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Singularity of a combustion wave profile: a clue to the multicomponent theory for liquid-gas filtration combustion
Max Endo Kokubun, Alexei Mailybaev
We study a nonlinear wave for a system of balance laws in one space dimension, which describes combustion for two-phase (gas and liquid) flow in porous medium. The problem is formu…
Toward analytic theory of the Rayleigh-Taylor instability: lessons from a toy model
Alexei A. Mailybaev
In this work we suggest that a turbulent phase of the Rayleigh-Taylor instability can be explained as a universal stochastic wave traveling with constant speed in a properly renorm…
Asymptotic solution for high vorticity regions in incompressible 3D Euler equations
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev
Incompressible 3D Euler equations develop high vorticity in very thin pancake-like regions from generic large-scale initial conditions. In this work we propose an exact solution of…
Chaotic and regular instantons in helical shell models of turbulence
Massimo De Pietro, Alexei A. Mailybaev, Luca Biferale
Shell models of turbulence have a finite-time blowup in the inviscid limit, i.e., the enstrophy diverges while the single-shell velocities stay finite. The signature of this blowup…
Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
Jörg Doppler, Alexei A. Mailybaev, Julian Böhm +7
Physical systems with loss or gain feature resonant modes that are decaying or growing exponentially with time. Whenever two such modes coalesce both in their resonant frequency an…