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math.OC2019
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…
math.OC2019
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…