Research Activity

Papers and Preprints

1. Stability properties of the steady state for the isentropic compressible Navier-Stokes equations with density dependent viscosity in bounded intervals, M. Strani, Comm. Math. Sci. (2022), 20(1), 231-264.

2. Dispersive stabilization for phase transitions, F. Cacciafesta, M. Strani, B. Texier, Pure and Applied Analysis (2021), 3(4).

3. Long time dynamics of solutions to $p$-Laplacian diffusion problems with bistable reaction terms, R. Folino, R.G. Plaza, M. Strani, DCDS-A (2021), 41(7), 3211-3240.

4. Metastable patterns for a reaction-diffusion model with mean curvature-type diffusion, R. Folino, R.G. Plaza, M. Strani, Journal of Mathematical Analysis and Applications (2021), 493(1), 124455.

5. A note on the slow convergence of solutions to viscous conservation laws with mean curvature operator, M. Strani, Complex Variable and Elliptic Equations (2021), 66(1), 53-70.

6. On the speed rate of convergence of solutions to conservation laws with nonlinear diffusions, R. Folino, M. Strani, Nonlinear Analysis, Theory, Methods and Applications (2020), 196, 111762.

7. Stability properties and dynamics of solutions to viscous conservation laws with mean curvature operator, R. Folino, M. Garrione, M. Strani, J. Evol. Eq. (2020), 20(2), pp. 517–551.

8. Transition from hyperbolicity to ellipticity for a p-system with viscosity, M. Strani, Electronic J. Diff. Eq. (2019) Vol. 2019, no. 16, 1-14.

9. A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation, L. De Luca, M. Goldman, M. Strani, Math. Ann., 374(2019), no. 3-4, 2041-2081.

10. Monotone wave fronts for (p, q)-Laplacian driven reaction-diffusion equations, M. Garrione, M. Strani, DCDS-S, 12 (2019), no. 1., 91-103

11. Heteroclinic traveling fronts for a generalized Fisher-Burgers equation with saturating diffusion, M. Garrione, M. Strani, Indiana Univ. Math, J. (2019), 68(6), 1767-1799.

12. Asymptotic behaviour of interface solutions to quasilinear parabolic equations, L.M. De Cave, M. Strani, Riv. Mat. Univ. Parma, 9 (2018), no. 1, 85-131.

13. Semigroup estimates and fast-slow dynamics in parabolic-hyperbolic systems, M. Strani, Adv. Nonlinear Anal., 7 (2018), no. 1, 117-138.

14. Metastability for nonlinear convection-diffusion equations, R. Folino, C. Lattanzio, C. Mascia, M. Strani, NoDEA 24 (2017), no. 4, Art.35, 20pp.

15. Loss of hyperbolicity and exponential growth for the viscous Burgers equation with complex forcing terms, M. Strani, J. Funct. Analysis 273 (2017), no.1, pp. 1-40.

16. Dirichlet boundary conditions for degenerate and singular nonlinear parabolic equations, F. Punzo, M. Strani, Potential Anal., 47 (2017), no. 2, pp. 151-168.

17. Existence of solutions for a non-variational singular elliptic system, L.M. de Cave, F. Oliva, M. Strani, Math. Nach., 290 (2016), no. 2-3, pp. 236-247.

18. Long time dynamics of layered solutions to the shallow water equations, M. Strani, Bull. Braz. Math. Soc. New Series, 47(2), (2016) 1-13.

19. Slow dynamics in reaction-diffusion systems, M. Strani, Asymptotic Analysis, 98 (2016) 131-154.

20. Metastable dynamics of internal interfaces for a convection-reaction-diffusion equation, M. Strani, Nonlinearity, 28 (2015) 4331-4368.

21. Time-delayed instabilities in complex Burgers equations, M. Strani, B. Texier, SIAM J. Math. Anal., 47 (2015), no.4, pp. 2495-2518.

22. Slow motion of internal shock layers for the Jin-Xin system in one space dimension, M. Strani, J. Dyn. Diff. Equations, 27 (2015), no. 1, pp. 1-27.

23. On the metastable behavior of solutions to a class of parabolic systems, M.Strani, Asymptotic Analysis, 90 (2014), no. 3-4, pp. 325-344.

24. Existence and uniqueness of a positive connection for the scalar viscous shallow water system in a bounded interval, M. Strani, Comm. Pure Appl. Anal., 13 (2014), no. 4, pp. 1653-1667.

25. Metastability for nonlinear parabolic equations with applications to viscous scalar conservation laws, C. Mascia, M. Strani, SIAM J. Math. Anal., 45 (2013), no. 5, pp. 3084-3113.

Proceedings

1. Metastable dynamics of interfaces fo the hyperbolic Jin-Xin system, M. Strani, AIMS on Applied Mathematics, Vol. 8. Proceedings of Hyp2012 - the 14th International Conference on Hyperbolic Problems, Padova, Italy.

2. Metastability for scalar conservation laws in a bounded domain, C. Mascia, M. Strani, ESAIM: PROCEEDINGS AND SURVEYS, September 2014, Vol. 45, p. 247-254. Actes congres SMAI 2013, Seignosse (Landes), France.