What Are the Key Equations in Shock Wave Analysis?

In summary, "Exploring Shock Waves: A Mathematical Analysis" delves into the mathematical principles underlying shock waves, examining their formation, propagation, and interaction in various mediums. The study highlights key equations governing shock wave behavior, such as the Navier-Stokes equations, and explores numerical methods for simulating shock wave dynamics. Through analytical and computational techniques, the research provides insights into the physical phenomena associated with shock waves, their applications in engineering and physics, and the challenges in modeling complex shock interactions.
  • #1
DifferentialGalois
68
25
Homework Statement
I don't understand anything they do after 1:26 constructing the first diagram ("the zooming in part") and devising the integral.
Relevant Equations
provided here from 1:26 ONWARDS: https://www.youtube.com/watch?v=er512TwsxNM&t=86s
the attempted is the above ex. i needa justify why and figure out the reason behind those relevant equations.
 
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  • #2
Are you puzzled at the way the left and right tails become horizontal?
 
  • #3
haruspex said:
Are you puzzled at the way the left and right tails become horizontal?
puzzled at everything. may someone start from scratch
 
  • #4
If most of the video is puzzling, maybe is not the right point for you to start?
 
  • #5
nasu said:
If most of the video is puzzling, maybe is not the right point for you to start?
well most of it requires intuition, no?
 
  • #6
I've only looked at the zooming in part so far, and might not get further today, but it does not give me great confidence in the tutor.
 
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