# zbMATH — the first resource for mathematics

## Stanislavova, Milena

Compute Distance To:
 Author ID: stanislavova.milena Published as: Stanislavova, M.; Stanislavova, Milena
 Documents Indexed: 38 Publications since 1995
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#### Co-Authors

 4 single-authored 23 Stefanov, Atanas G. 8 Hakkaev, Sevdzhan A. 6 Demirkaya, Aslihan 3 Feng, Wen 2 Kevrekidis, Panayotis G. 2 Malhi, Satbir 1 Kapitula, Todd M. 1 Wang, Bixiang 1 Zhivkov, Angel
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#### Serials

 4 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Physics 3 Studies in Applied Mathematics 2 Physica D 2 Journal of Evolution Equations 1 Communications in Mathematical Physics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Differential and Integral Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 The Journal of Fourier Analysis and Applications 1 Godishnik na Universiteta po Arkhitektura, Stroitelstvo i Geodeziya Sofiya. Svitk II. Matematika, Mekhanika 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Dynamics of Partial Differential Equations 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Fields

 32 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

32 Publications have been cited 154 times in 118 Documents Cited by Year
Asymptotic smoothing and attractors for the generalized Benjamin-Bona-Mahony equation on $$\mathbb R^3$$. Zbl 1160.35354
Stanislavova, Milena; Stefanov, Atanas; Wang, Bixiang
2005
A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations. Zbl 0969.35123
Gesztesy, F.; Jones, C. K. R. T.; Latushkin, Y.; Stanislavova, M.
2000
Linear stability analysis for travelling waves of second order in time PDE’s. Zbl 1259.35032
Stanislavova, Milena; Stefanov, Atanas
2012
On the global attractor for the damped Benjamin-Bona-Mahony equation. Zbl 1162.35328
Stanislavova, Milena
2005
The spectrum of a linearized 2D Euler operator. Zbl 1141.35437
Latushkin, Y.; Li, Y. C.; Stanislavova, M.
2004
Regularity of ground state solutions of dispersion managed nonlinear Schrödinger equations. Zbl 1072.35172
Stanislavova, M.
2005
Spectral stability analysis for special solutions of second order in time PDEs: the higher-dimensional case. Zbl 1286.35033
Stanislavova, Milena; Stefanov, Atanas
2013
Transverse instability for periodic waves of KP-I and Schroedinger equations. Zbl 1273.35045
Stefanov, Atanas; Stanislavova, Milena; Hakkaev, Zevdzhan
2012
Attractors for the viscous Camassa-Holm equation. Zbl 1387.35502
Stanislavova, Milena; Stefanov, Atanas
2007
On global finite energy solutions of the Camassa-Holm equation. Zbl 1175.35129
Stanislavova, Milena; Stefanov, Atanas
2005
Spectral stability for classical periodic waves of the Ostrovsky and short pulse models. Zbl 1373.35246
Hakkaev, S.; Stanislavova, M.; Stefanov, A.
2017
Periodic traveling waves of the regularized short pulse and Ostrovsky equations: existence and stability. Zbl 1361.35038
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2017
On the spectral problem $$\mathcal{L}u=\lambda u'$$ and applications. Zbl 1427.47010
Stanislavova, Milena; Stefanov, Atanas
2016
On the spectral stability of kinks in some $$\mathcal{PT}$$-symmetric variants of the classical Klein-Gordon field theories. Zbl 1304.35608
Demirkaya, A.; Kapitula, T.; Kevrekidis, P. G.; Stanislavova, M.; Stefanov, A.
2014
Asymptotic stability for spectrally stable Lugiato-Lefever solitons in periodic waveguides. Zbl 1402.78020
Stanislavova, Milena; Stefanov, Atanas G.
2018
Linear stability analysis for periodic travelling waves of the Boussinesq equation and the Klein-Gordon-Zakharov system. Zbl 1293.35243
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2014
