Navigating the complex landscape of shock filter Cahn-Hilliard equation: from regularized to entropy solutions

DOI10.1007/S00205-024-02057-WMaRDI QIDQ6634219

Publication date: 7 November 2024

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

Leray-Schauder fixed point theorem image inpainting Aubin-Lions lemma convexity splitting fully nonlinear partial differential equation Kruzhkov entropy type-admissibility conditions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Theoretical approximation in context of PDEs (35A35) Weak solutions to PDEs (35D30)

Cites Work

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Nonlinear total variation based noise removal algorithms
A Cahn-Hilliard system with a fidelity term for color image inpainting
A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
Unconditionally stable schemes for higher order inpainting
Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models
Oscillations and concentrations in weak solutions of the incompressible fluid equations
The Cahn-Hilliard equation with logarithmic potentials
Unconditionally stable methods for gradient flow using convex splitting Runge-Kutta scheme
Total variation wavelet inpainting
Neighborhood filters and PDE's
An efficient algorithm for solving the phase field crystal model
Boundary value problems for a higher-order parabolic equation with growing coefficients
Semigroups of linear operators and applications to partial differential equations
Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system
A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
A linear, high-order, and unconditionally energy stable scheme for the epitaxial thin film growth model without slope selection
Shock filter as the classifier for image inpainting problem using the Cahn-Hilliard equation
On existence and admissibility of singular solutions for systems of conservation laws
Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting
The Cahn-Hilliard equation and some of its variants
Improving the accuracy of convexity splitting methods for gradient flow equations
Vanishing viscosity solutions of nonlinear hyperbolic systems
A linearly second-order energy stable scheme for the phase field crystal model
Augmented Lagrangian method for a mean curvature based image denoising model
Mathematical models for local nontexture inpaintings
Fast solvers for Cahn-Hilliard inpainting
A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method
Optimal approximations by piecewise smooth functions and associated variational problems
Image Sharpening via Sobolev Gradient Flows
On the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard Equation with Logarithmic Nonlinear Terms
Feature-Oriented Image Enhancement Using Shock Filters
A Fractional Inpainting Model Based on the Vector-Valued Cahn--Hilliard Equation
Analysis of a Two-Scale Cahn–Hilliard Model for Binary Image Inpainting
Inpainting of Binary Images Using the Cahn–Hilliard Equation
On the C ¹ continuous discretization of non-linear gradient elasticity: A comparison of NEM and FEM based on Bernstein-Bézier patches
Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images
The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
User’s guide to viscosity solutions of second order partial differential equations
Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification
Analyticity of Solutions to Parabolic Evolutions and Applications
Convexity splitting in a phase field model for surface diffusion
Decomposition of images by the anisotropic Rudin-Osher-Fatemi model
Euler's Elastica and Curvature-Based Inpainting
Digital inpainting based on the Mumford–Shah–Euler image model
A Nonlocal Image Inpainting Problem Using the Linear Allen–Cahn Equation
The Cahn–Hilliard Equation: Recent Advances and Applications
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Theories of binary fluid mixtures: from phase-separation kinetics to active emulsions
Cahn--Hilliard Inpainting with the Double Obstacle Potential
Variational Image Regularization with Euler's Elastica Using a Discrete Gradient Scheme
The sharp-interface limit of the Cahn–Hilliard/Navier–Stokes model for binary fluids
Periodic Stationary Patterns Governed by a Convective Cahn--Hilliard Equation
A Complex Version of the Cahn--Hilliard Equation for Grayscale Image Inpainting
Nonlinear partial differential equations with applications
Weak solutions for the Cahn-Hilliard equation with degenerate mobility

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