Well-Posed Initial-Boundary Value Problem for Constrained Evolution
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Well-posed Initial-boundary Value Problem for a Constrained Evolution System and Radiation-controlling Constraint-preserving Boundary Conditions
A well-posed initial-boundary value problem is formulated for the model problem of vector wave equation subject to the divergence-free constraint. Existence, uniqueness, and stability of the solution is proved by reduction to a system evolving the constraint quantity trivially, namely, the second time derivative of the constraint quantity is zero. A new set of radiationcontrolling constraint-pr...
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