Gavin Pandya

most citedAsymptotically self-similar shock formation for 1d fractal Burgers equation

7 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2022

Further Study on Domains and Quasihyperbolic Distances

Shusen Ding, Dylan Helliwell, Gavin Pandya +1

We establish constructive geometric tools for determining when a domain is $L^{s}$ -averaging and obtain upper and lower bounds for the $L^{s}$ -integrals of the quasihyperbolic distance…

physics.flu-dyn2022

3D Interface Models for Rayleigh-Taylor Problems

Gavin Pandya, Steve Shkoller

We derive interface models for 3D Rayleigh-Taylor instability (RTI), making use of a novel asymptotic expansion in the non-locality of the fluid flow. These interface models are de…

math.AP2021★ 7 cited

Asymptotically self-similar shock formation for 1d fractal Burgers equation

Kyle R. Chickering, Ryan C. Moreno-Vasquez, Gavin Pandya

For $0 < α < \frac{1}{3}$ we construct unique solutions to the fractal Burgers equation $\partial_{t} u + u \partial_{x} u + (- Δ)^{α} u = 0$ which develop a first shock in finite time, starting…