Results 51 to 60 of about 1,208,780 (193)
Carleman estimates; Observability; Riemann ...
Triggiani, Roberto, Yao, P. F.
core +1 more source
Addressing ecological challenges from a quantum computing perspective
Abstract With increased access to data and the advent of computers, the use of statistical tools and numerical simulations is becoming commonplace for ecologists. These approaches help improve our understanding of ecological phenomena and their underlying mechanisms in increasingly complex environments.
Maxime Clenet +2 more
wiley +1 more source
We establish Carleman estimates for singular/degenerate parabolic Dirichlet problems with degeneracy and singularity occurring in the interior of the spatial domain.
Fragnelli Genni, Mugnai Dimitri
doaj +1 more source
Sharp Lp Carleman estimates and unique continuation [PDF]
The authors prove sharp \(L^{p}\) Carleman estimates and the corresponding unique continuation property for a second order real principal type differential equation \(P(x,D) u+V(x) u=0\) with critical potential \(V\in L_{\text{loc}}^{n/2}\) (where \(n\geq 3\)) across a nonchacteristic hypersurface under a pseudo\-convexity assumption.
openaire +3 more sources
Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
ABSTRACT This study introduces a framework for learning a low‐depth surrogate quantum circuit (SQC) that approximates the nonlinear, dissipative, and hence non‐unitary Bhatnagar–Gross–Krook (BGK) collision operator in the lattice Boltzmann method (LBM) for the D2Q9$$ {D}_2{Q}_9 $$ lattice.
Monica Lăcătuş, Matthias Möller
wiley +1 more source
Carleman and Observability Estimates for Stochastic Wave Equations [PDF]
Based on a fundamental identity for stochastic hyperbolic-like operators, we derive in this paper a global Carleman estimate (with singular weight function) for stochastic wave equations. This leads to an observability estimate for stochastic wave equations with non-smooth lower order terms.
openaire +3 more sources
No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi +3 more
wiley +1 more source
Null controllability of a coupled system of degenerate parabolic equations with lower order terms
This article concerns the null controllability of a control system governed by coupled degenerate parabolic equations with lower order terms. For these equations, the convection terms cannot be controlled by the diffusion terms.
Jianing Xu, Qian Zhou, Yuanyuan Nie
doaj
Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems
This paper is concerned with exact null controllability analysis of nonlinear KdV-Burgers equation with memory. The proposed approach relies upon regression tool to prove controllability property of linearized KdV-Burgers equation via Carleman estimates.
Rajagounder Ravi Kumar +2 more
doaj +1 more source
Koopman‐Based Nonlinear Identification and Model Predictive Control of a Turbofan Engine
A Koopman model is identified using a metaheuristic extended dynamic model decompostion and an adaptive Koopman model predictive control framework is proposed. Simulation results indicate improved robustness of the MPC controller relative to benchmark methods.
David Grasev
wiley +1 more source

