Solving the Dirichlet problem for Burgers' equation

Solve the Dirichlet problem for Burgers' equation:     ut + uux = νuxx   for x ∈ [0, L],  t > 0;     u(0,t) = A,     u(L,t) = B.

A =   B =   L =   ν =      See also arXiv:1502.06581.

   

   Blue curve: the stationary solution uS(x). Red curve: a non-stationary solution u(x,t) → uS(x) as t → ∞.

Parameters: Steady state: Non-stationary solution:

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