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Solving the Quasilinear PDE $u_{t} - u^2 u_{x} = 0$ with piecewise initial condition.
partial-differential-equations
characteristics
Finding shock curves, Burgers equation
partial-differential-equations
characteristics
hyperbolic-equations
Rarefaction and shock waves colliding in Burgers' equation
partial-differential-equations
characteristics
Why is the solution single-valued?
partial-differential-equations
characteristics
hyperbolic-equations
Solving $uu_{x_1}+u_{x_2}=u$ with boundary conditions
partial-differential-equations
characteristics
Solve first order PDE system
partial-differential-equations
wave-equation
characteristics
hyperbolic-equations
Cauchy Problem for inviscid Burgers' equation
partial-differential-equations
characteristics
hyperbolic-equations
$u_x + u^2u_y = 1$ with $u(x,0)=1$
partial-differential-equations
characteristics
Inhomogenous nonlinear transport equation $u_t+uu_x = -Du$
partial-differential-equations
characteristics
transport-equation
Using the characteristics to get the canonical form of a pde
partial-differential-equations
characteristics
canonical-transformation
Solve $u_{x_1}u_{x_2} = u$ with $u(0,x_2)=x_2^2$
partial-differential-equations
initial-value-problems
characteristics
Question about characteristics and classification of second-order PDEs
partial-differential-equations
characteristics
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