Orbital stability for periodic standing waves of the Klein-Gordon-Zakharov system and the beam equation. Zbl 1270.35082
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2013
Conditional stability theorem for the one dimensional Klein-Gordon equation. Zbl 1272.81056
Demirkaya, Aslihan; Stanislavova, Milena
2011
Asymptotic estimates and stability analysis of Kuramoto-Sivashinsky type models. Zbl 1257.35040
Stanislavova, Milena; Stefanov, Atanas
2011
Diffraction managed solitons with zero mean diffraction. Zbl 1125.49005
Stanislavova, Milena
2007
On the spectral stability of ground states of semi-linear Schrödinger and Klein-Gordon equations with fractional dispersion. Zbl 1393.35270
Feng, Wen; Stanislavova, Milena; Stefanov, Atanas
2018
Spectral stability for subsonic traveling pulses of the Boussinesq “abc” system. Zbl 1282.35119
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2013
On precise center stable manifold theorems for certain reaction-diffusion and Klein-Gordon equations. Zbl 1180.37116
Stanislavova, Milena; Stefanov, Atanas
2009
On the energy decay rates for the 1D damped fractional Klein-Gordon equation. Zbl 07198943
Malhi, Satbir; Stanislavova, Milena
2020
On the generation of stable Kerr frequency combs in the Lugiato-Lefever model of periodic optical waveguides. Zbl 1412.35307
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas G.
2019
Numerical results on existence and stability of standing and traveling waves for the fourth order beam equation. Zbl 1406.35391
Demirkaya, Aslihan; Stanislavova, Milena
2019
On the vortices for the nonlinear Schrödinger equation in higher dimensions. Zbl 1402.35259
Feng, Wen; Stanislavova, Milena
2018
When is the energy of the 1D damped Klein-Gordon equation decaying? Zbl 1404.35052
Malhi, Satbir; Stanislavova, Milena
2018
On the stability of standing waves for $$\mathcal {PT}$$ symmetric Schrödinger and Klein-Gordon equations in higher space dimensions. Zbl 1406.35047
Stanislavova, Milena; Stefanov, Atanas
2017
Linear stability of solitary waves for the one-dimensional Benney-Luke and Klein-Gordon equations. Zbl 1309.35117
Stanislavova, Milena
2015
Long time behavior for radially symmetric solutions of the Kuramoto-Sivashinsky equation. Zbl 1197.35049
Demirkaya, Aslihan; Stanislavova, Milena
2010
Effective estimates of the higher Sobolev norms for the Kuramoto-Sivashinsky equation. Zbl 1190.35045
Stanislavova, Milena; Stefanov, Atanas
2009
On the energy decay rates for the 1D damped fractional Klein-Gordon equation. Zbl 07198943
Malhi, Satbir; Stanislavova, Milena
2020
On the generation of stable Kerr frequency combs in the Lugiato-Lefever model of periodic optical waveguides. Zbl 1412.35307
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas G.
2019
Numerical results on existence and stability of standing and traveling waves for the fourth order beam equation. Zbl 1406.35391
Demirkaya, Aslihan; Stanislavova, Milena
2019
Asymptotic stability for spectrally stable Lugiato-Lefever solitons in periodic waveguides. Zbl 1402.78020
Stanislavova, Milena; Stefanov, Atanas G.
2018
On the spectral stability of ground states of semi-linear Schrödinger and Klein-Gordon equations with fractional dispersion. Zbl 1393.35270
Feng, Wen; Stanislavova, Milena; Stefanov, Atanas
2018
On the vortices for the nonlinear Schrödinger equation in higher dimensions. Zbl 1402.35259
Feng, Wen; Stanislavova, Milena
2018
When is the energy of the 1D damped Klein-Gordon equation decaying? Zbl 1404.35052
Malhi, Satbir; Stanislavova, Milena
2018
Spectral stability for classical periodic waves of the Ostrovsky and short pulse models. Zbl 1373.35246
Hakkaev, S.; Stanislavova, M.; Stefanov, A.
