Some references said the incompressible Euler equation is not well posed with Dirichlet boundary condition :
$$u_t+u\cdot\nabla u+\nabla p=0$$ $$\nabla\cdot u=0$$ $$u=0 \ \ \text{on}\ \partial\Omega$$
Why is this?
Some references said the incompressible Euler equation is not well posed with Dirichlet boundary condition :
$$u_t+u\cdot\nabla u+\nabla p=0$$ $$\nabla\cdot u=0$$ $$u=0 \ \ \text{on}\ \partial\Omega$$
Why is this?
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