A stochastic Allen-Cahn-Navier-Stokes system with singular potential
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Publication:6200744
DOI10.1016/j.jde.2023.12.043arXiv2205.10521OpenAlexW4391073986WikidataQ129621576 ScholiaQ129621576MaRDI QIDQ6200744
Maurizio Grasselli, Luca Scarpa, Andrea Di Primio
Publication date: 20 February 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.10521
logarithmic potentialpathwise uniquenessmartingale solutionsAllen-Cahn-Navier-Stokes systemstochastic two-phase flow
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Liquid-liquid two component flows (76T06)
Cites Work
- Unnamed Item
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- Blow-up criterion for an incompressible Navier-Stokes/Allen-Cahn system with different densities
- Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities
- On the well-posedness of the stochastic Allen-Cahn equation in two dimensions
- Triviality of the 2D stochastic Allen-Cahn equation
- On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynamic framework
- Stochastic partial differential equations: an introduction
- Two-phase incompressible flows with variable density: an energetic variational approach
- On the existence and uniqueness of solution to a stochastic 2D Cahn-Hilliard-Navier-Stokes model
- Trajectory attractors for binary fluid mixtures in 3D
- On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework
- Strong solutions for an incompressible Navier-Stokes/Allen-Cahn system with different densities
- Stochastic Cahn-Hilliard equation with singular nonlinearity and reflection
- Strong solutions for the stochastic Cahn-Hilliard-Navier-Stokes system
- Well-posedness of the two-dimensional Abels-Garcke-Grün model for two-phase flows with unmatched densities
- Nucleation in the one-dimensional stochastic Cahn-Hilliard model
- Longtime behavior for a model of homogeneous incompressible two-phase flows
- On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
- Compact sets in the space \(L^ p(0,T;B)\)
- Existence and regularity of the pressure for the stochastic Navier-Stokes equations
- On the convergence of a stochastic 3D globally modified two-phase flow model
- Gagliardo-Nirenberg inequalities and non-inequalities: the full story
- Stochastic Allen-Cahn equation with mobility
- Singular stochastic Allen-Cahn equations with dynamic boundary conditions
- On the stochastic Cahn-Hilliard equation with a singular double-well potential
- Martingale and stationary solutions for stochastic Navier-Stokes equations
- Weak convergence and empirical processes. With applications to statistics
- Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type
- Stochastic phase field \(\alpha \)-Navier-Stokes vesicle-fluid interaction model
- A diffuse interface model of a two-phase flow with thermal fluctuations
- Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation
- The Navier-Stokes-Cahn-Hilliard equations for mildly compressible binary fluid mixtures
- Approximation of a stochastic two-phase flow model by a splitting-up method
- The stochastic viscous Cahn-Hilliard equation: well-posedness, regularity and vanishing viscosity limit
- Random separation property for stochastic Allen-Cahn-type equations
- On weak martingale solutions to a stochastic Allen-Cahn-Navier-Stokes model with inertial effects
- Stochastic Allen-Cahn equation with logarithmic potential
- Weak and strong solutions to the nonhomogeneous incompressible Navier-Stokes-Cahn-Hilliard system
- Analysis of some splitting schemes for the stochastic Allen-Cahn equation
- Stability of strong solutions for a model of incompressible two-phase flow under thermal fluctuations
- Conservative stochastic Cahn-Hilliard equation with reflection
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- Stochastic Cahn–Hilliard Equation with Double Singular Nonlinearities and Two Reflections
- Well-posedness of an isothermal diffusive model for binary mixtures of incompressible fluids
- On the stochastic Cahn-Hilliard equation
- On the weak solutions to a stochastic two-phase flow model
- On a diffuse interface model for a two-phase flow of compressible viscous fluids
- ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
- Nonlocal reaction—diffusion equations and nucleation
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- A global existence and uniqueness result for a stochastic Allen–Cahn equation with constraint
- On the existence and uniqueness of solution to a stochastic 2D Allen–Cahn–Navier–Stokes model
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- Stochastic Cahn-Hilliard equation
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- The stochastic Cahn–Hilliard equation with degenerate mobility and logarithmic potential
- Large deviation for a 2D Allen–Cahn–Navier–Stokes model under random influences
- Stochastic Equations in Infinite Dimensions
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Weak-strong uniqueness for Navier-Stokes/Allen-Cahn system
- Uniqueness and Regularity for the Navier--Stokes--Cahn--Hilliard System
- Optimal Distributed Control of a Stochastic Cahn--Hilliard Equation
- Relative energy approach to a diffuse interface model of a compressible two‐phase flow
- Second phase spinodal decomposition for the Cahn-Hilliard-Cook equation
- Motion of a Droplet for the Stochastic Mass-Conserving Allen--Cahn Equation
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
- Optimal control of stochastic phase-field models related to tumor growth
- Allen-Cahn-Navier-Stokes-Voigt systems with moving contact lines
- The Allen-Cahn equation with generic initial datum
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