PPT Slide

• Well-defined Limits

  Newtonian limit (non-relativistic)
  

  • Schr–dinger
  • Elasticity
  • Gas dynamics
  • 
    Incompressible limitEuler equations

    
    

• Symmetry Reductions

  • stationary
  • spherically symmetric
  • dimensional reduction

• Phenomenological

  • Dispersive( KdV,Schr–dinger)
  • Ginsburg-Landau
  • Maxwell-Vlasov

4. Other

2. Effective Equations

3. Diffusive Equations

1.Fundamental Laws

PDE AS A UNIFIED SUBJECT

Derived from the fundamental equations by taking limits or making specific simplifying assumptions

Previous slide

Next slide

Back to first slide

View graphic version