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 $u$.
Answer
Answers can be viewed only if
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.
1 Attachment
The answer is accepted.
- answered
- 87 views
- $13.00
Related Questions
- Find the general solution of the system of ODE $X'=\begin{bmatrix} 1 & 3 \\ -3 & 1 \end{bmatrix} X$
- Differential equations 2 questions with multiple parts
- ODEs - Stability
- Find the General Solution
- A linear ODE
- Ordinary Differential Equations Integrating Factors Assignment
- Burgers’ equation $u_t + u u_x = −x $
- What is the transfer function of this system of differential equations?