
Previous Article
Fuzzy system of linear equations
 PROC Home
 This Issue

Next Article
Orthogonal polynomials on the unit circle with quasiperiodic Verblunsky coefficients have generic purely singular continuous spectrum
Spatial stability of horizontally sheared flow
1.  Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, United States, United States 
2.  Department of Mechanical Engineering, University of New Hampshire, Durham, NH 03824, United States 
References:
[1] 
Badulin, S.I., V.I.Shrira, and L.Sh. Tsimring, The trapping and vertical focusing of internal waves in a pycnocline due to the horizontal inhomogeneities of density and currents,, J. Fluid Mech., 158 (1985), 199. Google Scholar 
[2] 
Badulin, S.I. and V.I.Shrira, On the irreversibility of internal wave dynamics due to wave trapping by mean flow inhomogeneities, Part 1. Local analysis,, J. Fluid Mech., 251 (1993), 21. Google Scholar 
[3] 
Blumen, W., Stability of nonplanar shear flow of a stratified fluid,, J. Fluid Mech., 68 (1975), 177. Google Scholar 
[4] 
Deloncle, A., J. M. Chomaz, and P. Billant, Threedimensional stability of a horizontally sheared flow in a stably stratified fluid,, J. Fluid Mech., 570 (2007), 297. Google Scholar 
[5] 
Drazin,, P. G. and Howard, L. N., Hydrodynamic stability of parallel flow of inviscici fluid,, Advan. Appl. Mech., 9 (1966), 1. Google Scholar 
[6] 
Ivanov, Y. A., and Y.G.Morozov, Deformation of internal gravity waves by a stream with horizontal shear,, Okeanologie 14 (1974), 14 (1974), 467. Google Scholar 
[7] 
Jackson, T.L. and C.E. Grosch, Inviscid spatial stability of a compressible mixing layer,, J. Fluid Mech., 208 (1989), 609. Google Scholar 
[8] 
Maslowe, S.A., Hydrodynamic instabilities and the transition to turbulence., (SpringerVerlag), (1981). Google Scholar 
[9] 
Panayotova, I.N. and J.P. McHugh, On the stability of threedimensional disturbances in staratified flow with lateral and vertical shear,, Open Atm. Sci. J., 5 (2011), 23. Google Scholar 
show all references
References:
[1] 
Badulin, S.I., V.I.Shrira, and L.Sh. Tsimring, The trapping and vertical focusing of internal waves in a pycnocline due to the horizontal inhomogeneities of density and currents,, J. Fluid Mech., 158 (1985), 199. Google Scholar 
[2] 
Badulin, S.I. and V.I.Shrira, On the irreversibility of internal wave dynamics due to wave trapping by mean flow inhomogeneities, Part 1. Local analysis,, J. Fluid Mech., 251 (1993), 21. Google Scholar 
[3] 
Blumen, W., Stability of nonplanar shear flow of a stratified fluid,, J. Fluid Mech., 68 (1975), 177. Google Scholar 
[4] 
Deloncle, A., J. M. Chomaz, and P. Billant, Threedimensional stability of a horizontally sheared flow in a stably stratified fluid,, J. Fluid Mech., 570 (2007), 297. Google Scholar 
[5] 
Drazin,, P. G. and Howard, L. N., Hydrodynamic stability of parallel flow of inviscici fluid,, Advan. Appl. Mech., 9 (1966), 1. Google Scholar 
[6] 
Ivanov, Y. A., and Y.G.Morozov, Deformation of internal gravity waves by a stream with horizontal shear,, Okeanologie 14 (1974), 14 (1974), 467. Google Scholar 
[7] 
Jackson, T.L. and C.E. Grosch, Inviscid spatial stability of a compressible mixing layer,, J. Fluid Mech., 208 (1989), 609. Google Scholar 
[8] 
Maslowe, S.A., Hydrodynamic instabilities and the transition to turbulence., (SpringerVerlag), (1981). Google Scholar 
[9] 
Panayotova, I.N. and J.P. McHugh, On the stability of threedimensional disturbances in staratified flow with lateral and vertical shear,, Open Atm. Sci. J., 5 (2011), 23. Google Scholar 
[1] 
GuiQiang Chen, Beixiang Fang. Stability of transonic shockfronts in threedimensional conical steady potential flow past a perturbed cone. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 85114. doi: 10.3934/dcds.2009.23.85 
[2] 
