4 problems

Let $\overline{\mathcal{E}}$ denote the mean perturbation energy, let $V$ be a polynomial auxiliary function, and let the approximating points be the points shown in the source's f…

Let $\overline{\mathcal{E}}$ denote the mean perturbation energy and let $\overline{\mathcal{D}}$ denote the mean energy dissipation rate of a UPO in the nine-mode shear-flow model…

Let $\text{Re}$ denote the Reynolds number and let $\mathbf{a}_l$ be the laminar solution of the nine-mode shear-flow model. Let $\overline{\mathcal{D}}$ denote the mean energy dis…

Let $\text{Re}$ denote the Reynolds number, and let UPOs be unstable periodic orbits of the nine-mode shear-flow model. For a UPO, let $\overline{\mathcal{D}}$ denote its mean ener…