Physical Review E
Undular bore theory for the modified Korteweg–de Vries–Burgers equation
Author(s): L. F. Calazans de Brito and A. M. Kamchatnov
We consider nonlinear wave structures described by the modified Korteweg–de Vries equation, taking into account a small Burgers viscosity for the case of steplike initial conditions. The Whitham modulation equations are derived, which include the small viscosity as a perturbation. It is shown that f…
[Phys. Rev. E 109, 015102] Published Tue Jan 16, 2024
Universal scaling law for electrified sessile droplets on a lyophilic surface
Author(s): Dipin S. Pillai and Kirti Chandra Sahu
Electrified sessile droplets on solid surfaces are ubiquitous in nature as well as in several practical applications. Although the influence of electric field on pinned sessile droplets and soap bubbles has been investigated experimentally, the theoretical understanding of the stability limit of gen…
[Phys. Rev. E 109, L013101] Published Tue Jan 09, 2024