3 papers
physics.flu-dyn2023
Advancing Fluid Dynamics Stability Analysis: Construction of Lyapunov Functions via the Generalized Kinetic Energy Approach
Péter Tamás Nagy
The energy method, also known as the Reynolds-Orr equation, is widely utilized in predicting the unconditional stability threshold of shear flows owing to the zero contribution of…
math.RA2022
Anti-commutative algebras and their groups of automorphisms
Ágota Figula, Péter T. Nagy
We determine normal forms of the multiplication of four-dimensional anti-commutative algebras over a field of characteristic zero having an analogous family of flags of…
physics.flu-dyn2021
About the enstrophy change of the Reynolds-Orr solution in the channel flow
Péter Tamás Nagy
The plane Poiseuille flow is one of the elementary flow configurations. Although its laminar-turbulent transition mechanism is investigated intensively in the last century, the sig…