Showing 2026Show all
3 papers · 1 filter
math.AP2026
Determination of hyperelastic parameters with non-trapping wavespeeds
Gunther Uhlmann, Jian Zhai
We consider the elastic wave equation in three-dimensional isotropic medium with up to quadratic nonlinear terms. We show that five out of the six elastic parameters can be uniquel…
math.AP2026
Determination of an anisotropic perturbation in elastic inverse scattering
Matti Lassas, Shiqi Ma, Lauri Oksanen +2
We consider a linearized inverse scattering problem for elastic waves. We prove that a fully anisotropic perturbation of the elastic parameters around an isotropic and homogeneous…
math.AP2026
An inverse problem for compressible Euler's equations
Gunther Uhlmann, Yuchao Yi, Jian Zhai
We consider an inverse problem for the compressible Euler's equations in polytropic fluid. We show that by taking active measurements near a particle trajectory one can determine t…