Continuous dependence and decay for the Forchheimer equations

By F. Franchi, Brian Straughan. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2003

70 citations recorded by the source corpus.

The Forchheimer equations for non–slow flow in a saturated porous medium are studied. We demonstrate that the solution depends continuously on changes in the Forchheimer coefficients. In addition, upper and lower bounds are derived for the energy decay rate. These establish the energy decays exponentially, but not faster than this.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/f25d53744b75eff2a35604c090c7a890b0447962

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In Computational Mechanics

1. Siyu Lin
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Citations in the corpus

• Existence of global attractors for the three‐dimensional Brinkman–Forchheimer equation (2008, methodology): “Then for every u0∈H , problem (5)–(6) has a unique weak solution u.”