2 citations · 16 across the 17 of their papers we have counts for
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Geometrical optics for the fractional Helmholtz equation and applications to inverse problems
Giovanni Covi, Maarten de Hoop, Mikko Salo
In this paper we construct a parametrix for the fractional Helmholtz equation making use of geometrical optics solutions. We show that the a…
Anisotropic extended Burgers model, its relaxation tensor and properties of the associated Boltzmann viscoelastic system
Maarten de Hoop, Masato Kimura, Ching-Lung Lin +2
We provide a new method for constructing the anisotropic relaxation tensor and proving its exponential decay property for the extended Burgers model (abbreviated by EBM). The EBM i…
Resolvent Estimates for Viscoelastic Systems of Extended Maxwell Type and their Applications
Maarten V. de Hoop, Masato Kimura, Ching-Lung Lin +1
In the theory of viscoelasticity, an important class of models admits a representation in terms of springs and dashpots. Widely used members of this class are the Maxwell model and…
Coupling of flow, contact mechanics and friction, generating waves in a fractured porous medium
Maarten V. de Hoop, Kundan Kumar
We present a mixed dimensional model for a fractured poro-elasic medium including contact mechanics. The fracture is a lower dimensional surface embedded in a bulk poro-elastic mat…
Early-warning inverse source problem for the elasto-gravitational equations
Lorenzo Baldassari, Maarten V. de Hoop, Elisa Francini +1
Through coupled physics, we study an early-warning inverse source problem for the elasto-gravitational equations. It consists of a mixed hyperbolic-elliptic system of partial diffe…
Uniqueness in an inverse problem of fractional elasticity
Giovanni Covi, Maarten de Hoop, Mikko Salo
We study an inverse problem for fractional elasticity. In analogy to the classical problem of linear elasticity, we consider the unique recovery of the Lamé parameters associated t…