**Research area:** Nonlinear partial differential equations. **Principal interests:** Hyperbolic conservation laws, applications to fluid dynamics. **Short vitae:**

- 2014-present: Associate professor, University of L'Aquila
- 2002-2014: Assistant professor, University of L'Aquila
- 1996-2002: Assistant professor, University of Milan
- 1992-1995: Ph.D., SISSA, Trieste
- 1992: Degree in Mathematics, University of Bologna

After the lectures or by appointment / Contact the teacher

42) D. Amadori, E. Dal Santo, F. Aqel

*Decay of approximate solutions for the damped semilinear wave equation on a bounded 1d domain*

*J. Math. Pures Appl.*, 2019

41) D. Amadori, S.-Y. Ha, J. Park.

On the global well-posedness of BV weak solutions to the Kuramoto-Sakaguchi equation.

J. Differential Equations **262** (2017), 978-1022

40) D. Amadori, S.-Y. Ha, J. Park.

Wave-front tracking analysis for the Kuramoto-Sakaguchi equation

In: Innovative Algorithms and Analysis, Springer INdAM Series (2017), 1-24

39) Amadori, Debora; Baiti, Paolo; Corli, Andrea; Dal Santo, Edda Global existence of solutions for a multi-phase flow: a drop in a gas-tube. J. Hyperbolic Differ. Equ. 13 (2016), no. 2, 381–415

38) Amadori, Debora; Gosse, Laurent Stringent error estimates for one-dimensional, space-dependent 2×2 relaxation systems. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 3, 621–654

37) Amadori, Debora; Baiti, Paolo; Corli, Andrea; Dal Santo, Edda A hyperbolic model of two-phase flow: global solutions for large initial data. Bull. Braz. Math. Soc. (N.S.) 47 (2016), no. 1, 65–75

36) Amadori, Debora; Gosse, Laurent Error estimates for well-balanced and time-split schemes on a locally damped wave equation. Math. Comp. 85 (2016), no. 298, 601–633

35) Amadori, Debora; Gosse, Laurent Error estimates for well-balanced schemes on simple balance laws. One-dimensional position-dependent models. With a foreword by François Bouchut. SpringerBriefs in Mathematics. BCAM SpringerBriefs. Springer, Cham; BCAM Basque Center for Applied Mathematics, Bilbao, 2015

34) Amadori, Debora; Baiti, Paolo; Corli, Andrea; Dal Santo, Edda Global weak solutions for a model of two-phase flow with a single interface. J. Evol. Equ. 15 (2015), no. 3, 699–726

33) Amadori, Debora; Baiti, Paolo; Corli, Andrea; Dal Santo, Edda Global existence of solutions for a multi-phase flow: a bubble in a liquid tube and related cases. Acta Math. Sci. Ser. B Engl. Ed. 35 (2015), no. 4, 832–854

32) Amadori, Debora; Goatin, Paola; Rosini, Massimiliano D. Existence results for Hughes' model for pedestrian flows. J. Math. Anal. Appl. 420 (2014), no. 1, 387–406

31) D. Amadori, A. Corli. Glimm estimates for a model of multiphase flow. Preprint 2013

30) Amadori, Debora; Corli, Andrea Solutions for a hyperbolic model of multi-phase flow. Applied mathematics in Savoie—AMIS 2012: Multiphase flow in industrial and environmental engineering, 1–15, ESAIM Proc., 40, EDP Sci., Les Ulis, 2013

29) Amadori, Debora; Gosse, Laurent Transient L1 error estimates for well-balanced schemes on non-resonant scalar balance laws. J. Differential Equations 255 (2013), no. 3, 469–502

28) Amadori, D.; Coclite, G. M. A note on positive solutions for conservation laws with singular source. Proc. Amer. Math. Soc. 141 (2013), no. 5, 1613–1625

27) Amadori, Debora; Shen, Wen A nonlocal conservation law from a model of granular flow. Hyperbolic problems—theory, numerics and applications. Volume 1, 265–272, Ser. Contemp. Appl. Math. CAM, 17, World Sci. Publishing, Singapore, 2012

26) Amadori, Debora; Di Francesco, M. The one-dimensional Hughes model for pedestrian flow: Riemann-type solutions. Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 1, 259–280

25) Amadori, Debora; Shen, Wen An integro-differential conservation law arising in a model of granular flow. J. Hyperbolic Differ. Equ. 9 (2012), no. 1, 105–131

24) Amadori, Debora; Shen, Wen Front tracking approximations for slow erosion. Discrete Contin. Dyn. Syst. 32 (2012), no. 5, 1481–1502

