Lorenzo Brandolese

Address:

Enseignement

Curriculum Vitae (French version. Updated october 2017)

Curriculum Vitae (English version. Updated January 2013)

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).

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

Published or accepted papers

1. L. Brandolese, On a non-soleinoidal approximation to the incompressible Navier--Stokes equations,
   J. London Math. Soc. (to appear) (pdf)


2. 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)


3. 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)


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


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


6. L. Brandolese, Manuel Fernando Cortez, On permanent and breaking waves in hyperelastic rods and rings
   J. Funct. Anal. 266 (2014), 6954-6987 (pdf)
   
 
7. L. Brandolese, Manuel Fernando Cortez, Blowup issues for a class of nonlinear dispersive wave equations
   J. Diff. Equ. 256 (2014) 3981-3998 (pdf)
   
 
8. L. Brandolese, Local-in-space criteria for blowup in shallow water and dispersive rod equations,
   Comm. Math. Phys., 330 (2014) 401--414 (pdf)
   
 
9. 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)
    
10. 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)
 
11. 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)
 
12. 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)
 
13. 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)
 
14. L. Brandolese, Concentration-diffusion effects in viscous incompressible flows,
    Indiana Univ. Math. J., 58, N.2, 789--806 (2009). (pdf)
 
15. 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)
 
16. L. Brandolese, Fine properties of self-similar solutions of the Navier-Stokes equations
    Arch. Rational Mech. Anal., 192, N.3, 375--401 (2009) (pdf)
 
17. L. Brandolese, G. Karch, Far field asymptotics of solutions to convection equation with anomalous diffusion
    J. Evol. Equ. 8, 307--326 (2008) (pdf)
 
18. L. Brandolese, F. Vigneron , New asymptotic profiles of nonstationnary solutions of the Navier-Stokes system
    J. Math. Pures Appl. 88,64--86 (2007).   (pdf)
 
19. 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)
 
20. P. Biler, L. Brandolese, Global existence versus blow up for some models of interacting particles,
    Colloq. Math. 106, N.2, 293--303 (2006).   (pdf)
 
21. L. Brandolese, Application of  the realization of homogeneous Sobolev spaces to Navier-Stokes,
    SIAM J. Math. Anal. 37, N.2, 673-683 (2005)   (pdf)
 
22. L. Brandolese, Poisson kernels and sparse wavelet expansions,
    Proc. Amer. Math. Soc. 133, N. 11, 3345-3353 (2005) (pdf)
 
23. 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)  
    
 
24. L. Brandolese, Space-time decay of Navier-Stokes flows invariant under rotations,
    Math. Ann. 329, 685-706 (2004)  (pdf)
 
25. L. Brandolese, Atomic decomposition for the vorticity of a viscous flow in the whole space,
    Math. Nachr. 273, 28-42 (2004)  (pdf)
 
26. 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)
 
27. 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)
 
28. 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)
 
29. 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