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Global Gevrey Regularity for the Bénard Convection in a Porous Medium with Zero Darcy-Prandtl Number

✍ Scribed by H. V. Ly; E. S. Titi


Publisher
Springer
Year
1999
Tongue
English
Weight
254 KB
Volume
9
Category
Article
ISSN
0938-8974

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Gevrey Regularity for the Attractor of a
✍ Marcel Oliver; Edriss S Titi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 166 KB

Convective flow though a porous medium can be modeled by Darcy's law a linear, weakly damped momentum equation coupled with an advection diffusion equation for the energy. The solution semigroup for this system is not smoothing, and the solution of the momentum equation does not gain regularity with