§1 Examples

Partial differential equations:

• Standard examples:
  • Steady heat conduction in a plate:

    

  • Unsteady heat conduction in a bar:

    

  • Vibrations of a string:

    

• Fluid mechanics;
• Heat transfer;
• Solid mechanics;
• Dynamics;
• Electro-magnetodynamics;
• Geometry;
• Optics;
• ...