1. ISIMA: Astrophysical Applications of Radiation Transport Mark Krumholz (UC Santa Cruz)

2. Simple Nonmagnetic Shocks  1, T 1  2, T 2 u1u1 u2u2 UpstreamDownstream Shock front

3. Non-radiating Shock Jump Conditions Mass conservation Momentum conservation Energy conservation Equation of state

4. Solution to Non- Radiating Shocks As :

5. Strongly Radiative Optically Thin Shock 

6. Cooling Shock Structure

7. Structure of a Molecular Cloud Pipe Nebula (Lombardi, Alves, & Lada 2006) -- opticalPipe Nebula (Lombardi, Alves, & Lada 2006) -- extinction

8. Jump Conditions for Optically Thick Shocks with Radiation

9. Subcritical Radiative Shocks Non-radiativeRadiative subcritical

10. Taxonomy of Radiative Shocks SubcriticalCriticalSupercritical Radiation- dominated

11. Width of a Radiation- Dominated Shock

12. Example of a Radiative Shock

13. Ionization Fronts  1, T 1  2, T 2 u1u1 u2u2 Upstream / neutral Downstream / ionized Ionization front J

14. I-Front Jump Conditions 

15. Allowed Ionization Fronts

16. Ionization + Shock Fronts  1, T 1  2, T 2 u1u1 u2u2 Shocked / neutral Downstream / ionized Ionization front J  0, T 0 u0u0 Upstream / neutral Shock front

17. Spherical I-Front in Uniform Medium: R-Phase Q0Q0 Ionized Neutral RSRS

18. Spherical I-Front in Uniform Medium: D-Phase Q0Q0 Ionized Neutral RiRi Dense shell

19. D-Type Similarity Solution Similarity solution:

20. Ionized Region with B Field