Direct Acoustic Scattering Problems

Jingzhi Li () and Hongyu Liu ()
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Jingzhi Li: Southern University of Science and Technology, Department of Mathematics
Hongyu Liu: City University of Hong Kong, Department of Mathematics

Chapter Chapter 2 in Numerical Methods for Inverse Scattering Problems, 2023, pp 5-28 from Springer

Abstract: Abstract We consider the propagation of acoustic waves in a medium in $$\mathbb {R}^{N},(N=2,3)$$ R N , ( N = 2 , 3 ) . Let $$x\in \mathbb {R}^N$$ x ∈ R N and $$t\in \mathbb {R}_+$$ t ∈ R + be the space and time variables, respectively. Let U(x, t) signify the wave field (i.e. the displacement away from the equilibrium state) and let c(x), $$\sigma (x)$$ σ ( x ) and $$\rho (x)$$ ρ ( x ) denote the wave velocity, damping coefficient and the mass density of the medium, respectively.

Date: 2023
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DOI: 10.1007/978-981-99-3772-1_2

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