ERC Starting Independent Researcher
Grant ERC Starting Independent Researcher
Grant
REPORTS:
updated to March 31, 2017
Papers appeared in International Journals:
43. C. Heinemann, C. Kraus, E. Rocca, R. Rossi,
A temperature-dependent phase-field model for phase separation and damage
Arch. Ration. Mech. Anal., 225 (2017), 177–247.
42. R. Scala,
Limit of viscous dynamic processes in delamination as the viscosity and inertia vanish,
ESAIM:COCV, 23 no. 2 (2017).
41. R. Scala, G. Schimperna,
A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints,
European J. Appl. Math, 28 (1) (2017), 91--122 .
40. C. Cavaterra, E. Rocca, H. Wu,
Optimal boundary control of a simplified Ericksen–Leslie system for nematic liquid crystal flows in 2D,
Arch. Ration. Mech. Anal., 224 (2017), 1037--1086.
39. M. Dai, E. Feireisl, E. Rocca, G. Schimperna, M. Schonbek,
Analysis of a diffuse interface model of multispecies tumor growth
Nonlinearity, 30 (2017), 1639.
38. S. Frigeri,
Global existence of weak solutions for a nonlocal model for two-phase flows of incompressible fluids with unmatched densities,37. R. Scala, G. Schimperna,
On the viscous Cahn-Hilliard equation with singular potential and inertial term,
AIMS Mathematics, 1(1) (2016), 64--76.
36. P. Colli, G. Gilardi, E. Rocca, J. Sprekels,
Asymptotic analyses and error estimates for a Cahn–Hilliard type phase field system modelling tumor growth,
Discrete Contin. Dyn. Syst. Ser. S, 10 (2017), 37--54.
35. S. Frigeri, C. Gal, M. Grasselli
On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions,
34. B. Albers, P. Krejci, E. Rocca
Solvability of an unsaturated porous media flow problem with thermomechanical interaction,
SIAM J. Math. Anal., 48 (2016), 4175--4201.
33. M. Eleuteri, E. Rocca, G. Schimperna
Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids,
Ann. Inst. H. Poincare' Anal. Non Line'aire, 33 (2016), 1431-1454.
32. M. Dai, E. Feireisl, E. Rocca, G. Schimperna, M. Schonbek,
On asymptotic isotropy for a hydrodynamic model of liquid crystals,
Asymptot. Anal, 97 (2016), 189-210.
31. E. Bonetti, E. Rocca, R. Rossi, M. Thomas
A rate-independent gradient system in damage coupled with plasticity via structured strains,
ESAIM: PROCEEDINGS AND SURVEYS, 54 (2016), 54-69.
30. C. Cavaterra, E. Rocca, H. Wu, X. Xu,
Global strong solutions of the full Navier-Stokes and Q-tensor system
for nematic liquid crystal flows in 2D: existence and long-time
behavior,
SIAM J. Math. Anal. 48 (2016), no. 2, 1368-1399.
29. P. Colli, G. Marinoschi, E. Rocca
Sharp interface control in a Penrose-Fife model,
ESAIM: COCV 22 (2016), 473-499.28. S. Frigeri, E. Rocca, J. Sprekels,
Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in 2D,
SIAM J. Control Optim. 54 (2016), 221-250.
27. P. Colli, G. Gilardi, G. Marinoschi, E. Rocca,
Optimal control for a phase field system with a possibly singular potential,
Math. Control Relat. Fields, 6 (2016), 95-112.
26. C. Heinemann, E. Rocca
Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficients,
MMAS, 38 (2015), 4587--4612.25. E. Feireisl, E. Rocca, G. Schimperna, A. Zarnescu
Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy,
Annali di Matematica, 194 (2015), 1269--1299.
24. E. Rocca, J. Sprekels,
Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in 3D,
SIAM J. Control Optim., 53 (2015), 1654--1680.
23. E. Rocca, R. Rossi
``Entropic'' solutions to a thermodynamically consistent PDE system for phase transitions and damage,
SIAM J. Math. Anal., 47 (2015), 2519--2586.22. P. Colli, G. Gilardi, E. Rocca, J. Sprekels,
Vanishing viscosities and error estimate for a Cahn--Hilliard type phase-field system related to tumor growth,
Nonlinear Analysis: Real World Applications, 26 (2015), 93--108.
