Distributed optimal control of the 2D Cahn-Hilliard-Oberbeck-Boussinesq system for nonisothermal viscous two-phase flows
DOI10.1007/s00245-021-09759-7OpenAlexW3139021056MaRDI QIDQ832592
Publication date: 25 March 2022
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-021-09759-7
optimal controlGalerkin methodCahn-Hilliard equationoptimality systemtwo-phase flowsOberbeck-Boussinesq system
Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Heat equation (35K05) Weak solutions to PDEs (35D30) Flow control and optimization for incompressible viscous fluids (76D55) PDEs in connection with control and optimization (35Q93) Liquid-liquid two component flows (76T06) PDE constrained optimization (numerical aspects) (49M41)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions
- Blow-up criteria of smooth solutions for the Cahn-Hilliard-Boussinesq system with zero viscosity in a bounded domain
- Optimal control problem for viscous Cahn-Hilliard equation
- Optimal control for the convective Cahn-Hilliard equation in 2D case
- Representation and control of infinite dimensional systems
- A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions
- On some control problems in fluid mechanics
- An analysis of a phase field model of a free boundary
- Compact sets in the space \(L^ p(0,T;B)\)
- A regularity result for the Stokes problem in a convex polygon
- Nonlinear system for non-isothermal diffusive phase separation
- Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions
- Optimal control for a conserved phase field system with a possibly singular potential
- Existence result for a mixture of non-Newtonian flows with stress diffusion using the Cahn-Hilliard formulation
- Attractors for two-dimensional equations of thermal convection in the presence of the dissipation function
- A phase-field model of solidification with convection
- Optimal distributed control of two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with degenerate mobility and singular potential
- Phase separation in quasi-incompressible fluids: Cahn-Hilliard model in the Cattaneo-Maxwell framework
- Global well-posedness for the 2D Cahn-Hilliard-Boussinesq and a related system on bounded domains
- An optimal control problem for a generalized Boussinesq model: the time dependent case
- Optimal Distributed Control of a Nonlocal Cahn--Hilliard/Navier--Stokes System in Two Dimensions
- Optimal Control of an Allen--Cahn Equation with Singular Potentials and Dynamic Boundary Condition
- Optimal control of the convective Cahn–Hilliard equation
- Distributed Optimal Control of the Cahn–Hilliard System Including the Case of a Double-Obstacle Homogeneous Free Energy Density
- Global regularity for a coupled Cahn-Hilliard-Boussinesq system on bounded domains
- ON THE OBERBECK-BOUSSINESQ APPROXIMATION
- The Dynamics of a Conserved Phase Field System: Stefan-like, Hele-Shaw, and Cahn-Hilliard Models as Asymptotic Limits
- Error Estimates for the Numerical Approximation of a Distributed Control Problem for the Steady-State Navier–Stokes Equations
- Elliptic Partial Differential Equations of Second Order
- Optimal Control of Thermally Convected Fluid Flows
- Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
- 3. Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies
- Mathematical Modeling in Continuum Mechanics
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- A Discontinuous Galerkin Time-Stepping Scheme for the Velocity Tracking Problem
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Optimal Control of a Semidiscrete Cahn--Hilliard--Navier--Stokes System
- Nonlinear partial differential equations with applications
