The Dirichlet-to-Neumann map uniquely determines the nonlinear coefficients β (Westervelt) and (β, κ) (Kuznetsov) in the JMGT equation when observation time exceeds the longest boundary-to-boundary travel time.
Gaussian beam interactions and inverse source problems for nonlinear wave equations
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Active measurements near a particle trajectory determine the background flow in the pressure-wave reachable set for polytropic compressible Euler equations assuming nonzero vorticity.
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Inverse boundary value problems of determining nonlinear coefficients for the JMGT equation
The Dirichlet-to-Neumann map uniquely determines the nonlinear coefficients β (Westervelt) and (β, κ) (Kuznetsov) in the JMGT equation when observation time exceeds the longest boundary-to-boundary travel time.
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An inverse problem for compressible Euler's equations
Active measurements near a particle trajectory determine the background flow in the pressure-wave reachable set for polytropic compressible Euler equations assuming nonzero vorticity.
- Gauge symmetry and uniqueness in inverse problems for the JMGT equation