Stability results for elastic porous media swelling with nonlinear damping

By A. Ramos, M. Freitas, D. S. Almeida, A. Noé, M. J. Santos. 2020

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In this paper, we consider a one-dimensional linear theory of swelling porous elastic soils damped with a single nonlinear feedback. We establish an exponential decay rate, using a multiplier method and some properties of convex functions without imposing any restrictive growth assumption near the origin on the damping term, provided that the wave speeds of the system are equal.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7c869db7004ad050cc145be8bb5360e01ca62095