PUBLICATIONS

R. Folino, A. Naumkina and R. G. Plaza. Instability of periodic waves for the Korteweg–de Vries–Burgers equation with monostable source. ​Physica D, 467 (2024), article 134234.  DOI  arXiv

R. Folino and C. Lattanzio. Minimization of a Ginzburg-Landau functional with mean curvature operator in 1-D. Nonlinear Analysis, 245 (2024), article 113577. DOI  arXiv 

A. De Luca, R. Folino and M. Strani. Layered patterns in reaction–diffusion models with Perona-Malik diffusions. Milan J. Math., 92 (2024), 195-234.  DOI  arXiv

R. Folino, R. G. Plaza and D. Zhelyazov. Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity.  J. Differential Equations, 359 (2023), 330-364. DOI  arXiv

R. Folino and M. Strani. On reaction-diffusion models with memory and mean curvature-type diffusion.  J. Math. Anal. Appl., 522 (2023), article 127027. DOI

R. Folino, R. G. Plaza and D. Zhelyazov. Spectral stability of small-amplitude dispersive shocks in quantum hydrodynamics with viscosity. Commun. Pure Appl. Anal., 21 (2022), 4019-4040. DOI  arXiv

R. Folino, L. Lopez Rios and M. Strani. On a generalized Cahn-Hilliard model with p-Laplacian. Adv. Differential Equations, 27 (2022), 647-682. DOI  arXiv

R. Folino, L. Lopez Rios and R. G. Plaza. Long-time behavior of solutions to the generalized Allen-Cahn model with degenerate diffusivity. Nonlinear Differ. Equ. Appl., 29 (2022), article 45. DOI  arXiv

R. Folino. Exponentially slow motion for a one-dimensional Allen-Cahn equation with memory. Rend. Mat. Appl. (7), 42 (2021), 253-270. DOI

R. Folino, R. G. Plaza and M. Strani. Long time dynamics of solutions to p-Laplacian diffusion problems with bistable reaction terms. Discrete Contin. Dyn. Syst., 41 (2021), 3211-3240. DOI  arXiv

R. Folino, Metastable dynamics for a hyperbolic variant of the mass conserving Allen-Cahn equation in one space dimension. J. Differential Equations, 276 (2021), 493-532. DOI  arXiv 

R. Folino, C. Lattanzio and C. Mascia. Metastability and layer dynamics for the hyperbolic relaxation of the Cahn-Hilliard equation.  J. Dyn. Diff. Equat., 33 (2021), 75-110.   DOI  arXiv

R. Folino, R. G. Plaza and M. Strani. Metastable patterns for a reaction-diffusion model with mean curvature-type diffusion.  J. Math. Anal. Appl., 493 (2021), article 124455. DOI  arXiv

R. Folino, C. A. Hernández Melo, L. Lopez Rios and R. G. Plaza. Exponentially slow motion of interface layers for the one-dimensional Allen-Cahn equation with nonlinear phase-dependent diffusivity. Z. Angew. Math. Phys., 71 (2020), article 132. DOI  arXiv

R. Folino, C. Lattanzio and C. Mascia. Motion of interfaces for a damped hyperbolic Allen-Cahn equation. Commun. Pure Appl. Anal., 19 (2020), 4507-4543.    DOI  arXiv

R. Folino and M. Strani. On the speed rate of convergence of solutions to conservation laws with nonlinear diffusions. Nonlinear Analysis, 196 (2020), article 111762. DOI  arXiv

R. Folino, M. Garrione and M. Strani. Stability properties and dynamics of solutions to viscous conservation laws with mean curvature operator. J. Evol. Equ., 20 (2020), 517-551. DOI  arXiv

R. Folino. Slow motion for one-dimensional nonlinear damped hyperbolic Allen-Cahn systems. Electron. J. Differential Equations, Vol. 2019 (2019), No. 113, pp. 1-21. DOI  arXiv

R. Folino, C. Lattanzio and C. Mascia. Slow dynamics for the hyperbolic Cahn-Hilliard equation in one-space dimension. Math. Meth. Appl. Sc., 42 (2019), 2492-2512. DOI  arXiv

R. Folino, C. Lattanzio and C. Mascia. Metastable dynamics for hyperbolic variations of the Allen-Cahn equation. Commun. Math. Sci., 15 (2017), 2055-2085.   DOI  arXiv

R. Folino, C. Lattanzio, C. Mascia and M. Strani. Metastability for nonlinear convection-diffusion equations. Nonlinear Differ. Equ. Appl., 24 (2017), article 35. DOI

R. Folino. Slow motion for a hyperbolic variation of Allen-Cahn equation in one space dimension.  J. Hyperbolic Differ. Equ., 14 (2017), 1-26.​ DOI  arXiv