Partial Differential Equations Solution Manual
© Leon van Dommelen
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3.1 Classification and characteristics
3
. First Order Equations
Subsections
3
.
1
Classification and characteristics
3
.
2
Numerical solution
3
.
3
Analytical solution
3
.
4
Application of the boundary or initial condition
3
.
5
The inviscid Burgers’ equation
3
.
5
.
1
Wave steepening
3
.
5
.
2
Shocks
3
.
5
.
3
Conservation laws
3
.
5
.
4
Shock relation
3
.
5
.
5
The entropy condition
3
.
6
First order equations in more dimensions
3
.
7
Systems of First Order Equations (None)
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3.1 Classification and characteristics
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