Discusses the application of action principles in classical field theory, focusing on Lagrange and Hamiltonian formulations.
Delves into the conditions for the uniqueness of solutions to Maxwell's equations in different media and sources, emphasizing the role of boundary conditions and material losses.
Explores the Hamiltonian formalism for the harmonic oscillator, focusing on deriving Lagrangian and Hamiltonian, isolating the system, and generating new conserved quantities.
Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.
Explores physical models for microsystems, ideal fluids, Navier-Stokes equations, incompressible fluids, Reynolds number, and molecular dynamics.
Explores the Rayleigh-Plateau instability in fluid flows, discussing surface tension effects and historical experiments related to this phenomenon.
Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.
Explores Rayleigh-Taylor instability, perturbation linearization, boundary conditions, normal mode expansion, and Laplace equation solution.
