Displaying similar documents to “Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder”

Some theorems of Phragmen-Lindelof type for nonlinear partial differential equations.

Ramón Quintanilla (1993)

Publicacions Matemàtiques

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The present paper studies second order partial differential equations in two independent variables of the form Div(ρ|u,|u,, ρ|u,|u,) = 0. We obtain decay estimates for the solutions in a semi-infinite strip. The results may be seen as theorems of Phragmen-Lindelof type. The method is strongly based on the ideas of Horgan and Payne [5], [6], [8].

Stabilization of the Kawahara equation with localized damping

Carlos F. Vasconcellos, Patricia N. da Silva (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the stabilization of global solutions of the Kawahara (K) equation in a bounded interval, under the effect of a localized damping mechanism. The Kawahara equation is a model for small amplitude long waves. Using multiplier techniques and compactness arguments we prove the exponential decay of the solutions of the (K) model. The proof requires of a unique continuation theorem and the smoothing effect of the (K) equation on the real line, which are proved in this work. ...

Stabilization of the Kawahara equation with localized damping

Carlos F. Vasconcellos, Patricia N. da Silva (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We study the stabilization of global solutions of the Kawahara (K) equation in a bounded interval, under the effect of a localized damping mechanism. The Kawahara equation is a model for small amplitude long waves. Using multiplier techniques and compactness arguments we prove the exponential decay of the solutions of the (K) model. The proof requires of a unique continuation theorem and the smoothing effect of the (K) equation on the real line, which are proved in this work. ...