Imam Wijaya, Hirofumi Notsu. Stability estimates and a LagrangeGalerkin scheme for a NavierStokes type model of flow in nonhomogeneous porous media. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 11971212. doi: 10.3934/dcdss.2020234 
[3] 
Shuxing Chen, Jianzhong Min, Yongqian Zhang. Weak shock solution in supersonic flow past a wedge. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 115132. doi: 10.3934/dcds.2009.23.115 
[4] 
Caterina Balzotti, Simone Göttlich. A twodimensional multiclass traffic flow model. Networks & Heterogeneous Media, 2020 doi: 10.3934/nhm.2020034 
[5] 
Shuang Liu, Yuan Lou. A functional approach towards eigenvalue problems associated with incompressible flow. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 37153736. doi: 10.3934/dcds.2020028 
[6] 
Pablo D. Carrasco, Túlio Vales. A symmetric Random Walk defined by the timeone map of a geodesic flow. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020390 
[7] 
Joan Carles Tatjer, Arturo Vieiro. Dynamics of the QRflow for upper Hessenberg real matrices. Discrete & Continuous Dynamical Systems  B, 2021, 26 (3) : 13591403. doi: 10.3934/dcdsb.2020166 
[8] 
Petr Pauš, Shigetoshi Yazaki. Segmentation of color images using mean curvature flow and parametric curves. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 11231132. doi: 10.3934/dcdss.2020389 
[9] 
Peter Frolkovič, Viera Kleinová. A new numerical method for level set motion in normal direction used in optical flow estimation. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 851863. doi: 10.3934/dcdss.2020347 
[10] 
Kohei Nakamura. An application of interpolation inequalities between the deviation of curvature and the isoperimetric ratio to the lengthpreserving flow. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 10931102. doi: 10.3934/dcdss.2020385 
[11] 
Tetsuya Ishiwata, Takeshi Ohtsuka. Numerical analysis of an ODE and a level set methods for evolving spirals by crystalline eikonalcurvature flow. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 893907. doi: 10.3934/dcdss.2020390 
[12] 
Reza Chaharpashlou, Abdon Atangana, Reza Saadati. On the fuzzy stability results for fractional stochastic Volterra integral equation. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020432 
[13] 
Patrick Martinez, Judith Vancostenoble. Lipschitz stability for the growth rate coefficients in a nonlinear FisherKPP equation. Discrete & Continuous Dynamical Systems  S, 2021, 14 (2) : 695721. doi: 10.3934/dcdss.2020362 
[14] 
YuehCheng Kuo, HueyEr Lin, ShihFeng Shieh. Asymptotic dynamics of hermitian Riccati difference equations. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020365 
[15] 
Yu Jin, XiangQiang Zhao. The spatial dynamics of a Zebra mussel model in river environments. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020362 
[16] 
Lin Shi, Dingshi Li, Kening Lu. Limiting behavior of unstable manifolds for spdes in varying phase spaces. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021020 
[17] 
XinGuang Yang, Lu Li, Xingjie Yan, Ling Ding. The structure and stability of pullback attractors for 3D BrinkmanForchheimer equation with delay. Electronic Research Archive, 2020, 28 (4) : 13951418. doi: 10.3934/era.2020074 
[18] 
Xi Zhao, Teng Niu. Impacts of horizontal mergers on dualchannel supply chain. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2020173 
[19] 
Mahir Demir, Suzanne Lenhart. A spatial food chain model for the Black Sea Anchovy, and its optimal fishery. Discrete & Continuous Dynamical Systems  B, 2021, 26 (1) : 155171. doi: 10.3934/dcdsb.2020373 
[20] 
Amru Hussein, Martin Saal, Marc Wrona. Primitive equations with horizontal viscosity: The initial value and The timeperiodic problem for physical boundary conditions. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020398 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]