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Abstract
We consider a model time-harmonic wave equation of acoustic tomography of moving fluid in an open bounded domain in ℝd, d ≥ 2, with variable sound speed c, density ρ, fluid velocity v and absorption coefficient α. We give global uniqueness results for related inverse boundary value problem for the cases of boundary measurements given for two and for three fixed frequencies. Besides, we also give a non-uniqueness result for this inverse problem for the case of boundary measurements given for all frequencies.
Keywords: Moving fluid; magnetic Schrödinger equation; acoustic tomography; inverse boundary value problems; identifiability and non-identifiability
Received: 2015-5-20
Accepted: 2015-7-10
Published Online: 2015-7-24
Published in Print: 2016-6-1
© 2016 by De Gruyter
