Mariapia Palombaro

Senior Researcher

Coppito 1, Room
mariapia.palombaro@univaq.it

 

 

Research Interests

 

 

  

Calculus of Variations and Partial Differential Equations

 

 

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 Homogenization 

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 Applications in materials science

Teaching web pages:
Office hours:
After the lectures or by appointment / Contact the teacher
Courses:

 

Publications

 

1. M. Palombaro, M. Ponsiglione: The three divergence free matrix fields problem, Asymptotic Analysis 40(1) (2004), 37-49.

 

2. G. Allaire, M. Palombaro: Localization for the Schrodinger equation in a locally periodic medium, SIAM J. Math. Anal. 38 (2006), no. 1, 127-142.

 

3. S. Müller, M. Palombaro: Existence of minimizers for a polyconvex energy in a crystal with dislocations, Calc. Var. Partial Differential Equations 31 (2008), no. 4, 473-482. 

 

4. G. Allaire, M. Palombaro, J. Rauch: Diffractive behavior of the wave equation in periodic media: weak convergence analysis, Ann. Mat. Pura Appl. 188 (2009) no. 4, 561-589. 

 

5. M. Palombaro, V. P. Smyshlyaev: Relaxation of three solenoidal wells and characterization of three-phase H-measures, Arch. Rational Mech. Anal. 194 (2009), no. 3, 775-822. 

 

6. M. Palombaro: Rank-(n - 1) convexity and quasiconvexity for divergence free fields, Advances in Calculus of Variations 3 (2010), no. 3, 279-285. 

 

7. G. Allaire, M. Palombaro, J. Rauch: Diffractive geometric optics for Bloch wave packets, Arch. Rational Mech. Anal. 202 (2011), 373-426. 

 

8. S. Müller, M. Palombaro: Derivation of a rod theory for biphase materials with dislocations at the interface. To appear on Calc. Var. Partial Differential Equations  (published online: August 2012).

 

9. S. Müller, M. Palombaro: On a differential inclusion related to the Born-Infeld equation. To appear on SIAM J. Math. Anal. (http://arxiv.org/abs/1201.4244).

 

10. V. Nesi, M. Palombaro, M. Ponsiglione: Gradient integrability and rigidity results for two-phase conductivity in dimension two . 

To appear on Ann. Inst. H. Poincare, Anal. Non Lineaire.

 

11. G. Allaire, M. Palombaro, J. Rauch: Diffraction of Bloch wave packets for Maxwell's equations. To appear on Communications in Contemporary Mathematics (http://arxiv.org/abs/1202.6549).

 

12. G. Allaire, M. Palombaro, J. Rauch: A bound on group velocity for Bloch wave packets. Preprint 2012 (http://arxiv.org/abs/1203.0218).

 

13. G. Lazzaroni, M. Palombaro, A. Schlomerkemper: A discrete to continuum analysis of dislocations in nanowires heterostructures. Preprint 2013 (http://arxiv.org/abs/1308.3505).