Lectures related to Governing Equations: Incompressible and Compressible Flows

Discusses the derivation of Vlasov equation from Boltzmann equation, conservation laws, and formal solutions.

Covers the global conservation laws related to energy, momentum, and helicity.

Covers the foundations of incompressible fluid mechanics and emphasizes the importance of exercises and self-study.

Explores the composition of the cosmos, dynamics of fluids and plasmas, and conservation equations.

Discusses velocity potential, momentum balance, and solution strategies for incompressible flows.

Explores central force dynamics, conservation laws, and conic sections properties.

Explores perfect fluid dynamics, incompressible and irrotational flow, conservation of mass, and the Bernoulli equation.

Covers the conservation laws in plasma physics, highlighting entropy, energy, and momentum conservation.