It is obvious from Eqs 15 and 17 that CR is identical to zero in irrotational
(extensional) flows, while in simple shear flows, CR is given by
Considering the full irrotational
water wave system with surface tension and no gravity in two dimensions (the capillary waves systems), Ionescu and Pusateri prove global regularity and modified scattering for suitably small and localized perturbations of a flat interface.
(Brady, Anderson 2013) Robert Brady in "The Irrotational
motion of Compressible Inviscid Fluid" outlines a comprehensive physical mapping between quantum mechanical theory and fluid dynamics in which he not only provides an analog for gravity but also introduces the concept of a relativistic quasiparticle called a 'sonon' which exhibits spin 1/2 symmetry (Brady 2013).
Some Finite Difference Methods for One Dimensional Burger's Equation for Irrotational
Incompressible Flow Problem, Pakistan Journal of Engineering & Applied Sciences 9: 13-16.
The basic assumptions are that the fluid is inviscid, compressible, or incompressible, with irrotational
motion and small amplitude.
The virtual mass method considers the ideal fluid (incompressible, inviscid, and irrotational
Then the perturbation approach to Euler's equations for the irrotational
motion of inviscid fluid is applied.
It is assumed that the fluid in each layer is incompressible and inviscid; and the flow is irrotational
. In two-layer fluid system, the time-harmonic waves of a particular mode can propagate with two-different wave numbers: waves with lower wave number propagate in the upper layer and the waves with higher wave number propagate in the lower layer.
Boussinesq equation was derived for wave field without energy dissipation under the assumption of inviscid and irrotational
flow, and is not theoretically applicable to wave fields with energy dissipation, such as breaking waves and turbulent flow field around coastal structures.
Ambrosi  given the Hamiltonain formulation subject to the gravity force for two different irrotational
isoentropic fluids density and evaluated the momentum potential density and canonical variables.
Unlike the case for the receive coil in the longitudinal direction, the optimal source for the receive coil in the transverse direction requires both rotational and irrotational
The governing equations for an acoustic fluid can be derived using the following assumptions for the compressible fluid: the fluid is inviscid; the fluid only undergoes small translations; and the fluid is irrotational
. Thereby, the governing equations for an acoustic fluid are the equation of motion