241 citations · 241 across the 2 of their papers we have counts for
6 papers
Efficient quantum algorithm for dissipative nonlinear differential equations
Jin-Peng Liu, Herman Ãie Kolden, Hari K. Krovi +3
Nonlinear differential equations model diverse phenomena but are notoriously difficult to solve. While there has been extensive previous work on efficient quantum algorithms for li…
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…
Quantum algorithms for linear and non-linear fractional reaction-diffusion equations
Dong An, Konstantina Trivisa
High-dimensional fractional reaction-diffusion equations have numerous applications in the fields of biology, chemistry, and physics, and exhibit a range of rich phenomena. While c…
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…