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What's the physical interpretation of constants in wave equation and diffusion equation?

$$u_{tt}=c^2u_{xx},$$

$$u_{t}=ku_{xx}.$$

Please introduce some reference about mathematical modeling of physical phenomenons such as wave, shocks and diffusion equation.

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Do you mean wave equation? (or Laplace equation?) –  Mostafa Jun 6 '13 at 21:38
    
@Mostafa:both of them –  Maisam Hedyelloo Jun 6 '13 at 21:39
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There isn't any constant in Laplace equation. In the wave equation: the constant is the speed of propagation.In the diffusion equation the constant is a measure of the driving force for diffusion of the species. –  Mostafa Jun 6 '13 at 21:52
    
@Mostafa:thanks –  Maisam Hedyelloo Jun 6 '13 at 21:53

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