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Regularity and separation from potential barriers for the Cahn-Hilliard equation with singular potential
We discuss regularity and separation from potential barriers of solutions of the Cahn–Hilliard equation with singular potentials. Then we show that the same results can be obtained also for the non-isothermal, conserved Caginalp sys...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Convergence to steady states of solutions of the Cahn-Hilliard and Caginalp equations with dynamic boundary conditions
We consider a solution of the Cahn-Hilliard equation or an associated Caginalp problem with dynamic boundary condition in the case of a general potential and prove that under some conditions on the potential it converges, as time go...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The compressible Navier-Stokes-Cahn-Hilliard equations with dynamic boundary conditions
We consider the compressible Navier-Stokes-Cahn-Hilliard system describing the behavior of a binary mixture of compressible, viscous and macroscopically immiscible fluids. The equations are endowed with dynamic boundary conditions w...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Complete classification of local conservation laws for generalized Cahn-Hilliard-Kuramoto-Sivashinsky equation
In this paper, we consider nonlinear multidimensional Cahn-Hilliard and Kuramoto-Sivashinsky equations that have many important applications in physics to as the generalized Cahn-Hilliard-Kuramoto-Sivashinsky equat...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On the development of Cahn-Hilliard Navier-Stokes numerical solver within OpenFOAM framework
on diffuse interface is Cahn-Hilliard model, offering many advantages, including mass tension with a well-established theory from non-equilibrium thermodynamics. This contribution presents Cahn-Hilliard N...
Applied mathematics
- 2022 •
- D •
- Link
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D - Stať ve sborníku
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A Higher Order Nonconforming Virtual Element Method for the Cahn-Hilliard Equation
In this paper we develop a fully nonconforming virtual element method of arbitrary approximation order for the two dimensional Cahn-Hilliard equation. We carry out the error analysis for the semidiscrete (continuous-in-time) scheme ...
Applied mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Numerical Studies of Cahn-Hilliard Equation and Applications in Image Processing
Not available...
BA - Obecná matematika
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
Strong solutions for two-dimensional nonlocal Cahn?Hilliard?Navier?Stokes systems
A well-known diffuse interface model for incompressible isothermal mixtures of two immiscible fluids consists of the Navier-Stokes system coupled with a convective Cahn-Hilliard equation. In some recent contributions the standard
BA - Obecná matematika
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity
We analyze a diffuse interface model describing the behavior of a mixture of two incompressible fluids. More precisely, we consider Navier-Stokes type equations with power-law like shear dependent viscosity. Such equations are nonlinearly coupled wit...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On weak solutions to a diffuse interface model of a binary mixture of compressible fluids
We consider the Euler-Cahn-Hilliard system proposed by Lowengrub and Truskinovsky describing the motion of a binary mixture of compressible fluids. We show that the associated initial-value problem possesses infinitely many global-i...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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