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Spatial decay bounds for a temperature dependent Stokes flow

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This paper examines a temperature dependent Stokes flow in a semi-infinite cylinder. Under appropriate initial and boundary conditions the author establishes exponential decay of solutions in energy norm with distance from the finite end of the cylinder.

참고문헌 (15)

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  10. L. E. Payne, "A bound for the optimal constant in an inequality of Ladyzhenskaya and Solon- nikov", IMA J. Appl. Math, 72(5), pp.563~569 (2007)
  11. L. E. Payne, "Spatial decay for a model of double diffusive convection in Darcy and Brinkman flows", Z. Angew. Math. Phys, 51(6), pp.867~880 (2000)
  12. L. E. Payne, "Spatial decay in a double diffusive convection problem in Darcy flow", J. Math. Anal. Appl, 330(2), pp.864~875 (2007)
  13. L. E. Payne, "Spatial decay bounds for double diffusive convection in Brinkman flow", J. Dif- ferential Equations, 244(2), pp.413~430 (2008)
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  15. B. Straughan, "Stability and Wave Motion in Porous Media" (2008), Springer

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