Establishes Liouville-type theorems for stationary fractional Navier-Stokes in R^n under integrability and large-scale Morrey energy bounds, with corollary for finite fractional energy when n/3 ≤ α < (n+2)/3.
Quantum algorithms for nonlinear partial differential equations
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Presents LCNU-plus-embedding data loading for any polynomial Carleman-linearized autonomous system and applies it to the 3D LBE, yielding Ns ~ O(α²Q²) terms and explicit T-gate resource estimates for two solvers.
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Liouville-type theorems for the stationary fractional Navier-Stokes equations in $\mathbb{R}^n$
Establishes Liouville-type theorems for stationary fractional Navier-Stokes in R^n under integrability and large-scale Morrey energy bounds, with corollary for finite fractional energy when n/3 ≤ α < (n+2)/3.
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Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation
Presents LCNU-plus-embedding data loading for any polynomial Carleman-linearized autonomous system and applies it to the 3D LBE, yielding Ns ~ O(α²Q²) terms and explicit T-gate resource estimates for two solvers.