2017
Periodic traveling waves of the regularized short pulse and Ostrovsky equations: existence and stability. Zbl 1361.35038
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2017
On the stability of standing waves for $$\mathcal {PT}$$ symmetric Schrödinger and Klein-Gordon equations in higher space dimensions. Zbl 1406.35047
Stanislavova, Milena; Stefanov, Atanas
2017
On the spectral problem $$\mathcal{L}u=\lambda u'$$ and applications. Zbl 1427.47010
Stanislavova, Milena; Stefanov, Atanas
2016
Linear stability of solitary waves for the one-dimensional Benney-Luke and Klein-Gordon equations. Zbl 1309.35117
Stanislavova, Milena
2015
On the spectral stability of kinks in some $$\mathcal{PT}$$-symmetric variants of the classical Klein-Gordon field theories. Zbl 1304.35608
Demirkaya, A.; Kapitula, T.; Kevrekidis, P. G.; Stanislavova, M.; Stefanov, A.
2014
Linear stability analysis for periodic travelling waves of the Boussinesq equation and the Klein-Gordon-Zakharov system. Zbl 1293.35243
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2014
Spectral stability analysis for special solutions of second order in time PDEs: the higher-dimensional case. Zbl 1286.35033
Stanislavova, Milena; Stefanov, Atanas
2013
Orbital stability for periodic standing waves of the Klein-Gordon-Zakharov system and the beam equation. Zbl 1270.35082
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2013
Spectral stability for subsonic traveling pulses of the Boussinesq “abc” system. Zbl 1282.35119
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2013
Linear stability analysis for travelling waves of second order in time PDE’s. Zbl 1259.35032
Stanislavova, Milena; Stefanov, Atanas
2012
Transverse instability for periodic waves of KP-I and Schroedinger equations. Zbl 1273.35045
Stefanov, Atanas; Stanislavova, Milena; Hakkaev, Zevdzhan
2012
Conditional stability theorem for the one dimensional Klein-Gordon equation. Zbl 1272.81056
Demirkaya, Aslihan; Stanislavova, Milena
2011
Asymptotic estimates and stability analysis of Kuramoto-Sivashinsky type models. Zbl 1257.35040
Stanislavova, Milena; Stefanov, Atanas
2011
Long time behavior for radially symmetric solutions of the Kuramoto-Sivashinsky equation. Zbl 1197.35049
Demirkaya, Aslihan; Stanislavova, Milena
2010
On precise center stable manifold theorems for certain reaction-diffusion and Klein-Gordon equations. Zbl 1180.37116
Stanislavova, Milena; Stefanov, Atanas
2009
Effective estimates of the higher Sobolev norms for the Kuramoto-Sivashinsky equation. Zbl 1190.35045
Stanislavova, Milena; Stefanov, Atanas
2009
Attractors for the viscous Camassa-Holm equation. Zbl 1387.35502
Stanislavova, Milena; Stefanov, Atanas
2007
Diffraction managed solitons with zero mean diffraction. Zbl 1125.49005
Stanislavova, Milena
2007
Asymptotic smoothing and attractors for the generalized Benjamin-Bona-Mahony equation on $$\mathbb R^3$$. Zbl 1160.35354
Stanislavova, Milena; Stefanov, Atanas; Wang, Bixiang
2005
On the global attractor for the damped Benjamin-Bona-Mahony equation. Zbl 1162.35328
Stanislavova, Milena
2005
Regularity of ground state solutions of dispersion managed nonlinear Schrödinger equations. Zbl 1072.35172
Stanislavova, M.
2005
On global finite energy solutions of the Camassa-Holm equation. Zbl 1175.35129
Stanislavova, Milena; Stefanov, Atanas
2005
The spectrum of a linearized 2D Euler operator. Zbl 1141.35437
Latushkin, Y.; Li, Y. C.; Stanislavova, M.
2004
A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations. Zbl 0969.35123
Gesztesy, F.; Jones, C. K. R. T.; Latushkin, Y.; Stanislavova, M.
2000
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#### Cited by 167 Authors

