The paper derives input-to-state stability type estimates for the 1-D continuity equation in every Lp norm with p>1, including the sup norm, and applies them to a nonlinear manufacturing model.
Loss of Regularity for the Continuity Equation with Non-Lipschitz Velocity Field
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Stability Results for the Continuity Equation
The paper derives input-to-state stability type estimates for the 1-D continuity equation in every Lp norm with p>1, including the sup norm, and applies them to a nonlinear manufacturing model.