R. Bianchini

most citedNon Existence and Strong Ill-Posedness in

H^{2}

for the Stable IPM Equation

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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…

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

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