- #1
sara_math
- 7
- 0
PDE + shock !
Ux + 2Uy = 0
I.C: U(x,y=2x) = exp(x)
solution:-
y=2x+c1
x=c2
using I.C
c1=0
c2=exp(x)
No solution since I.C on the characteristics line
every thing is ok until here but my teacher said that there exist one case that when u change some thing u will get a solution
how !
also i want 2 know why discont. or shock occur ?
i hope u can help me
Ux + 2Uy = 0
I.C: U(x,y=2x) = exp(x)
solution:-
y=2x+c1
x=c2
using I.C
c1=0
c2=exp(x)
No solution since I.C on the characteristics line
every thing is ok until here but my teacher said that there exist one case that when u change some thing u will get a solution
how !
also i want 2 know why discont. or shock occur ?
i hope u can help me