Zobrazeno 1 - 10
of 104
pro vyhledávání: '"Atanas Stefanov"'
Autor:
Atanas Stefanov
Publikováno v:
Electronic Journal of Differential Equations, Vol 2007, Iss 150, Pp 1-9 (2007)
We show that the 2D quasi-geostrophic equation has global and unique strong solution when the (large) data belongs in the critical scale invariant space $dot{B}^{2-2alpha}_{2, infty}cap L^{2/(2alpha-1)}$.
Externí odkaz:
https://doaj.org/article/dc813ec74de94b2fa21aed2f23b16d43
Autor:
Atanas Stefanov, Stefan Stefanov
In this work, we search for negative superhumps (nSHs) in poorly studied cataclysmic variables using TESS data. We find three eclipsing binaries with nSH signatures: HBHA 4204-09, Gaia DR3 5931071148325476992, and SDSS J090113.51+144704.6. The last o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89c5908fe8af826aff4554dc74eec19a
http://arxiv.org/abs/2301.08581
http://arxiv.org/abs/2301.08581
Publikováno v:
Mathematische Annalen.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa2eb11bd0b47c1254abe33e72de0cd9
https://doi.org/10.1007/s00208-022-02492-8
https://doi.org/10.1007/s00208-022-02492-8
This volume contains the reports presented on the Scientific Conference withinternational participation MATTEX 2022 held at Konstantin Preslavsky University ofShumen in May 2022. The reports contain the results of the research of lecturers, PhDstuden
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afd9f5390947f8e4c609e03f7ce230b2
Autor:
Sevdzhan Hakkaev, Atanas Stefanov
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 151:1171-1203
We consider the focussing fractional periodic Korteweg–deVries (fKdV) and fractional periodic non-linear Schrödinger equations (fNLS) equations, with L2 sub-critical dispersion. In particular, this covers the case of the periodic KdV and Benjamin-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d59c334bd30336ec0f5edf6b83e7aca
https://doi.org/10.1017/prm.2020.54
https://doi.org/10.1017/prm.2020.54
Autor:
Atanas Stefanov, Milena Stanislavova
Publikováno v:
Journal of Evolution Equations. 21:671-697
The classical Schrodinger equation with a harmonic trap potential $$V(x)=|x|^2$$ , describing the quantum harmonic oscillator, has been studied quite extensively in the last 20 years. Its ground states are bell-shaped and unique, among localized posi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fecb38945e7c4c73c7a2b216cbf43dbe
https://doi.org/10.1007/s00028-020-00596-9
https://doi.org/10.1007/s00028-020-00596-9
Autor:
Iurii Posukhovskyi, Atanas Stefanov
Publikováno v:
Studies in Applied Mathematics. 144:548-575
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c94c8e04d21adf1c79590cce7f416137
https://doi.org/10.1111/sapm.12309
https://doi.org/10.1111/sapm.12309
We analyze the Benney model for interaction of short and long waves in resonant water wave interactions. Our particular interest is in the periodic traveling waves, which we construct and study in detail. The main results are that, for all natural va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad42991e764b661517bcad41a4e00bb8
Autor:
Atanas Stefanov
Publikováno v:
Communications in Mathematical Physics. 369:929-971
For each $$\lambda >0$$ and under necessary conditions on the parameters, we construct normalized waves for second order PDE’s with mixed power non-linearities, with $$\Vert u\Vert _{L^2({{\mathbf {R}}}^n)}^2=\lambda , n\ge 1$$ . We show that these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8fba8b34d12899f50d213bfdba807fce
https://doi.org/10.1007/s00220-019-03484-7
https://doi.org/10.1007/s00220-019-03484-7
Autor:
Fazel Hadadifard, Atanas Stefanov
Publikováno v:
Journal of Nonlinear Science. 29:2231-2296
We compute the sharp time decay rates of the solutions of the IVP for quasi-geostrophic equation and the Boussinesq model, subject to fractional dissipation. Moreover, we explicitly identify the asymptotic profiles, the kernel of the $$\alpha $$ stab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f82cf903cbe2e6a6f473f33cb8d65e4
https://doi.org/10.1007/s00332-019-09543-6
https://doi.org/10.1007/s00332-019-09543-6