3. The Wave Equation Flashcards
1
Q
Wave Equation in one spatial dimension.
A
2
Q
Characteristic coordinate.
A
3
Q
General soluitions with the coordinate method.
A
4
Q
WE IVP
A
5
Q
Definition 3.1
Cauchy, or IVP for WE in 1D
A
6
Q
D’Alembert’s Formula
A
7
Q
Proposition 3.4
When is d’Alembert’s formula a solution?
A
8
Q
Lemma
Leibniz’ rule
A
9
Q
Principle of causality
A
10
Q
Kinetic, potential and total energy.
A
11
Q
Lemma 3.5
Preservation of Energy
A
12
Q
Theorem 3.6
Existence and uniqueness of the Cauchy problem.
A
13
Q
Definition 3.7
Dirichlet boundary condition
A
14
Q
Separation of variables.
derives the solution.
A
15
Q
Definition 3.8
Neumann boundary conditions
A
