518 citations
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Showing 2017 · math.APShow all
3 papers · 2 filters
math.AP2017★ 24 cited
Mathematical Analysis of the Motion of a Rigid Body in a Compressible Navier-Stokes-Fourier Fluid
Bernhard H. Haak, Debayan Maity, Takéo Takahashi +1
We study an initial and boundary value problem modelling the motion of a rigid body in a heat conducting gas. The solid is supposed to be a perfect thermal insulator. The gas is de…
math.AP2017★ 3 cited
Stable reconstruction of the volatility in a regime-switching local volatility model
Mourad Bellassoued, Raymond Brummelhuis, Michel Cristofol +1
Prices of European call options in a regime-switching local volatility model can be computed by solving a parabolic system which generalises the classical Black and Scholes equatio…
math.AP2017★ 23 cited
Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations
L. Beilina, M. Cristofol, S. Li +1
We consider an inverse problem of reconstructing two spatially varying coefficients in an acoustic equation of hyperbolic type using interior data of solutions with suitable choice…