 11 Stanislavova, Milena 7 Hundertmark, Dirk 7 Stefanov, Atanas G. 6 Pelinovsky, Dmitry Efimovich 5 Demirkaya, Aslihan 5 Lee, Young-Ran 5 Wang, Ming 4 Dullin, Holger R. 4 Haragus, Mariana 4 Worthington, Joachim 4 Zhu, Chaosheng 3 Borisov, Denis Ivanovich 3 Geyer, Anna 3 Hakkaev, Sevdzhan A. 3 Kapitula, Todd M. 3 Kevrekidis, Panayotis G. 3 Li, Yangrong 3 Marangell, Robert 3 Schlag, Wilhelm 3 Tang, Yanbin 3 Wang, Bixiang 3 Wang, Renhai 2 Beceanu, Marius 2 Choi, Mi-Ran 2 Dell’Oro, Filippo 2 Guo, Yantao 2 Ivanov, Rossen I. 2 Johnson, Mathew A. 2 Li, Y. Charles 2 Lin, Zhiwu 2 Mammeri, Youcef 2 Ohta, Masahito 2 Pata, Vittorino 2 Sheu, Tony Wen-Hann 2 Vasudevan, Shibi 2 Yu, Ching-Hao 2 Yu, Shengqi 2 Zeng, Chongchun 1 Ablowitz, Mark Jay 1 Akrivis, Georgios D. 1 Bates, Peter W. 1 Bhatt, Ashish 1 Biondini, Gino 1 Biswas, Animikh 1 Bronski, Jared C. 1 Cao, Yang 1 Cardone, Giuseppe 1 Chang, Chueh-Hsin 1 Chernyavskiĭ, Aleksandr Grigor’evich 1 Chiu, Pao-Hsiung 1 Colin, Mathieu 1 Colin, Thierry 1 Decker, Robert J. 1 Deconinck, Bernard 1 Deng, Youjun 1 Ding, Danping 1 Ding, Pengyan 1 Dmitriev, Sergey V. 1 Doelman, Arjen 1 Donninger, Roland 1 Erbay, Husnuata A. 1 Erbay, Saadet 1 Erdoğan, Mehmet Burak 1 Erkip, Albert Kohen 1 Feng, Wen 1 Fukuizumi, Reika 1 Gärtner, Janina 1 Georgiev, Vladimir S. 1 Ghazaryan, Anna 1 Godey, Cyril 1 Goubet, Olivier 1 Green, Walton 1 Green, William R. 1 Gücüyenen Kaymak, Nurcan 1 Gücüyenen, Nurcan 1 Huang, Chuangxia 1 Huang, Jianhua 1 Iglesias, Digno 1 Jia, Chunsheng 1 Jin, Jiayin 1 Johnson, Edward R. 1 Jones, Christopher K. R. T. 1 Kalantarov, Varga K. 1 Kang, Jum-Ran 1 Kang, Junjun 1 Karali, Georgia D. 1 Kostenko, Aleksey S. 1 Krieger, Joachim 1 Kunstmann, Peer Christian 1 Kwak, Chulkwang 1 Lafortune, Stéphane 1 Lan, Yueheng 1 Latushkin, Yuri 1 Levandosky, Steven Paul 1 Li, Jin 1 Liao, Shi-Jun 1 Lichtner, Mark 1 Lim, Wee Keong 1 Liu, Anping 1 Liu, Han-Bin ...and 67 more Authors
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#### Cited in 63 Serials

 10 Journal of Differential Equations 7 Communications in Mathematical Physics 6 Journal of Mathematical Analysis and Applications 5 Journal of Mathematical Physics 5 Proceedings of the American Mathematical Society 4 Mathematical Methods in the Applied Sciences 3 Applicable Analysis 3 Studies in Applied Mathematics 3 Discrete and Continuous Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series B 2 Archive for Rational Mechanics and Analysis 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Physica D 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Dynamics and Differential Equations 2 Journal of Mathematical Fluid Mechanics 2 Boundary Value Problems 2 Science China. Mathematics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Calcolo 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Tohoku Mathematical Journal. Second Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Mathematical Chemistry 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Nonlinear Mathematical Physics 1 Applied Mathematics E-Notes 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Analysis 1 Journal of Applied Analysis and Computation 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 24 Fields

 109 Partial differential equations (35-XX) 29 Dynamical systems and ergodic theory (37-XX) 17 Fluid mechanics (76-XX) 12 Operator theory (47-XX) 8 Numerical analysis (65-XX) 7 Ordinary differential equations (34-XX) 7 Quantum theory (81-XX) 6 Probability theory and stochastic processes (60-XX) 6 Optics, electromagnetic theory (78-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)