Alexander Chernyavsky

Latest

• Dynamics of 2D fluid in bounded domain via conformal variables
• Convex relaxations of integral variational problems: pointwise dual relaxation and sum-of-squares optimization
• Integrability and trajectory confinement in-symmetric waveguide arrays
• Whitham modulation theory for the Zakharov--Kuznetsov equation and stability analysis of its periodic traveling wave solutions
• Stable solitons in a nearly $\mathcal{PT}$-symmetric ferromagnet with spin-transfer torque
• Krein signature for instability of $\mathcal{PT}$-symmetric states
• Long-time stability of breathers in Hamiltonian $\mathcal{PT}$-symmetric lattices
• Breathers in Hamiltonian $\mathcal{PT}$-Symmetric Chains of Coupled Pendula under a Resonant Periodic Force