D. Viswanath

most citedHeteroclinic connections in plane Couette flow

88 citations · 88 across the 1 of their papers we have counts for

collaborators

2 papers

physics.flu-dyn2008★ 88 cited

Heteroclinic connections in plane Couette flow

Jonathan Halcrow, John F. Gibson, Predrag Cvitanović +1

Plane Couette flow transitions to turbulence for Re~325 even though the laminar solution with a linear profile is linearly stable for all Re (Reynolds number). One starting point f…

math.DS1999

Convergence of numerical ODE solvers and Lyapunov's theory of stability

Divakar Viswanath

For the ordinary differential equation (ODE) $x ˙ (t) = f (t, x)$ , $x (0) = x_{0}$ , $t \geq 0$ , $x \in R^{d}$ , assume $f$ to be at least continuous in $t$ and locally Lipshitz in $x$ , an…