2 citations · 4 across the 4 of their papers we have counts for
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Constructive exact control of semilinear 1D heat equations
Jérôme Lemoine, Arnaud Münch
The exact distributed controllability of the semilinear heat equation posed over multi-dimensional and bounded domains, assuming that $g\in C^1(\m…
A fully space-time least-squares method for the unsteady Navier-Stokes system
Jerome Lemoine, Arnaud Munch
We introduce and analyze a space-time least-squares method associated to the unsteady Navier-Stokes system. Weak solution in the two dimensional case and regular solution in the th…
Singular asymptotic expansion of the exact control for a linear model of the Rayleigh beam
Arnaud Munch, Carlos Castro
The Petrowsky type equation $y_{tt}^\eps+\eps y_{xxxx}^\eps - y_{xx}^\eps=0$, $\eps>0$ encountered in linear beams theory is null controllable through Neumann boundary controls. Du…
Reconstruction of the solution and the source of hyperbolic equations from boundary measurements: mixed formulations
Nicolae Cindea, Arnaud Munch
We introduce a direct method allowing to solve numerically inverse type problems for linear hyperbolic equations. We first consider the reconstruction of the full solution of the w…