Famous PDEs, diffusion equation

The diffusion equation whose one-dimensional version reads $$\begin{equation} \tag{2} \frac{\partial^2 u}{\partial x^2}=A\frac{\partial u}{\partial t}, \end{equation}$$ and $A$ is in this case called the diffusion constant. It can be used to model a wide selection of diffusion processes, from molecules to the diffusion of heat in a given material.

• «
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 10
• 11
• 12
• 13
• ...
• 98
• »