Difference between revisions of "Category:Simple Linear Waves"
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The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]]. | The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]]. | ||
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| + | == Variable Beam equation == | ||
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| + | [[Variable Beam Equation]] | ||
Revision as of 23:46, 22 March 2009
Introduction
The principle topic of this wiki is linear water waves, however other simpler linear wave systems are discussed in some detail, especially as they relate to water wave problems.
Waves on a variable density string / waves on variable depth shallow water
The equation is
subject to the initial conditions
where [math]\displaystyle{ \zeta }[/math] is the displacement, [math]\displaystyle{ \rho }[/math] is the string density and [math]\displaystyle{ h(x) }[/math] is the variable depth (note that we are unifying the variable density string and the wave equation in variable depth because the mathematical treatment is identical).
The problem on waves on a string of variable density is closely related to water wave equation and is discussed in detail in Variable Depth Shallow Water Wave Equation.
Variable Beam equation
Pages in category "Simple Linear Waves"
The following 3 pages are in this category, out of 3 total.
