Afendikov, A.L. & Mielke, A. 2000b Nonlocal modulation equations for viscous uid layer problems and persistence of spatially localized perturbations, Z. angew. Math. Mech.  Home/Search   Document Not in Database   Summary   Related Articles

....(1.1) by including modulations in both the streamwise and spanwise directions (Davey et al. 1974) One can restrict the DHS system to one dimensional problems, by looking for particular classes of solutions. For instance, spatial modulation can be considered solely in the spanwise direction. Afendikov Mielke (1995,2000a) have recently reexamined this theory and shown that the form of the DHS system and the restricted equations depend crucially on what constraints are imposed on the spanwise and streamwise mass ux Article submitted to Royal Society T E X Paper 2 A.L. Afendikov T.J. Bridges and the pressure ....

....is neglected, the spanwise modulation equations take the form A = b 1 2 A Z 2 b 2 A b 3 jAj 2 A b 4 [ jAj 2 ] A ; 1. 2) where the complex coecients depend on the mass uxes and the pressure gradient, and [ is an average which makes the equations nonlocal (cf. Afendikov Mielke 2000b) For solutions which decay exponentially as Z 1, the nonlocal term vanishes, and the equations (1.2) reduce to the form (1.1) but with di erent values for the coecients. Numerical values for the coecients in (1.2) for the case of zero mass ux in the spanwise direction and xed pressure ....

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Afendikov, A.L. & Mielke, A. 2000b Nonlocal modulation equations for viscous uid layer problems and persistence of spatially localized perturbations, Z. angew. Math. Mech.

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