Sected Recent Publications

2021-22:

1. BUCUR D., FRAGALA' I., GIACOMINI A. Multiphase Free Discontinuity Problems: Monotonicity Formula and Regularity Results. Ann. Inst. H. Poincar\'e Anal. Non Linéaire 38 (2021), no. 5, 1553--1582.

2. BUCUR D., GIACOMINI A. ,NAHON M. Degenerate Free Discontinuity Problems and Spectral Inequalities in Quantitative Form. Arch. Ration. Mech. Anal. 242 (2021), no. 1, 453--483.

3. PELETIER M., ROSSI R., SAVARE' G., TSE O. Jump processes as generalized gradient flows. Calc. Var. Partial Differential Equations 61 (2022), Paper No. 33, 85 pp.

4. CRISMALE V., ROSSI R. Balanced viscosity solutions to a rate-independent coupled elasto-plastic damage system. SIAM J. Math. Anal. 53 (2021), 3420–3492.

5. BONETTI E., BONFANTI G., ROSSI R. A new nonlocal temperature-dependent model for adhesive contact.Mathematical Modeling in Cultural Heritage, Springer International Publishing (41), (2021).

6. BONFANTI G., COLTURATO M., ROSSI R. Global existence for a highly nonlinear temperature-dependent system modeling nonlocal adhesive contact. Nonlinear Anal. Real World Appl. 66 (2022), Paper No. 103511.

7. FRANK R,. KOENIG T., KOVARIK H. Energy asymptotics in the three-dimensional Brezis--Nirenberg problem. Calc. Var. Partial Differential Equations 60 (2021), Paper No. 58, 46 pp.

8. KOVARIK H. Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two. Adv. Math. 398 (2022), Paper No.108244, 94 pp.

2020:

• 1. BONETTI E., BONFANTI G., LICHT C., ROSSI R. An asymptotic model for the dynamics of two linearly elastic bodies connected by a heavy thin soft viscoelastic layer. J. Elasticity, 141 (2020), no. 1, 75--107.

  2. BUCUR D., FRAGALA' I., GIACOMINI A. Local minimality results for the Mumford-Shah functional via monotonicity. Anal. PDE, 13 (2020), no. 3, 865--899.

  3. CHEN G.-Q.,SECCHI P.,WANG T. Stability of multi-dimensional thermoelastic contact discontinuities. Arch. Ration. Mech. Anal., 237 (3) (2020), 1271-1323.

  4. MORANDO A., SECCHI P., TREBESCHI P. On the evolution equation of compressible vortex sheets. Math Nachr., 293 (2020), no. 5, 945-969.

  5. MORANDO A., SECCHI P., TRAKHININ Y., TREBESCHI P. Stability of an incompressible plasma-vacuum interface with displacement current in vacuum. Math. Meth. Appl. Sci. 43 (2020), no. 12, 7465--7483.

  6. KOVARIK H., PINCHOVER Y. On minimal decay at infinity of Hardy-weights. Comm. Cont. Mathematics, 22 (2020), pp. 1950046.

2019:

• 1. BUCUR D., GIACOMINI A. Minimization of the k-th eigenvalue of the Robin-Laplacian. J. Funct. Anal. 277 (2019), no. 3, 643-687.

  2. CHEN G.-Q.,SECCHI P.,WANG T. Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime. Arch. Ration. Mech. Anal. 232 (2) (2019), 591-695.

  3. MORANDO A., TREBESCHI P., WANG T. Two-dimensional vortex sheets for the nonisentropic Euler equations: nonlinear stability. J. Differential Equations 266(2019), no. 9, 5397–5430.

  4. BUCUR D., GIACOMINI A., TREBESCHI P. Best constant in Poincaré inequalities with traces: a free discontinuity approach. Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no. 7, 1959-1986.

