3 problems

Let $E(\lambda,\eta,\xi)$ be the Evans function associated with the hydraulic-wave spectral problem, and let $\varepsilon(\lambda,\eta,\xi)$ be the characteristic determinant of th…

Let $\alpha$ and $\beta$ be parameters in the Ginzburg–Landau equation. For $\alpha=\beta\neq 0$, consider the Cahn–Hilliard equation … with real-valued coefficients $\nu_2$,…

Let $U^{(\epsilon)}_j(t)$ be a family of slow/oscillatory solutions, let ${\underline u}^{k}(\Theta)$ denote a one-periodic periodic traveling-wave profile with wavenumber $k$, and…