21. S. Frigeri, M. Grasselli, E. Rocca,
A diffuse interface model for two-phase incompressible flows with nonlocal interactions and nonconstant mobility
Nonlinearity, 28 (2015), 1257--1293.
20. S. Frigeri, M. Grasselli, E. Rocca
On a diffuse interface model of tumor growth
European J. Appl. Math., 26 (2015), 215--243.
19. M. Eleuteri, E. Rocca, G. Schimperna
On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids
Discrete Contin. Dyn. Syst., 35 (2015), 2497--2522.
18. D. Hoemberg, T. Petzold, E. Rocca
Analysis and simulation of multifrequency induction hardening
Nonlinear Analysis: Real World Applications, 22 (2015), 84–-97.
17. S. Melchionna, E. Rocca
On a nonlocal Cahn-Hilliard equation with a reaction term
Adv. Math. Sci. Appl., 24 (2014), 461--497.
16. D. Hoemberg, T. Petzold, E. Rocca,
Multifrequency induction hardening: a challenge for industrial mathematics
in ``The Impact of Applications on Mathematics'', Mathematics for Industry 1,
M. Wakayama et al. (eds.), Springer, Japan (2014).
15. A. Miranville, E. Rocca, G. Schimperna, A. Segatti,
The Penrose-Fife phase-field model with coupled dynamic boundary conditions
Discrete Contin. Dyn. Syst. , 34 (2014), 4259--4290.
14. E. Rocca, R. Rossi
A degenerating PDE system for phase transitions and damage
Math. Models Methods Appl. Sci., 24 (2014), 1265--1341.
13. E. Feireisl, E. Rocca, G. Schimperna, A. Zarnescu
Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential,
Comm. Math. Sci., 12 (2014), 317--343.
12. S. Frigeri, M. Grasselli, Pavel Krejčí,
Strong solutions for two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems
J. Differential Equations 255 (2013), no. 9, 2587–2614. 11. M. Eleuteri, J. Kopfova, P. Krejci,
Non-isothermal cyclic fatigue in an oscillating elastoplastic beam,
Comm. Pure Appl. Anal., 12 (2013) No. 6, 2973–2996.
10. C. Cavaterra, E. Rocca, H. Wu,
Global weak solution and blow-up criterion of the general Ericksen--Leslie system for nematic liquid crystal flows
J. Differential Equations, 255 (2013), 24--57.
9. P. Krejci, E. Rocca
Well-posedness of an extended model for water-ice phase transitions
Discrete Contin. Dyn. Syst. Ser. S, 6, no.2 (2013), 439--460.
8. S. Frigeri, E. Rocca
Trajectory attractors for the Sun-Liu model for nematic liquid crystals in 3D
Nonlinearity, 26 (2013), 933--957.
On a 3D isothermal model for nematic liquid crystals accounting for stretching terms
Z. Angew. Math. Phys., 64 (2013), 69--82.
6. H. Petzeltova', E. Rocca, G. Schimperna On the long-time behavior of some mathematical models for nematic liquid crystals
Calc. Var., 46 (2013), 623--639.
5. M. Eleuteri, J. Kopfova, P. Krejci
Fatigue accumulation in an oscillating plate,
Discrete and Continuous Dynamical Systems, Series S, 6 (2013), No. 4, 909--923.
4. S. Frigeri, M. Grasselli
Nonlocal Cahn-Hilliard-Navier-Stokes systems with singular potentials
Dyn. Partial Differ. Equ., 9 (2012), no. 4, 273–304.3. S. Frigeri, M. Grasselli
Global and trajectory attractors for a non-local Cahn-Hilliard-Navier-Stokes system,
J. Dynam. Differential Equations, 24 (2012), 827--856.
2. D. Hoemberg, E. Rocca
A model for resistance welding including phase transitions and Joule heating
Math. Meth. Appl. Sci., 34 (2011), 2077--2088.
1. E. Feireisl, M Fremond, E. Rocca, G. Schimperna
A new approach to
non-isothermal models for nematic liquid crystals
Arch. Ration. Mech. Anal., 205 (2012), no. 2, 651-672.
