Farah, Luiz Gustavo
- 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, Farah, Luiz Gustavo, Justin Holmer +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
- Instability of solitons in the 2d cubic Zakharov-Kuznetsov equation
2017/11/16 by Luiz Gustavo Farah, Justin Holmer, Farah, Luiz Gustavo +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
- Scattering for the radial focusing INLS equation in higher dimensions
2017/03/31 by Luiz Gustavo Farah, Carlos M. Guzmán, Farah, Luiz Gustavo +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #Nonlinear Photonic Systems
- The focusing energy-critical nonlinear Schrödinger system with power-type growth nonlinearities in the radial case
2025/07/03 by Farah, Luiz Gustavo, Hespanha, Maicon · 2 citations
#35B44 #35P25 #35Q44 #Analysis of PDEs (math.AP) #FOS: Mathematics