Chiara Gavioli PhD

I am currently FWF Postdoc in the research group Multiscale Calculus of Variations and PDEs led by Elisa Davoli at the Institute of Analysis and Scientific Computing of TU Wien. 
Research Interests
My research focuses on problems arising in materials science, which are tackled employing techniques from the theory of PDEs and from the Calculus of Variations.
Some research topics are:
 modelling of phase transitions,
 PDEs with hysteresis,
 regularity of solutions to the obstacle problem,
 homogenization and analysis of highcontrast materials.
Short CV
Publications
 On a viscoelastoplastic porous medium problem with nonlinear interaction. In SIAM J. Math. Anal., 53(1) (2021), 11911213.
 Higher differentiability for a class of obstacle problems with nearly linear growth conditions. In Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 31(4) (2020), 767789.
 Fatigue and phase transition in an oscillating elastoplastic beam. In Math. Model. Nat. Phenom., 15 (2020), Art. No. 41.
 Control and controllability of PDEs with hysteresis. In Appl. Math. Optim., to appear (2020).
 A priori estimates for solutions to a class of obstacle problems under p,qgrowth conditions. In J. Elliptic Parabol. Equ., 5(2) (2019), 325347.
 Higher differentiability of solutions to a class of obstacle problems under nonstandard growth conditions. In Forum Math., 31(6) (2019), 15011516.
Book chapters
 On the nullcontrollability of the heat equation with hysteresis in phase transition modeling. In Extended Abstracts Spring 2018, Trends in Mathematics, vol 11. Birkhäuser, Cham (2019), 6371.