Optimal Distributed Control of a Stochastic Cahn--Hilliard Equation
From MaRDI portal
Publication:5243164
DOI10.1137/18M1222223zbMath1425.35090arXiv1810.09292WikidataQ126867160 ScholiaQ126867160MaRDI QIDQ5243164
Publication date: 15 November 2019
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.09292
optimal controlphase separationfirst-order optimality conditionsadjoint state systemstochastic Cahn-Hilliard equationlinearized state system
Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
Related Items
A stochastic Allen-Cahn-Navier-Stokes system with singular potential, Refined existence and regularity results for a class of semilinear dissipative SPDEs, Optimal control of the FitzHugh-Nagumo stochastic model with nonlinear diffusion, A \(C^0\) weak Galerkin method for linear Cahn-Hilliard-cook equation with random initial condition, Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation, The stochastic Cahn–Hilliard equation with degenerate mobility and logarithmic potential, Optimal control of stochastic phase-field models related to tumor growth
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A stochastic maximum principle with dissipativity conditions
- A nonlocal stochastic Cahn-Hilliard equation
- A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions
- A variational approach to a Cahn-Hilliard model in a domain with nonpermeable walls
- A numerical analysis of the Cahn-Hilliard equation with non-permeable walls
- Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials
- Global mild solutions and attractors for stochastic viscous Cahn-Hilliard equation
- Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
- The Cahn-Hilliard equation with logarithmic potentials
- Stochastic Cahn-Hilliard equation with singular nonlinearity and reflection
- A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions
- Existence and regularity of solution for a stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion
- On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
- On the Cahn-Hilliard equation
- Compact sets in the space \(L^ p(0,T;B)\)
- A variational approach to dissipative SPDEs with singular drift
- A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity
- Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise
- Stochastically forced compressible fluid flows
- Singular stochastic Allen-Cahn equations with dynamic boundary conditions
- On the stochastic Cahn-Hilliard equation with a singular double-well potential
- Existence and uniqueness of solutions to singular Cahn-Hilliard equations with nonlinear viscosity terms and dynamic boundary conditions
- Martingale and stationary solutions for stochastic Navier-Stokes equations
- Weak convergence and empirical processes. With applications to statistics
- Existence of strong solutions for Itô's stochastic equations via approximations
- Viscous Cahn-Hilliard equation. II: Analysis
- Analysis and optimal boundary control of a nonstandard system of phase field equations
- Distributed optimal control of a nonstandard system of phase field equations
- On a doubly nonlinear Cahn-Hilliard-Gurtin system
- On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential
- A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles
- Cahn-Hilliard equation with dynamic boundary conditions and mass constraint on the boundary
- Stability of strong solutions for a model of incompressible two-phase flow under thermal fluctuations
- Well-posedness for a pseudomonotone evolution problem with multiplicative noise
- Ergodic maximum principle for stochastic systems
- Degenerate parabolic stochastic partial differential equations
- Conservative stochastic Cahn-Hilliard equation with reflection
- A revisit to \(W^n_2\)-theory of super-parabolic backward stochastic partial differential equations in \(\mathbb R^d\)
- Stochastic Maximum Principle for Optimal Control of a Class of Nonlinear SPDEs with Dissipative Drift
- Optimal Control of an Allen--Cahn Equation with Singular Potentials and Dynamic Boundary Condition
- From the viscous Cahn–Hilliard equation to a regularized forward-backward parabolic equation
- Optimal Relaxed Control of Dissipative Stochastic Partial Differential Equations in Banach Spaces
- Distributed Optimal Control of the Cahn–Hilliard System Including the Case of a Double-Obstacle Homogeneous Free Energy Density
- Optimal Boundary Control of a Viscous Cahn--Hilliard System with Dynamic Boundary Condition and Double Obstacle Potentials
- Necessary stochastic maximum principle for dissipative systems on infinite time horizon
- Stochastic Cahn–Hilliard Equation with Double Singular Nonlinearities and Two Reflections
- On the stochastic Cahn-Hilliard equation
- A global existence and uniqueness result for a stochastic Allen–Cahn equation with constraint
- Stochastic Cahn-Hilliard equation
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A Maximum Principle for Optimal Control of Stochastic Evolution Equations
- Optimal Distributed Control of a Nonlocal Convective Cahn--Hilliard Equation by the Velocity in Three Dimensions
- Stochastic maximum principle for optimal control of SPDEs
- Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems
