Alexandru D. Ionescu
- Nonlinear fractional Schrödinger equations in one dimension
2013/10/07 by Alexandru D. Ionescu, Fabio Pusateri · 13 citations
Mathematics · #Advanced Mathematical Physics Problems #Numerical methods in inverse problems #Fractional Differential Equations Solutions
- Nonlinear inviscid damping near monotonic shear flows
2020/01/09 by Alexandru D. Ionescu, Ionescu, Alexandru D., Hao Jia +1 · 11 citations
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
- The Euler-Maxwell two-fluid system in 3D
2013/03/05 by Yan Guo, Guo, Yan, Alexandru D. Ionescu +3 · 4 citations
Engineering · Mathematics · #35Q31 #35Q61 #76N15 #76X05 #82D10 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
- Nonlinear fractional Schrödinger equations in one dimension
2012/09/22 by Alexandru D. Ionescu, Fabio Pusateri, Ionescu, Alexandru D. +1 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #Navier-Stokes equation solutions
- On the global well-posedness of energy-critical Schr "odinger equations\n in curved spaces
2010/08/06 by Alexandru D. Ionescu, Ionescu, Alexandru D., Benoît Pausader +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #advanced mathematical theories #Black Holes and Theoretical Physics
- Axi-symmetrization near point vortex solutions for the 2D Euler equation
2019/04/19 by Alexandru D. Ionescu, Hao Jia, Ionescu, Alexandru +1 · 4 citations
Mathematics · Engineering · #Navier-Stokes equation solutions #Fluid Dynamics and Turbulent Flows #Computational Fluid Dynamics and Aerodynamics
- Semilinear Schrödinger Flows on Hyperbolic Spaces: Scattering in H1
2008/01/18 by Alexandru D. Ionescu, Ionescu, Alexandru D., Gigliola Staffilani +1 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #advanced mathematical theories
- The Euler--Poisson system in 2D: global stability of the constant\n equilibrium solution
2011/10/04 by Alexandru D. Ionescu, Benoît Pausader, Ionescu, Alexandru D. +1 · 1 citation
Mathematics · #Navier-Stokes equation solutions #Gas Dynamics and Kinetic Theory
- On the wave turbulence theory of 2D gravity waves, I: deterministic energy estimates
2022/11/20 by Yu Deng, Deng, Yu, Alexandru D. Ionescu +3 · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing