Alexei Ilyin
- On the regularization mechanism for the periodic Korteweg-de Vries\n equation
2009/10/07 by Anatoli Babin, Alexei Ilyin, Babin, Anatoli V. +3 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Nonlinear Waves and Solitons
- Sharp bounds on the attractor dimensions for damped wave equations
2024/09/27 by Alexei Ilyin, Anna Kostianko, Ilyin, A. A. +3 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations
- Dimension estimates for the attractor of the regularized damped Euler equations on the sphere
2021/07/22 by Alexei Ilyin, Ilyin, Alexei, Anna Kostianko +3 · 1 citation
Computer Science · Engineering · Mathematics · #35B40 #35B45 #35L70 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Spectral Theory (math.SP) #Stability and Controllability of Differential Equations
- Applications of the Lieb--Thirring and other bounds for orthonormal systems in mathematical hydrodynamics
2022/02/03 by Alexei Ilyin, Anna Kostianko, Ilyin, Alexei +3 · 1 citation
Engineering · Mathematics · #35B40 #35B45 #35L70 #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Spectral Theory (math.SP) #Stability and Controllability of Differential Equations
- Eigenvalues of non-selfadjoint functional difference operators
2025/04/09 by Alexei Ilyin, Ilyin, Alexei, Ари Лаптев +5 · 1 citation
Mathematics · #Spectral Theory in Mathematical Physics #Holomorphic and Operator Theory #Mathematical functions and polynomials