Is it possible to solve a hyperbolic moving boundary problem?

There is no fundamental difficulty with hyperbolic equation on a domain with moving boundary, as long as the boundary moves slower than the characteristic speed. If the boundary is allowed to move at or faster than the characteristic speed, there will be complications.

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Linear Pde

Parabolic Pde

Partial Differential Equations

Hyperbolic Equations

Elliptic Equations

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