl. 88,64--86 (2007).   (file.pdf)
 
11. 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). (file.pdf)
 
12. P. Biler, L. Brandolese, Global existence versus blow up for some models of interacting particles,
    Colloq. Math. 106, N.2, 293--303 (2006).   (file .pdf)
 
13. L. Brandolese, Application of  the realization of homogeneous Sobolev spaces to Navier-Stokes,
    SIAM J. Math. Anal. 37, N.2, 673-683 (2005)   (file.pdf)
 
14. L. Brandolese, Poisson kernels and sparse wavelet expansions,
    Proc. Amer. Math. Soc. 133, N. 11, 3345-3353 (2005) (file.pdf)
 
15. 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)  
    
 
16. L. Brandolese, Space-time decay of Navier-Stokes flows invariant under rotations,
    Math. Ann. 329, 685-706 (2004)  (file .pdf)
 
17. L. Brandolese, Atomic decomposition for the vorticity of a viscous flow in the whole space,
    Math. Nachr. 273, 28-42 (2004)  (file .pdf)
 
18. L. Brandolese, Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations,
    Rev. Mat. Iberoamericana 20, 223-256 (2004) (file .pdf)
 
19. 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)
 
20. 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)  (file .pdf)
 
21. 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