R. Bianchini

activity

20242026

most citedNon Existence and Strong Ill-Posedness in

H^{2}

for the Stable IPM Equation

1 citations · 1 across the 4 of their papers we have counts for

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math.AP2024★ 1 cited

Non Existence and Strong Ill-Posedness in $H^{2}$ for the Stable IPM Equation

Roberta Bianchini, Diego Córdoba, Luis Martínez-Zoroa

We prove the non-existence and strong ill-posedness of the Incompressible Porous Media (IPM) equation for initial data that are small $H^{2} (R^{2})$ perturbations of the linea…

math.AP2024

A new look at the controllability cost of linear evolution systems with a long gaze at localized data

Roberta Bianchini, Vincent Laheurte, Franck Sueur

We revisit the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before turning to some linear first order evol…

Non Existence and Strong Ill-Posedness in H2 for the Stable IPM Equation

A new look at the controllability cost of linear evolution systems with a long gaze at localized data

Non Existence and Strong Ill-Posedness in $H^{2}$ for the Stable IPM Equation