  5. KOVARIK H., PANKRASHKIN K. Robin eigenvalues on domains with peaks. J. Differential Equations. 267 (2019), 1600-1630.

  6. BUCUR D., GIACOMINI A. Minimization of the k-th eigenvalue of the Robin-Laplacian. J. Funct. Anal. 277 (2019), no. 3, 643--687.

  7. ROSSI R., SAVARE' G., SEGATTI A., STEFANELLI U. Weighted energy-dissipation principle for gradient flows in metric spaces. J. Math. Pures Appl. 127 (2019), 1-66.

  8. ROSSI R. Visco-energetic solutions to some rate-independent systems in damage, delamination, and plasticity. Math. Models Methods Appl. Sci. 29 (2019), 1079-1138.

  9. BONETTI E., BONFANTI G., LEBON F. Derivation of imperfect interface model coupling damage and temperature. Comput. Math. Appl. 77 (2019), no. 11, 2906--2916.

2018:

• 1. CHEN G.-Q., SECCHI P., WANG T. Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime. Arch. Rational Mech. Anal. (2018).

  2. MORANDO A., SECCHI P., TREBESCHI P. Data dependence of approximate current-vortex sheets near the onset of instability. J. Hyperbolic Differ. Equ. 14 (2017), no. 3, 517--534.

  3. MIELKE A., ROSSI R., SAVARE' G. Global existence results for viscoplasticity at finite strain. Arch. Ration. Mech. Anal. 227 (2018), 423-475.

  4. MORANDO A., TRAKHININ Y., TREBESCHI P. Local existence of MHD contact discontinuities. Arch. Ration. Mech. Anal. 228 (2018), no. 2, 691--742.

  5. KOVARIK H. RUSZKOWSI B. WEIDL T. Melas-type bounds for the Heisenberg Laplacian on bounded domains. J. Spectr. Theory, 8 (2018), 413--434.

  6. BONETTI E., BONFANTI G., ROSSI R. Global existence for a nonlocal model for adhesive contact. Applicable Analysis 97 (2018), 1315-1339.

2017:

• 1. KOVARIK H., PANKRASHKIN K. On the p-Laplacian with Robin boundary conditions and boundary trace theorems. Calc. Var. Partial Differential Equations, 56 (2017), 29p.

  2. BOGOSEL B., BUCUR D., GIACOMINI A. Optimal shapes maximizing the Steklov eigenvalues.SIAM J. Math. Anal. 49 (2017), no. 2, 1645--1680.

  3. ROSSI R., THOMAS M. From adhesive to brittle delamination in visco-elastodynamics. Math. Models Methods Appl. Sci. 27 (2017), 1489-1546.

  4. BONETTI E., BONFANTI G., LEBON F., RIZZONI R. A model of imperfect interface with damage. Meccanica 52 (2017), 1911-1922.

  5. ROSSI R., THOMAS M. Coupling rate-independent and rate-dependent processes: existence results. SIAM J. Math. Anal. 49 (2017), 1419–1494.

  6. MORANDO A., SECCHI P., TREBESCHI P. On the weakly nonlinear Kelvin-Helmholtz instability of current-vortex sheets. NoDEA Nonlinear Differential Equations Appl. 24 (2017), no. 4, Art. 34., 18 pp.

  7. MORANDO A., SECCHI P., TREBESCHI P. Existence of approximate current-vortex sheets near the onset of instability. J. Hyperbolic Differ. Equ. 14 (2017), no. 2, 193--248.

2016:

• 1. MORANDO A., TRAKHININ Y., TREBESCHI P. On local existence of MHD contact discontinuities. Discrete Contin. Dyn. Syst. Ser. S 9 (2016), no. 1, 289–313.

  2. CATANIA D., D'ABBICCO M., SECCHI P. Weak stability of the plasma-vacuum interface problem, J. Differential Equations 261 (6) (2016), 3169--3219.

  3. FRANCFORT G., GIACOMINI A., MARIGO J-J.: A case study for uniqueness of elasto-plastic evolutions: the bi-axial test. J. Math. Pures Appl. 105 (2016), 198-227.

