article published yes Liang Shi author Björn Hof author 3A374330-F248-11E8-B48F-1D18A9856A870000-0003-2057-2754 Andreas Tilgner author BjHo department Glutamaterge synaptische Übertragung und Plastizität in hippocampalen Mikroschaltkreisen project Coriolis force effects on shear flows are important in geophysical and astrophysical contexts. We report a study on the linear stability and the transient energy growth of the plane Couette flow with system rotation perpendicular to the shear direction. External rotation causes linear instability. At small rotation rates, the onset of linear instability scales inversely with the rotation rate and the optimal transient growth in the linearly stable region is slightly enhanced ∼Re2. The corresponding optimal initial perturbations are characterized by roll structures inclined in the streamwise direction and are twisted under external rotation. At large rotation rates, the transient growth is significantly inhibited and hence linear stability analysis is a reliable indicator for instability. American Institute of Physics2014 eng 1539-3755 1312.5095 00033215580001310.1103/PhysRevE.89.013001 891 L. Shi, B. Hof, A. Tilgner, Physical Review E Statistical Nonlinear and Soft Matter Physics 89 (2014). Shi L, Hof B, Tilgner A. Transient growth of Ekman-Couette flow. <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>. 2014;89(1). doi:<a href="https://doi.org/10.1103/PhysRevE.89.013001">10.1103/PhysRevE.89.013001</a> Shi, L., Hof, B., &#38; Tilgner, A. (2014). Transient growth of Ekman-Couette flow. <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>. American Institute of Physics. <a href="https://doi.org/10.1103/PhysRevE.89.013001">https://doi.org/10.1103/PhysRevE.89.013001</a> L. Shi, B. Hof, and A. Tilgner, “Transient growth of Ekman-Couette flow,” <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>, vol. 89, no. 1. American Institute of Physics, 2014. Shi L, Hof B, Tilgner A. 2014. Transient growth of Ekman-Couette flow. Physical Review E Statistical Nonlinear and Soft Matter Physics. 89(1), 013001. Shi, Liang, Björn Hof, and Andreas Tilgner. “Transient Growth of Ekman-Couette Flow.” <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>. American Institute of Physics, 2014. <a href="https://doi.org/10.1103/PhysRevE.89.013001">https://doi.org/10.1103/PhysRevE.89.013001</a>. Shi, Liang, et al. “Transient Growth of Ekman-Couette Flow.” <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>, vol. 89, no. 1, 013001, American Institute of Physics, 2014, doi:<a href="https://doi.org/10.1103/PhysRevE.89.013001">10.1103/PhysRevE.89.013001</a>. 22262018-12-11T11:56:26Z2025-09-29T11:26:12Z