1k citations · 2.7k across the 23 of their papers we have counts for
23 papers
Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere
Adrian Constantin, Pierre Germain
This article is devoted to stationary solutions of Euler's equation on a rotating sphere, and to their relevance to the dynamics of stratospheric flows in the atmosphere of the out…
Liouville chains: new hybrid vortex equilibria of the 2D Euler equation
Vikas S. Krishnamurthy, Miles H. Wheeler, Darren G. Crowdy +1
A large class of new exact solutions to the steady, incompressible Euler equation on the plane is presented. These hybrid solutions consist of a set of stationary point vortices em…
Dressing Method for the Degasperis-Procesi Equation
Adrian Constantin, Rossen Ivanov
The soliton solutions of the Degasperis-Procesi equations are constructed by the implementation of the dressing method. The form of the one and two soliton solutions coincides with…
Approximations of steady periodic water waves in flows with constant vorticity
Adrian Constantin, Konstantinos Kalimeris, Otmar Scherzer
We provide high-order approximations to periodic travelling wave profiles and to the velocity field and the pressure beneath the waves, in flows with constant vorticity over a flat…
A penalization method for calculating the flow beneath travelling water waves of large amplitude
Adrian Constantin, Konstantinos Kalimeris, Otmar Scherzer
A penalization method for a suitable reformulation of the governing equations as a constrained optimization problem provides accurate numerical simulations for large-amplitude trav…
Global bifurcation of steady gravity water waves with critical layers
Adrian Constantin, Walter Strauss, Eugen Varvaruca
We construct large families of two-dimensional travelling water waves propagating under the influence of gravity in a flow of constant vorticity over a flat bed. A Riemann-Hilbert…