Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Natalia Kolkovska"'
Autor:
Natalia Kolkovska, Veselina Vucheva
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-16 (2019)
Abstract We propose and study two finite difference schemes (FDSs) for the double dispersion equations. The first FDS is symplectic, while the second one preserves the discrete momentum exactly. Both FDS conserve the discrete energy approximately wit
Externí odkaz:
https://doaj.org/article/3c6e356752e749efa4aa5eafbcf7f4cd
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 68,, Pp 1-16 (2018)
We study a new class of ordinary differential equations with blow up solutions. Necessary and sufficient conditions for finite blow up time are proved. Based on the new differential equation, a revised version of the concavity method of Levine is
Externí odkaz:
https://doaj.org/article/18dfa2d293c1496f9b7baf832bed38b1
Publikováno v:
Mathematics, Vol 9, Iss 12, p 1398 (2021)
We consider the orbital stability of solitary waves to the double dispersion equation utt−uxx+h1uxxxx−h2uttxx+f(u)xx=0,h1>0,h2>0 with combined power-type nonlinearity f(u)=a|u|pu+b|u|2pu,p>0,a∈R,b∈R,b≠0. The stability of solitary waves with
Externí odkaz:
https://doaj.org/article/de087c7b4d4e4d7499fcb060df24c0ba
Publikováno v:
Numerical Methods and Applications ISBN: 9783031324116
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7fc7e14c0d3fb06a346bfe9f4a2ce33
https://doi.org/10.1007/978-3-031-32412-3_29
https://doi.org/10.1007/978-3-031-32412-3_29
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783031214837
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ef75da1898cbf63ff4a75609706a394
https://doi.org/10.1007/978-3-031-21484-4_8
https://doi.org/10.1007/978-3-031-21484-4_8
Publikováno v:
EIGHTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES2021).
Publikováno v:
Advanced Computing in Industrial Mathematics ISBN: 9783030716158
Finite time blow up of the solutions to double dispersive equations with linear restoring force and supercritical initial energy is proved without any sign conditions on the scalar product \(\left\langle u_0,u_1\right\rangle \) of the initial data \(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b92513652a4f2a711860bada4d649ff
https://doi.org/10.1007/978-3-030-71616-5_21
https://doi.org/10.1007/978-3-030-71616-5_21
Autor:
Natalia Kolkovska, Veselina Vucheva
Publikováno v:
Advanced Computing in Industrial Mathematics ISBN: 9783030716158
We propose a symplectic finite difference scheme for the Boussinesq equations with sixth order dispersion terms. This scheme conserves exactly the discrete mass and approximately with error \(O(h^2+\tau ^2)\) the discrete Hamiltonian. The numerical e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e4894e69c4406569bf12baea5091885
https://doi.org/10.1007/978-3-030-71616-5_37
https://doi.org/10.1007/978-3-030-71616-5_37
Autor:
Natalia Kolkovska, V. Vucheva
Publikováno v:
SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020).
In this paper a finite difference scheme for the one-dimensional double dispersion equation is constructed and studied. The scheme is based on the representation of this equation as a generalized Hamiltonian system. After applying the partitioned Run
Publikováno v:
Mathematics and Computers in Simulation. 133:249-264
The solitary waves to the double dispersion equation with quadratic-cubic nonlinearity are explicitly constructed. Grillakis, Shatah and Strauss’ stability theory is applied for the investigation of the orbital stability or instability of solitary