
Publications
(preprints, articles, proceedings...)
Last update: 07/10/2015

Preprints
01.
Slow motion for compressible isentropic
NavierStokes equations,
with M.Strani.
02.
Metastable dynamics for hyperbolic variations of AllenCahn equation,
with R. Folino and C. Lattanzio.
03.
Assessment of PredictorCorrector strategy for the BurridgeKnopoff model,
with P. Moschetta.
04.
Metastability for nonlinear convectiondiffusion equations,
with R.Folino, C.Lattanzio, M.Strani.

Articles
31.
Analysis of a Mogitype model describing surface deformations induced by a
magma chamber embededded in an elastic halfspace,
with A.Aspri, E.Beretta,
Journal de l'Ècole Polytechnique 4 (2017) 223255.
30.
Analytical and numerical invesigation of traveling waves
for an AllenCahn model with relaxation,
with C.Lattanzio, R.Plaza, C.Simeoni,
Mathematical Models and Methods in the Applied Sciences 26 (2016) no.5, 931985.
29.
Asymptotic expansion for harmonic functions in the halfspace
with a pressurized cavity,
with A.Aspri, E.Beretta,
Mathematical Methods in the Applied Sciences 39 (2016) no.10, 24152430.
28.
Velocityjump processes with a finite number of speeds
and their asymptotically parabolic nature
Journal of Differential Equations 160 (2016) 401426.
27.
Twentyeight years with ``Hyperbolic Conservation Laws with Relaxation'',
Acta Mathematica Scientia 35 (2015) no.4, 807831.
26.
Stability analysis for linear heat conduction with memory kernels
described by Gamma functions,
Discrete and Continuous Dynamical Systems A 35 (2015) no.8, 35693584.
25.
Metastability for scalar conservation
laws in a bounded domain,
with M.Strani,
SIAM Journal on Mathematical Analysis 45 (2013) no.5, 30843113.
24.
Small, medium and large shock waves for
nonequilibrium radiation hydrodynamics,
Physica D: Nonlinear Phenomena 245 (2013) 4656.
23.
Numerical exploration of a forwardbackward
diffusion equation,
with P.Lafitte,
Mathematical Models and Methods in the Applied Sciences 22 (2012), no.3.
22.
On relaxation hyperbolic systems violating the
ShizutaKawashima condition,
with R.Natalini,
Archive Rational Mech. Anal. 195 (2010), no. 3, 729762.
21.
Stability
of scalar radiative shock profiles,
with C.Lattanzio, T.Nguyen, R.G.Plaza, K.Zumbrun,
SIAM J. Math. Anal. 41 (2009) no.6, 21652206.
20.
Stability
of constant states and qualitative behavior of solutions to a one
dimensional hyperbolic model for chemotaxis,
with F.R.Guarguaglini, R.Natalini, M.Ribot,
Discrete Contin. Dyn. Syst. Ser. B 12 (2009), no. 1, 3976.
19.
Twophase entropy solutions of a
forwardbackward parabolic equation,
with A.Terracina, A.Tesei,
Archive Rational Mech. Anal. 194 (2009), no.3, 887925.
18.
Spectral stability of weak
relaxation shock profiles, with K.Zumbrun,
Communications Partial Differential Equations 34 (2009), no. 2, 119136.
17.
Front speeds in the vanishing diffusion limit for
reactiondiffusionconvection equations, with E.C.M.Crooks,
Differential Integral Equations 20 (2007), no. 5, 499514.
16.
Shock waves for radiative
hyperbolicelliptic systems, with C.Lattanzio, D.Serre,
Indiana Univ. Math. J. 56 (2007), no.5, 26012639.
15.
Qualitative behaviour for onedimensional strongly degenerate
parabolic problems, with A.Porretta, A.Terracina,
Interfaces Free Boundaries 8 (2006) 263280.
14.
Stability of largeamplitude shock profiles of general
relaxation systems, with K.Zumbrun,
SIAM J. Math. Anal. 37(3) (2005) 889913.
13.
Front formation and motion in quasilinear
parabolic equations, with J.Haerterich,
J. Math. Anal. Appl. 307 (2005) 395414.
12.
Stability of large amplitude viscous shock profiles
of hyperbolicparabolic systems, with K.Zumbrun,
Archive Rational Mech. Anal. 172 (2004) 93131.
11.
Stability of viscous shock profiles for dissipative
symmetric hyperbolicparabolic systems, with K.Zumbrun,
Communications Pure Appl. Math. 52 (2004) 841876.
10.
Pointwise Green's function bounds for shock profiles
with degenerate viscosity, with K.Zumbrun,
Archive Rational Mech. Anal., 169(3) (2003), 177263.
09.
Pointwise Green's function bounds and stability of
relaxation shocks, with K.Zumbrun,
Indiana Univ. Math. Journal, 51(4) (2002), 773904.
08.
Nonhomogeneous Dirichlet problems for degenerate
parabolichyperbolic equations, with A.Porretta, A.Terracina,
Archive Rational Mech. Anal., 163 (2002), 87124.
07.
First order singular perturbations of quasilinear
nonconvex type,
J. Diff. Equations, 181 (2002), 3157.
06.
Qualitative behavior of conservation Laws with reaction
term and nonconvex flux,
Quarterly Appl. Math. 58 (2000), n.4, 739761.
05.
Largetime behavior for conservation laws with source
in a bounded domain, with A.Terracina,
J. Diff. Equations 159 (1999), no. 2, 485514.
04.
Continuity in finite time of entropy solutions for
nonconvex conservation laws with reaction term,
Comm. Part. Diff. Eq. 23:56(1998), 913931.
03.
The perturbed Riemann problem for a balance
law, with C.Sinestrari,
Advances Diff. Equations 2(5), (1997), 779810.
02.
Travelling wave solutions for a balance law,
Proc. Roy. Soc. Edinburgh 127A (1997), 567593.
01.
L^1 Nonlinear Stability of Travelling Waves for a
Hyperbolic System with Relaxation, with R.Natalini,
J. Diff. Equations 132 (1996), 275292.