Preprints and papers to appear in International Journals:
13. M. Negri, R. Scala,
A quasi-static evolution generated by local energy minimizers for an elastic material with a cohesive interface,
preprint cvgmt no. 3263 (2017).
12. I. Lucardesi, M. Morandotti, R. Scala, D. Zucco,
Confinement of dislocations inside a crystal with a prescribed external strain,
preprint arXiv:1610.06852 (2016), 1--33.
11. S. Frigeri, K.-F. Lam, E. Rocca,
On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities,
preprint arXiv:1703.03553 (2017), 1--28.
10. E. Feireisl, E. Rocca, G. Schimperna, A. Zarnescu,
On a hyperbolic system arising in liquid crystals modeling,
preprint arXiv:1610.07828 (2016), 1--22.
9. S. Melchionna, E. Rocca,
Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth,
preprint arXiv:1610.04478 (2016), 1--21.
8. H. Garcke, K.-F. Lam, E. Rocca
Optimal control of treatment time in a diffuse interface model of tumor growth,
preprint arXiv:1608.00488, (2016) 1--39, Appl. Math. Optim., to appear (2017).
7. E. Rocca, R. Scala,
A rigorous sharp interface limit of a diffuse interface model related to tumor growth,
preprint arXiv:1606.04663 (2016), 1--24, J Nonlinear Sci, DOI 10.1007/s00332-016-9352-3, to appear (2017).
6. B. Albers, P. Krejci, E. Rocca,
Periodic waves in unsaturated porous media with hysteresis,
preprint arXiv:1606.04665 (2016), 1--15.
5. R. Scala,
A weak
formulation for a rate-independent delamination evolution with inertial
and viscosity effects subjected to unilateral constraint,
Preprint cvgmt 2818, to appear on Interfaces and free boundaries.
4. P. Colli, G. Gilardi, E. Rocca, J. Sprekels,
Optimal distributed control of a diffuse interface model of tumor growth,
preprint arXiv:1601.04567v1 (2016), 1--32.
3. E. Bonetti, E. Rocca,
Generalized gradient flow structure of internal energy driven phase field systems
preprint arXiv:1507.03818 (2015), 1--20, WIAS preprint No. 2144 (2015), 1--19, ESAIM : COCV, to appear (2017).
2. V. Barbu, P. Colli, G. Gilardi, G. Marinoschi, E. Rocca,
Sliding mode control for a nonlinear phase-field system,
preprint arXiv:1506.01665 (2015), 1--28, SIAM J. Control Optim., to appear (2017).
1. E. Bonetti, E. Rocca, R. Scala, G. Schimperna,
On the strongly
damped wave equation with constraint,
preprint arXiv:1503.01911 (2015), 1--21.
Volumes:
[V2] ``Special
issue dedicated to Michel Fre'mond on the occasion of his 70th
birthday'',
edited by E. Bonetti, C. Cavaterra, E. Rocca, R. Rossi, Discrete Contin. Dyn. Syst. Ser. S, 6, No. 2 (2013).
[V1] ``New trends in direct, inverse, and control problems for
evolution equations'', Discrete Contin. Dyn. Syst. Ser. S, 4, No.
3 (2011),
edited by P. Cannarsa, C. Cavaterra, A. Favini, A. Lorenzi, E. Rocca.
[V3] ``Special
issue on rate-independent evolutions and hysteresis modelling'',
edited by S. Bosia, M. Eleuteri, E. Rocca, and E. Valdinoci, Discrete Contin. Dyn. Syst. Ser. S, 8, No. 4 (2015).
[V4] ``Special issue dedicated to Juergen Sprekels on the occasion of
his 65th birthday'',
edited by P. Colli, G. Gilardi, D. Hoemberg, P. Krejci and Elisabetta Rocca, Discrete Contin. Dyn. Syst., 35, No. 6 (2015).
Other publications:
[N.] E. Rocca:
"Entropic" solutions for two-phase fluids flows, phase transitions, and
damage, ISIMM -- The International Society
for the Interaction of Mechanics and Mathematics -- FORUM, March 2015.