Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Anton Savostianov"'
Publikováno v:
Entropy, Vol 22, Iss 9, p 945 (2020)
We establish the similarity in two model-based reconstructions of the coupling between the polar magnetic fields of the Sun represented by the solar faculae time series. The reconstructions are inferred from the pair of the coupled oscillators modell
Externí odkaz:
https://doaj.org/article/58138c9eae7b4ea4acba47590577ccd0
Publikováno v:
Transactions of the American Mathematical Society. 374:3093-3129
The paper gives a comprehensive study of infinite-energy solutions and their long-time behavior for semi-linear weakly damped wave equations in R 3 \mathbb {R}^3 with quintic nonlinearities. This study includes global well-posedness of the so-called
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::676544309f3e4f1d6e4eb503b02e2194
https://doi.org/10.1090/tran/8317
https://doi.org/10.1090/tran/8317
Autor:
Sergey Zelik, Anton Savostianov
Publikováno v:
Russian Mathematical Surveys. 75:253-320
This is a detailed study of damped quintic wave equations with non-regular and non-autonomous external forces which are measures in time. In the 3D case with periodic boundary conditions, uniform energy-to- Strichartz estimates are established for th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36db6478fe9a51e5c3cd1b4afbd1f783
https://doi.org/10.1070/rm9932
https://doi.org/10.1070/rm9932
Autor:
Anton Savostianov, Shane Cooper
Publikováno v:
Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 745-787 (2019)
Advances in nonlinear analysis, 2020, Vol.9(1), pp.745-787 [Peer Reviewed Journal]
Advances in nonlinear analysis, 2020, Vol.9(1), pp.745-787 [Peer Reviewed Journal]
Homogenisation of global 𝓐ε and exponential 𝓜ε attractors for the damped semi-linear anisotropic wave equation $\begin{array}{} \displaystyle \partial_t ^2u^\varepsilon + y \partial_t u^\varepsilon-\operatorname{div} \left(a\left( \tfrac{x}{\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36d931a5cfed6a59ead1fdce92a09a7c
https://doi.org/10.1515/anona-2020-0024
https://doi.org/10.1515/anona-2020-0024
Publikováno v:
Entropy
Volume 22
Issue 9
Volume 22
Issue 9
We establish the similarity in two model-based reconstructions of the coupling between the polar magnetic fields of the Sun represented by the solar faculae time series. The reconstructions are inferred from the pair of the coupled oscillators modell
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc40641ac0712c6190044d1106f055ac
Publikováno v:
Entropy, Vol 22, Iss 945, p 945 (2020)
We establish the similarity in two model-based reconstructions of the coupling between the polar magnetic fields of the Sun represented by the solar faculae time series. The reconstructions are inferred from the pair of the coupled oscillators modell
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doajarticles::e360e255320e9b5f03a334b5f96f23c1
https://www.mdpi.com/1099-4300/22/9/945
https://www.mdpi.com/1099-4300/22/9/945
Autor:
Anton Savostianov, Sergey Zelik
Publikováno v:
Mathematical models and methods in applied sciences, 2016, Vol.26(07), pp.1357 [Peer Reviewed Journal]
We prove the global well-posedness of the so-called hyperbolic relaxation of the Cahn–Hilliard–Oono equation in the whole space [Formula: see text] with the nonlinearity of the sub-quintic growth rate. Moreover, the dissipativity and the existenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf0b188c792c632b772a80b14d5375c5
https://doi.org/10.1142/s0218202516500329
https://doi.org/10.1142/s0218202516500329
Publikováno v:
Annales Henri Poincaré, 2016, Vol.17(9), pp.2555-2584 [Peer Reviewed Journal]
The dissipative wave equation with a critical quintic non-linearity in smooth bounded three-dimensional domain is considered. Based on the recent extension of the Strichartz estimates to the case of bounded domains, the existence of a compact global
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aed5b8ccde5f5aee65259e4ebd421fc1
https://doi.org/10.1007/s00023-016-0480-y
https://doi.org/10.1007/s00023-016-0480-y
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 83:105149
The objective of this paper is to establish that algorithms, which reconstruct the coupling between solar proxies based on the properties of the Kuramoto equations, and algorithms, based on the van der Pol equations, might produce similar estimates.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d105d04ac2284a46aa269c96dc5b77de
https://doi.org/10.1016/j.cnsns.2019.105149
https://doi.org/10.1016/j.cnsns.2019.105149
Autor:
Anton Savostianov, Sergey Zelik
Publikováno v:
Asymptotic analysis, 2014, Vol.87(3-4), pp.191-221 [Peer Reviewed Journal]
Dissipative wave equations with critical quintic nonlinearity and damping term involving the fractional Laplacian are considered. The additional regularity of energy solutions is established by constructing the new Lyapunov-type functional and based
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d07dcfd274e27cf212a5b9a2d74c0586
https://doi.org/10.3233/asy-131208
https://doi.org/10.3233/asy-131208