Proceedings and others
09.
A dive into shallow water,
Riv. Math. Univ. Parma (N.S.) 1 (2010), no. 1, 77149.
08.
Stability and instability issues for relaxation
shock profiles,
in "Hyperbolic Problems: Theory, Numerics, Applications",
BenzoniGavage, Sylvie; Serre, Denis (Eds.) 2008.
07.
Nonlinear hyperbolicelliptic coupled systems
arising in radiation dynamics, with C.Lattanzio, D.Serre,
in "Hyperbolic Problems: Theory, Numerics, Applications",
BenzoniGavage, Sylvie; Serre, Denis (Eds.) 2008.
06.
Transition between stable phases in
forwardbackward parabolic equations,
with A.Terracina and A.Tesei,
in "Asymptotic analysis and singularities  elliptic and parabolic PDEs and
related problems", 451478,
Adv. Stud. Pure Math., 472, Math. Soc. Japan, Tokyo, 2007.
05.
Asymptotic stability of steadystates for
SaintVenant equations with real viscosity, with F.Rousset,
in "Analysis and simulation of fluid dynamics", 155162,
Adv. Math. Fluid Mech., Birkhauser, Basel, 2007.
04.
Onedimensional stability of viscous shock and
relaxation profiles, with K.Zumbrun,
in "Hyperbolic problems: theory, numerics, applications", 727733,
Springer, Berlin, 2003.
03.
Onde viaggianti ed equazioni di
reazioneconvezione (in italian),
Boll. U.M.I. (8) 2A Suppl. (1999), 111114.
02.
Onde viaggianti ed equazioni di
reazioneconvezione (in italian), PhD Thesis (1997).
01.
Stabilita' asintotica di onde di shock per leggi di
conservazione perturbate singolarmente,
Ann. Univ. Ferrara, Sez. VII, Sci. Mat., Suppl. Vol.XLI, (1996) 235244.

