4 citations · 12 across the 8 of their papers we have counts for
8 papers
Local-in-time analytic solutions for an inviscid model of superfluidity in 3D
Pranava Chaitanya Jayanti
We address the existence of solutions for the inviscid version of the Hall-Vinen-Bekharevich-Khalatnikov equations in 3D, a macro-scale model of superfluidity. This system couples…
Fractional regularity, global persistence, and asymptotic properties of the Boussinesq equations on bounded domains
Mustafa Sencer Aydın, Pranava Chaitanya Jayanti
We address the long-time behavior of the 2D Boussinesq system, which consists of the incompressible Navier-Stokes equations driven by a non-diffusive density. We construct globally…
On the mass transfer in the 3D Pitaevskii model
Juhi Jang, Pranava Chaitanya Jayanti, Igor Kukavica
We examine a micro-scale model of superfluidity derived by Pitaevskii in 1959 which describes the interacting dynamics between superfluid He-4 and its normal fluid phase. This syst…
Small-data global existence of solutions for the Pitaevskii model of superfluidity
Juhi Jang, Pranava Chaitanya Jayanti, Igor Kukavica
We investigate a micro-scale model of superfluidity derived by Pitaevskii in 1959 to describe the interacting dynamics between the superfluid and normal fluid phases of Helium-4. T…
Uniqueness in a Navier-Stokes-nonlinear-Schrödinger model of superfluidity
Pranava Chaitanya Jayanti, Konstantina Trivisa
In a previous paper [Jayanti, P.C., Trivisa, K. Local Existence of Solutions to a Navier-Stokes-Nonlinear-Schrödinger Model of Superfluidity. J. Math. Fluid Mech. 24, 46 (2022)], t…
Local weak solutions to a Navier-Stokes-nonlinear-Schrödinger model of superfluidity
Pranava Chaitanya Jayanti, Konstantina Trivisa
In a 1959 paper by Pitaevskii, a macroscopic model of superfluidity was derived from first principles, to describe the interacting dynamics between the superfluid and normal fluid…
Global Regularity of the 2D HVBK equations
Pranava Chaitanya Jayanti, Konstantina Trivisa
The Hall-Vinen-Bekharevich-Khalatnikov (HVBK) equations are a macroscopic model of superfluidity at non-zero temperatures. For smooth, compactly supported data, we prove the global…
Bounded Statistics
Pranava Chaitanya Jayanti, Konstantina Trivisa
If two probability density functions (PDFs) have values for their first moments which are quite close to each other (upper bounds of their differences are known), can it be exp…