Solving a PDE with its boundary condition expressed as a piecewise function – mathematica.stackexchange.com

Solving a PDE with its boundary condition expressed as a piecewise function – mathematica.stackexchange.com

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All I want to do is solve the PDE pde = D[y[x, t], t] + y[x, t] D[y[x, t], x] == 0 with the boundary condition expressed as a piecewise function, say, init = Piecewise[2, ...

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