Find solutions to the Riemann Problems

i) Find the solution to the Riemann Problem for
$u_t + (u^3)_x = 0$
$U_L = 2$ and $U_R = 1$

ii) Find the solution to the Riemann Problem for
$v_t + 3/2 (v^4)_x = 0$
$V_L = 4$ and $V_R = 1$

iii) Show that $v = u^2$ with u from (i) formally solves (ii). Hint: multiply (i) by $u$.

Differential Equations Ordinary Differential Equations Partial Differential Equations
Chdogordon Chdogordon
Report

Answer

Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer

1 Attachment

Martin Martin
The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to 50% commission on every question your affiliated users ask or answer.