Evolution of Partial Differential Equations

Related lectures (28)

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Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.

Explores characteristic curves and solutions in partial differential equations, emphasizing uniqueness and existence in various scenarios.

Covers the basics of Partial Differential Equations, including well-posedness, operators, and classification of physical PDEs.

Explores numerical methods for solving partial differential equations computationally, emphasizing their importance in predicting various phenomena.

Covers the properties of fundamental solutions and introduces Green's representation formula for solving partial differential equations.

Explores linear partial differential equations, elliptic PDEs, Laplace equation, boundary conditions, and classical solutions.

Explores energy conservation in wave equations, emphasizing uniqueness, existence of solutions, and stability.

Explores biomechanical modeling of the musculoskeletal system using differential equations and finite element modeling.