247 citations · 278 across the 26 of their papers we have counts for
28 papers
Linear Combination of Hamiltonian Simulation with Commutator Scaling
Junaid Aftab, Dong An, Konstantina Trivisa
The Linear Combination of Hamiltonian Simulation (LCHS) framework simulates dissipative linear dynamics by representing time evolution as an integral over unitary operators, which…
Stochastic Compressible Euler Equations with Frictional Damping: Existence of Martingale Solutions and Asymptotic Porous Medium-Like Behavior
Rongyi Dai, Jeffrey Kuan, Krutika Tawri +2
We study the one-dimensional isentropic compressible Euler equations with linear (frictional) damping, subject to multiplicative, white-in-time stochastic forcing. The system is po…
Statistically stationary solutions to the stochastic isentropic compressible Euler equations with linear damping
Jeffrey Kuan, Krutika Tawri, Konstantina Trivisa
We study the long time behavior of isentropic compressible Euler equations with linear damping driven by a white-in-time noise, on a one-dimensional torus. We prove the existence o…
Existence and long-time behavior of global strong solutions to a nonlinear model of tumor growth
Jeffrey Kuan, Konstantina Trivisa
In this manuscript, we study a nonlinear model of tumor growth, described by a coupled hyperbolic-elliptic system of partial differential equations. In this model, the compressible…
Multi-Product Hamiltonian Simulation with Explicit Commutator Scaling
Junaid Aftab, Dong An, Konstantina Trivisa
The well-conditioned multi-product formula (MPF), proposed by Low-Kliuchnikov-Wiebe (2019), is a high-order, time-independent Hamiltonian simulation algorithm that implements a lin…
On the Free Boundary Problems of 3-D Compressible Euler Equations Coupled or Uncoupled With a Nonlinear Poisson Equation
Tao Luo, Konstantina Trivisa, Huihui Zeng
For the problem of the non-isentropic compressible Euler Equations coupled with a nonlinear Poisson equation with the electric potential satisfying the Dirichlet boundary condition…