27 citations · 69 across the 10 of their papers we have counts for
12 papers
Conformal Parametrisation of Star-Shaped Domains and Persistence of Semilinear Elliptic Solutions
Gianni Arioli
We study the conformal parametrisation of smooth star-shaped planar domains and its dependence on perturbations of the boundary. The boundary correspondence of the normalized Riema…
Some bounds for the eigenfunctions of the Stokes problem under Navier boundary conditions in a cube
Gianni Arioli, Alessio Falocchi, Filippo Gazzola
We prove some bounds for the eigenfunctions of the Stokes problem under Navier boundary conditions in a cube.
Computer assisted proof of branches of stationary and periodic solution, and Hopf bifurcations, for dissipative PDEs
Gianni Arioli
We discuss an approach to the computer assisted proof of the existence of branches of stationary and periodic solutions for dissipative PDEs, using the Brussellator system with dif…
A Hopf bifurcation in the planar Navier-Stokes equations
Gianni Arioli, Hans Koch
We consider the Navier-Stokes equation for an incompressible viscous fluid on a square, satisfying Navier boundary conditions and being subjected to a time-independent force. As th…
Traveling wave solutions for the FPU chain: a constructive approach
Gianni Arioli, Hans Koch
Traveling waves for the FPU chain are constructed by solving the associated equation for the spatial profile of the wave. We consider solutions whose derivatives need not…
A model for stocks dynamics based on a non-Gaussian path integral
Giovanni Paolinelli, Gianni Arioli
We introduce a model for the dynamics of stock prices based on a non quadratic path integral. The model is a generalization of Ilinski's path integral model, more precisely we choo…