  4. EKHOLM T., KOVARIK H., PORTMANN F. Estimates for the Lowest Eigenvalue of Magnetic Laplacians. J. Math. Anal. Appl., 439 (2016), 330--346.

  5. MIELKE A., ROSSI R. SAVARE G. Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems. J. Eur. Math. Soc. (JEMS) 18 (2016), 2107-2165.

2015:

• 1. CATANIA D. , MORANDO A., TREBESCHI P. Global attractor for the Navier-Stokes equations with fractional deconvolution. NoDEA Nonlinear Differential Equations Appl. 22 (2015), no. 4, 811–848.

  2. KOVARIK H. Resolvent expansion and time decay of the wave functions for two-dimensional magnetic Schroedinger operators. Comm. Math. Phys. 337 (2015), 681–726.

  3. EKHOLM T., FRANK R., KOVARIK H. Weak perturbations of the p-Laplacian. Calc. Var. Partial Differential Equations 53 (2015), 781–801.

  4. MORANDO A., TRAKHININ Y., TREBESCHI P. Well-posedness of the linearized problem for MHD contact discontinuities. J. Differential Equations 258 (2015), no. 7, 2531–2571.

  5. SECCHI P. Nonlinear surface waves on the plasma-vacuum interface, Quart. Appl. Math., 73 (2015), 711--737.

  6. ROCCA E., ROSSI R. "Entropic'' solutions to a thermodynamically consistent PDE system for phase transitions and damage. SIAM J. Math. Anal. 47 (2015), 2519-2586.

  7. BONETTI E., BONFANTI G., ROSSI R. Modeling via the internal energy balance and analysis of adhesive contact with friction in thermoviscoelasticity. Nonlinear Anal. Real World Appl. 22 (2015), 473–507.

  8. BONETTI E., BONFANTI G., ROSSI R. Analysis of a model coupling volume and surface processes in thermoviscoelasticity. Discrete Contin. Dyn. Syst. Series A 35 (2015), 2349–2403.

  9. BUCUR D., GIACOMINI A. Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach. Arch. Ration. Mech. Anal. 218 (2015), 757-824.

2014:

• 1. BONETTI E., BONFANTI G., ROSSI R. Analysis of a temperature-dependent model for adhesive contact with friction. Phys. D 285 (2014), 42-62.

  2. FRANCFORT G., GIACOMINI A. On periodic homogenization in perfect elasto-plasticity. J. Eur. Math. Soc. (JEMS) 16 (2014), no. 3, 409-461.

  3. GRILLO G., KOVARIK H., PINCHOVER Y. Sharp two-sided heat kernel estimates of twisted tubes and applications. Arch. Ration. Mech. Anal. 213 (2014), no. 1, 215-243.

  4. ROCCA E., ROSSI R. A degenerating PDE system for phase transitions and damage. Math. Models Methods Appl. Sci. 24 (2014), 1265-1341.

  5. SECCHI P., TRAKHININ Y. Well-posedness of the plasma-vacuum interface problem. Nonlinearity 27 (2014) 105-169.

2013:

• 1. BONFANTI G., LUTEROTTI F. A well-posedness result for irreversible phase transitions with a nonlinear heat flux law. Discrete Contin. Dyn. Syst. Ser. S 6 (2013), no. 2, 331–351.

  2. FRANK R., KOVARIK H. Heat kernels of metric trees and applications. SIAM J. Math. Anal. 45 (2013), no. 3, 1027-1046.

  3. MIELKE A., ROSSI R., SAVARE' G. Nonsmooth analysis of doubly nonlinear evolution equations. Calc. Var. Partial Differential Equations 46 (2013), 253-310.

  4. SECCHI P., TRAKHININ Y. Well-posedness of the linearized plasma-vacuum interface problem. Interfaces and Free Boundaries, 15 (2013), 323-357.