Questions tagged [well-posedness]

11 questions
9
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1 answer

Well-posedness of a linear elasticity problem with periodic boundary conditions

For certain applications, such as steady state heat transfer and flow in porous media, it is possible to simulate a much larger (infinite) domain by imposing periodic boundary conditions on opposite boundary faces and dirichlet bc's on the remaining…
Paul
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How to show that a problem is ill-posed

I was searching around here for a while but I didn't find any discussion on this topic. We know that a problem is well-posed when There is a solution (existence), There is only one solution (uniqueness), The solution depends continuously on the…