Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Michele V. Bartuccelli"'
Autor:
Michele V Bartuccelli, Guido Gentile
Publikováno v:
Mathematical Biosciences and Engineering, Vol 19, Iss 8, Pp 8273-8287 (2022)
In this work we investigate the connection between two fundamental features of solutions of partial differential equations (PDEs), namely the crest factor and the length scale associated to each solution. We illustrate how the crest factor of solutio
Externí odkaz:
https://doaj.org/article/c837a3f19aa544c78d3fe836bb98ed01
Autor:
Michele V. Bartuccelli
In this work we have analysed the nature of space fluctuations in dissipative Partial Differential Equations (PDEs). By taking a well known and much investigated dissipative PDE as our representative, namely the Swift–Hohenberg Equation, we estimat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23429d3a5a7a1e7fc63b29bac428f0df
https://surrey.eprints-hosting.org/851988/
https://surrey.eprints-hosting.org/851988/
We consider the Modified Kuramoto-Sivashinky Equation (MKSE) in one and two space dimensions and we obtain explicit and accurate estimates of various Sobolev norms of the solutions. In particular, by using the sharp constants which appear in the func
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::682cfbc00c82d68e2d806b2daf5625ca
https://surrey.eprints-hosting.org/852044/
https://surrey.eprints-hosting.org/852044/
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 29:72-87
We consider dissipative periodically forced systems and investigate cases in which having information as to how the system behaves for constant dissipation may be used when dissipation varies in time before settling at a constant final value. First,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a130a630cab245fe9b9b431d5c160e5e
https://doi.org/10.1016/j.cnsns.2015.04.021
https://doi.org/10.1016/j.cnsns.2015.04.021
Mercury is entrapped in a 3:2 resonance: it rotates on its axis three times for every two revolutions it makes around the Sun. It is generally accepted that this is due to the large value of the eccentricity of its orbit. However, the mathematical mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::699bc3bca424206af908c569c1a099f8
https://surrey.eprints-hosting.org/813906/
https://surrey.eprints-hosting.org/813906/
We consider two forced dissipative pendulum systems, the pendulum with vertically oscillating support and the pendulum with periodically varying length, with a view to draw comparisons between their behaviour. We study the two systems for values of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a27d1d83c46c6ba2a82d1d2a48c8ff3
https://surrey.eprints-hosting.org/813331/
https://surrey.eprints-hosting.org/813331/
Autor:
Michele V. Bartuccelli
Publikováno v:
Journal of Mathematical Analysis and Applications. 411:166-176
In this work we have obtained explicit and accurate estimates of the sup-norm for solutions of the Swift–Hohenberg Equation (SHE) in one and two space dimensions. By using the best (so far) available estimates of the embedding constants which appea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d0cf3e9d7b88f435584e0296c9b9517
https://doi.org/10.1016/j.jmaa.2013.09.027
https://doi.org/10.1016/j.jmaa.2013.09.027
Publikováno v:
Applied Mathematics Letters. 26:1026-1030
We present a class of Hill’s equations possessing explicit solutions through elementary functions. In addition we provide some applications by using some of the paradigmatic systems of classical dynamics, such as the pendulum with variable length.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81bb1607546eff54c725de2c9982fc41
https://doi.org/10.1016/j.aml.2013.05.005
https://doi.org/10.1016/j.aml.2013.05.005
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 143:445-482
We give a comprehensive study of interpolation inequalities for periodic functions with zero mean, including the existence of and the asymptotic expansions for the extremals, best constants, various remainder terms, etc. Most attention is paid to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fe2dff684a635c04025e0f856ad82ce
https://doi.org/10.1017/s0308210511000473
https://doi.org/10.1017/s0308210511000473
We consider a class of parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is relatively high or low. We show that, provided the frequency of the f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::739b22a7a509f18f2dff14c3c8333963
https://hdl.handle.net/11590/313990
https://hdl.handle.net/11590/313990