23) Amadori, Debora; Shen, Wen Mathematical aspects of a model for granular flow. Nonlinear conservation laws and applications, 169–179, IMA Vol. Math. Appl., 153, Springer, New York, 2011

22) Amadori, Debora; Shen, Wen The slow erosion limit in a model of granular flow. Arch. Ration. Mech. Anal. 199 (2011), no. 1, 1–31

21) Amadori, Debora; Shen, Wen A hyperbolic model of granular flow. Nonlinear partial differential equations and hyperbolic wave phenomena, 1–18, Contemp. Math., 526, Amer. Math. Soc., Providence, RI, 2010

20) Amadori, Debora; Corli, Andrea Global existence of BV solutions and relaxation limit for a model of multiphase reactive flow. Nonlinear Anal. 72 (2010), no. 5, 2527–2541

19) Amadori, Debora; Corli, Andrea Global solutions for a hyperbolic model of multiphase flow. Hyperbolic problems: theory, numerics and applications, 161–173, Proc. Sympos. Appl. Math., 67, Part 1, Amer. Math. Soc., Providence, RI, 2009

18) Amadori, Debora; Shen, Wen Global existence of large BV solutions in a model of granular flow. Comm. Partial Differential Equations 34 (2009), no. 7-9, 1003–1040

17) Amadori, D.; Corli, A. A hyperbolic model of multiphase flow. Hyperbolic problems: theory, numerics, applications, 407–414, Springer, Berlin, 2008

16) Amadori, D. Homogenization of conservation laws with oscillatory source and nonoscillatory data. Hyperbolic problems: theory, numerics, applications, 299–306, Springer, Berlin, 2008

15) Amadori, Debora; Corli, Andrea On a model of multiphase flow. SIAM J. Math. Anal. 40 (2008), no. 1, 134–166

14) Amadori, Debora; Ferrari, Stefania; Formaggia, Luca Derivation and analysis of a fluid-dynamical model in thin and long elastic vessels. Netw. Heterog. Media 2 (2007), no. 1, 99–125

13) Amadori, Debora; Serre, Denis Asymptotic behavior of solutions to conservation laws with periodic forcing. J. Hyperbolic Differ. Equ. 3 (2006), no. 2, 387–401

12) Amadori, Debora On the homogenization of conservation laws with resonant oscillatory source. Asymptot. Anal. 46 (2006), no. 1, 53–79

11) Amadori, Debora; Gosse, Laurent; Guerra, Graziano Godunov-type approximation for a general resonant balance law with large data. J. Differential Equations 198 (2004), no. 2, 233–274

10) Amadori, Debora; Gosse, Laurent; Guerra, Graziano Global BV entropy solutions and uniqueness for hyperbolic systems of balance laws. Arch. Ration. Mech. Anal. 162 (2002), no. 4, 327–366

9) Amadori, Debora; Guerra, Graziano Uniqueness and continuous dependence for systems of balance laws with dissipation. Nonlinear Anal. 49 (2002), no. 7, Ser. A: Theory Methods, 987–1014

8) Amadori, Debora; Guerra, Graziano Global BV solutions and relaxation limit for a system of conservation laws. Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), no. 1, 1–26

7) Amadori, D.; Guerra, G. Global weak solutions for systems of balance laws. Appl. Math. Lett. 12 (1999), no. 6, 123–127

6) Amadori, D.; Baiti, P.; LeFloch, P. G.; Piccoli, B. Nonclassical shocks and the Cauchy problem for nonconvex conservation laws. J. Differential Equations 151 (1999), no. 2, 345–372

5) Amadori, Debora; Colombo, Rinaldo M. Viscosity solutions and standard Riemann semigroup for conservation laws with boundary. Rend. Sem. Mat. Univ. Padova 99 (1998), 219–245

4) Amadori, Debora; Colombo, Rinaldo M. Continuous dependence for 2×2 conservation laws with boundary. J. Differential Equations 138 (1997), no. 2, 229–266

3) Amadori, Debora Initial-boundary value problems for nonlinear systems of conservation laws. NoDEA Nonlinear Differential Equations Appl. 4 (1997), no. 1, 1–42

2) Amadori, Debora Unstable blow-up patterns. Differential Integral Equations 8 (1995), no. 8, 1977–1996

1) Amadori, D.; Parenti, C. A class of hyperbolic operators with double characteristics. Comm. Partial Differential Equations 19 (1994), no. 7-8, 1185–1201