Optimal Controls for the Stochastic Compressible Navier--Stokes Equations

DOI10.1137/20M1345256zbMath1479.60139OpenAlexW3206497550MaRDI QIDQ5158371

Huaqiao Wang

Publication date: 22 October 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1345256

zbMATH Keywords

optimal controlstochastic Navier-Stokes equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Brownian motion (60J65) Optimal stochastic control (93E20) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Optimality conditions for problems involving randomness (49K45)

Cites Work

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• Global existence of martingale solutions to the three-dimensional stochastic compressible Navier-Stokes equations.
• Compressible fluids driven by stochastic forcing: the relative energy inequality and applications
• Stochastic nonlinear wave equations in local Sobolev spaces
• Existence of optimal and \(\varepsilon\)-optimal controls for the stochastic Navier-Stokes equation
• Optimal control for two-dimensional stochastic Navier-Stokes equations
• Stochastic partial differential equations in \(M\)-type 2 Banach spaces
• A PDE sensitivity equation method for optimal aerodynamic design
• Optimum aerodynamic design using the Navier-Stokes equations
• Existence of optimal controls for compressible viscous flow
• Impulse control of stochastic Navier-Stokes equations
• Weak convergence and empirical processes. With applications to statistics
• Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
• Deterministic and stochastic control of Navier-Stokes equation with linear, monotone, and hyperviscosities
• Local exact controllability for the one-dimensional compressible Navier-Stokes equation
• Strong solutions to stochastic wave equations with values in Riemannian manifolds
• Optimal Control Problems for Stochastic Reaction-Diffusion Systems with Non-Lipschitz Coefficients
• Stochastic Navier-Stokes equations for compressible fluids
• Suitable weak solutions to the Navier-Stokes equations of compressible viscous fluids
• Uniqueness in Law of the Itô Integral with Respect to Lévy Noise
• Optimal Controls for Stochastic Partial Differential Equations
• CONTROL PROBLEMS AND THEOREMS CONCERNING THE UNIQUE SOLVABILITY OF A MIXED BOUNDARY VALUE PROBLEM FOR THE THREE-DIMENSIONAL NAVIER-STOKES AND EULER EQUATIONS
• On the Existence of Optimal Relaxed Controls of Stochastic Partial Differential Equations
• An optimal control problem in exterior hydrodynamics
• Existence of optimal controls for viscous flow problems
• Mathematical Problems of Statistical Hydromechanics
• Random Perturbations of Viscous, Compressible Fluids: Global Existence of Weak Solutions
• Local strong solutions to the stochastic compressible Navier–Stokes system
• Optimal Controls of 3-Dimensional Navier--Stokes Equations with State Constraints
• Perspectives in Flow Control and Optimization
• Optimal control of unsteady compressible viscous flows
• Uniqueness for stochastic evolution equations in Banach spaces
• Controllability and Stabilizability of the Linearized Compressible Navier--Stokes System in One Dimension
• Optimal control of linearized compressible Navier–Stokes equations
• Optimal control for 3D stochastic Navier–Stokes equations
• On the existence of globally defined weak solutions to the Navier-Stokes equations

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