Well-posedness of the classical solutions for a Kawahara–Korteweg–de Vries-type equation
GM Coclite, L di Ruvo - Journal of Evolution Equations, 2021 - Springer
Abstract The Kawahara–Korteweg–de Vries-type equation occurs in the modelization of
magneto-acoustic waves in plasmas and propagation of nonlinear water waves in the long …
magneto-acoustic waves in plasmas and propagation of nonlinear water waves in the long …
On the solutions for an Ostrovsky type equation
GM Coclite, L di Ruvo - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
On the solutions for an Ostrovsky type equation - ScienceDirect Skip to main contentSkip to
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Dispersive and diffisive limts for Otrovsky-Hunter type equation
GM Coclite, L di Ruvo - arXiv preprint arXiv:1411.0989, 2014 - arxiv.org
We consider the Ostrovsky-Hunter type equation that includes the short pulse. We con-sider
here the asymptotic behavior as gamma goes to 0. The proof relies on deriving suitable a …
here the asymptotic behavior as gamma goes to 0. The proof relies on deriving suitable a …
Conservation laws with time dependent discontinuous coefficients
GM Coclite, NH Risebro - SIAM journal on mathematical analysis, 2005 - SIAM
We consider scalar conservation laws where the flux function depends discontinuously on
both the spatial and temporal locations. Our main results are the existence and well …
both the spatial and temporal locations. Our main results are the existence and well …
On H 2-solutions for a Camassa-Holm type equation
GM Coclite, L di Ruvo - Open Mathematics, 2023 - degruyter.com
Camassa-Holm type equations arise as models for the unidirectional propagation of shallow
water waves over a flat bottom. They also describe finite length, small amplitude radial …
water waves over a flat bottom. They also describe finite length, small amplitude radial …
[PDF][PDF] On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation
GM Coclite, L di Ruvo - Math. Eng, 2020 - aimspress.com
The Kuramoto-Sinelshchikov equation describes the evolution of a phase turbulence in
reaction-diffusion systems or the evolution of the plane flame propagation, taking in account …
reaction-diffusion systems or the evolution of the plane flame propagation, taking in account …
Linear instability and uniqueness of the peaked periodic wave in the reduced Ostrovsky equation
A Geyer, D Pelinovsky - SIAM Journal on Mathematical Analysis, 2019 - SIAM
The stability of the peaked periodic wave in the reduced Ostrovsky equation has remained
an open problem for a long time. In order to solve this problem we obtain sharp bounds on …
an open problem for a long time. In order to solve this problem we obtain sharp bounds on …
[HTML][HTML] Oleinik type estimates for the Ostrovsky–Hunter equation
GM Coclite, L di Ruvo - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
Abstract The Ostrovsky–Hunter equation provides a model of small-amplitude long waves in
a rotating fluid of finite depth. This is a nonlinear evolution equation. In this study, we …
a rotating fluid of finite depth. This is a nonlinear evolution equation. In this study, we …
[HTML][HTML] A singular limit problem for conservation laws related to the Rosenau–Korteweg–de Vries equation
GM Coclite, L di Ruvo - Journal de Mathématiques Pures et Appliquées, 2017 - Elsevier
Abstract We consider the Rosenau–Korteweg–de Vries equation, which contains nonlinear
dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the …
dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the …
On the well-posedness of a high order convective Cahn-Hilliard type equations
GM Coclite, L di Ruvo - Algorithms, 2020 - mdpi.com
High order convective Cahn-Hilliard type equations describe the faceting of a growing
surface, or the dynamics of phase transitions in ternary oil-water-surfactant systems. In this …
surface, or the dynamics of phase transitions in ternary oil-water-surfactant systems. In this …