Roudenko, Svetlana
- Scattering for the non-radial 3D cubic nonlinear Schroedinger equation
2007/10/19 by Duyckaerts, Thomas, Holmer, Justin, Roudenko, Svetlana · 6 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Threshold solutions for the focusing 3d cubic Schroedinger equation
2008/06/10 by Duyckaerts, Thomas, Roudenko, Svetlana · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Divergence of infinite-variance nonradial solutions to the 3d NLS equation
2009/06/01 by Holmer, Justin, Roudenko, Svetlana · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Threshold solutions for the nonlinear Schrödinger equation
2020/10/27 by Campos, Luccas, Farah, Luiz Gustavo, Roudenko, Svetlana · 3 citations
#35B40 #35P25 #35P30 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Instability of solitons - revisited, I: the critical generalized KdV\n equation
2017/11/08 by Luiz Gustavo Farah, Justin Holmer, Farah, Luiz Gustavo +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons
- Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation
2020/05/30 by Farah, Luiz Gustavo, Holmer, Justin, Roudenko, Svetlana +1 · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Function spaces of variable smoothness and integrability
2007/11/15 by Diening, Lars, Hästö, Peter, Roudenko, Svetlana · 1 citation
#42B15 #42B25 #46E30 #46E35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- A class of solutions to the 3d cubic nonlinear Schroedinger equation\n that blow-up on a circle
2010/02/11 by Justin Holmer, Holmer, Justin, Svetlana Roudenko +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Nonlinear Waves and Solitons #advanced mathematical theories
- Maximizers for the Strichartz norm for small solutions of mass-critical NLS
2010/07/02 by Duyckaerts, Thomas, Merle, Frank, Roudenko, Svetlana · 1 citation
#35B45 #35B50 #35P25 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
- A solution to the focusing 3d NLS that blows up on a contracting sphere
2012/12/26 by Justin Holmer, Galina Perelman, Holmer, Justin +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons
- Instability of solitons in the 2d cubic Zakharov-Kuznetsov equation
2017/11/16 by Luiz Gustavo Farah, Farah, Luiz Gustavo, Justin Holmer +3 · 1 citation
Mathematics · Physics and Astronomy · #35Q53 #37K05 #37K40 #37K45 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
- Blow-up in finite or infinite time of the 2D cubic Zakharov-Kuznetsov equation
2018/10/11 by Farah, Luiz Gustavo, Holmer, Justin, Roudenko, Svetlana +1 · 1 citation
#35Q53 #37K05 #37K40 #37K45 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Global behavior of solutions to the focusing generalized Hartree\n equation
2019/04/10 by Anudeep Kumar Arora, Arora, Anudeep Kumar, Svetlana Roudenko +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Nonlinear Partial Differential Equations
- Littlewood-Paley Theory for Matrix-Weighted Function Spaces
2019/06/01 by Frazier, Michael, Roudenko, Svetlana · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Stability and instability of solitary waves in fractional generalized KdV equation in all dimensions
2022/10/17 by Oscar Riaño, Svetlana Roudenko, Riaño, Oscar +1 · 1 citation
Mathematics · Physics and Astronomy · #35B35 #35Q35 #35Q51 #35Q53 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
- Higher dimensional generalization of the Benjamin-Ono equation: 2D case
2021/03/29 by Riaño, Oscar, Roudenko, Svetlana, Yang, Kai · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
- On the well-posedness of the periodic fractional Schrödinger equation
2024/10/10 by Sanchez, Beckett, Riaño, Oscar, Roudenko, Svetlana · 1 citation
#35A01 #35B10 #35Q40 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Dichotomy Results for the Electromagnetic Schrödinger Equation
2024/12/28 by Czubak, Magdalena, Miller, Ian, Roudenko, Svetlana · 1 citation
#35A01 #35B44 #35Q55 #35Q60 #Analysis of PDEs (math.AP) #FOS: Mathematics