Critical points of the two-dimensional Ambrosio-Tortorelli functional with convergence of the phase-field energy
Fuente:
arXiv
Saved in:
| Main Authors: | Babadjian, Jean-François, Rakovsky, Martin, Rodiac, Rémy |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Critical points of the one dimensional Ambrosio-Tortorelli functional with an obstacle condition
by: Rakovsky, Martin
Published: (2024)
by: Rakovsky, Martin
Published: (2024)
Curvature penalization of strongly anisotropic interfaces models and their phase-field approximation
by: Babadjian, Jean-François, et al.
Published: (2025)
by: Babadjian, Jean-François, et al.
Published: (2025)
A weak energy identity for $(n+α)$-harmonic maps with a free boundary in a sphere
by: Martino, Dorian, et al.
Published: (2025)
by: Martino, Dorian, et al.
Published: (2025)
Stability conditions for mean-field limiting vorticities of the Ginzburg-Landau equations in 2D
by: Rodiac, Rémy
Published: (2023)
by: Rodiac, Rémy
Published: (2023)
Uniqueness, regularity and characteristic flow for a non strictly convex singular variational problem
by: Babadjian, Jean-Francois, et al.
Published: (2023)
by: Babadjian, Jean-Francois, et al.
Published: (2023)
On jump minimizing liftings for $\mathbb S^1$-valued maps and connections with Ambrosio-Tortorelli-type $Γ$-limits
by: Bellettini, Giovanni, et al.
Published: (2025)
by: Bellettini, Giovanni, et al.
Published: (2025)
Min-max $n$-harmonic maps of degree 1 with free-boundary into $\mathbb{S}^{n-1}$ in almost round balls
by: Martino, Dorian, et al.
Published: (2026)
by: Martino, Dorian, et al.
Published: (2026)
Spatial regularity for general yield criteria in dynamic and quasi-static perfect plasticity
by: Babadjian, Jean-François, et al.
Published: (2024)
by: Babadjian, Jean-François, et al.
Published: (2024)
Mean-field limit of 2D stationary particle systems with signed Coulombian interactions
by: Peszek, Jan, et al.
Published: (2024)
by: Peszek, Jan, et al.
Published: (2024)
Ginzburg-Landau minimizers with high topological degrees in an annulus
by: Aftalion, Amandine, et al.
Published: (2025)
by: Aftalion, Amandine, et al.
Published: (2025)
Existence, uniqueness and $L^2_t (H_x ^2) \cap L^\infty_t (H^1_x) \cap H^1_t (L^2_x) $ regularity of the gradient flow of the Ambrosio-Tortorelli functional
by: Cortopassi, Tommaso
Published: (2023)
by: Cortopassi, Tommaso
Published: (2023)
Critical weak-$L^{p}$ differentiability of singular integrals
by: Ambrosio, Luigi, et al.
Published: (2018)
by: Ambrosio, Luigi, et al.
Published: (2018)
Gamma convergence for a phase-field cohesive energy
by: Maggiorelli, Eleonora, et al.
Published: (2025)
by: Maggiorelli, Eleonora, et al.
Published: (2025)
Compensation effects for anisotropic energies of two-dimensional unit vector fields
by: Bronsard, Lia, et al.
Published: (2025)
by: Bronsard, Lia, et al.
Published: (2025)
Convergence of critical points for a phase-field approximation of 1D cohesive fracture energies
by: Bonacini, Marco, et al.
Published: (2023)
by: Bonacini, Marco, et al.
Published: (2023)
Nonlocal to local convergence of phase field systems with inertial term
by: Colli, Pierluigi, et al.
Published: (2024)
by: Colli, Pierluigi, et al.
Published: (2024)
A relaxation approach to the minimisation of the neo-Hookean energy in 3D
by: Barchiesi, Marco, et al.
Published: (2023)
by: Barchiesi, Marco, et al.
Published: (2023)
Continuity of critical points for 1-dimensional non-local energies
by: Carazzato, Davide, et al.
Published: (2025)
by: Carazzato, Davide, et al.
Published: (2025)
KPP transition fronts in a one-dimensional two-patch habitat
by: Hamel, François, et al.
Published: (2023)
by: Hamel, François, et al.
Published: (2023)
Homogenisation of phase-field functionals with linear growth
by: Colasanto, Francesco, et al.
Published: (2025)
by: Colasanto, Francesco, et al.
Published: (2025)
Gamma-convergence of nonlocal energies for partitions
by: Gabard, Thomas, et al.
Published: (2025)
by: Gabard, Thomas, et al.
Published: (2025)
Critical points of arbitrary energy for the Trudinger-Moser functional in planar domains
by: Malchiodi, Andrea, et al.
Published: (2022)
by: Malchiodi, Andrea, et al.
Published: (2022)
Critical points of the Moser-Trudinger functional on conical singular surfaces, I: compactness
by: Chen, Zhijie, et al.
Published: (2025)
by: Chen, Zhijie, et al.
Published: (2025)
Unifying local and nonlocal corrosion frameworks: A convergent nonlocal extension of the KKS phase-field model
by: Cyron, Christian J., et al.
Published: (2025)
by: Cyron, Christian J., et al.
Published: (2025)
Critical threshold for a two-species chemotaxis system with the energy critical exponent
by: Bian, Shen
Published: (2025)
by: Bian, Shen
Published: (2025)
A Lavrentiev phenomenon in the neo-Hookean model
by: Barchiesi, Marco, et al.
Published: (2026)
by: Barchiesi, Marco, et al.
Published: (2026)
On the global convergence of Wasserstein gradient flow of the Coulomb discrepancy
by: Boufadène, Siwan, et al.
Published: (2023)
by: Boufadène, Siwan, et al.
Published: (2023)
$Γ$-convergence for higher order nonlocal phase transitions
by: Chan, Hardy, et al.
Published: (2025)
by: Chan, Hardy, et al.
Published: (2025)
Reaction-diffusion equations in periodic media: convergence to pulsating fronts
by: Guo, Hongjun, et al.
Published: (2025)
by: Guo, Hongjun, et al.
Published: (2025)
Critical mean field equations for equilibrium turbulence with sign-changing prescribed functions
by: Sun, Linlin, et al.
Published: (2025)
by: Sun, Linlin, et al.
Published: (2025)
Local existence and uniqueness of solution to the two-dimensional inhomogeneous Prandtl equations by energy method
by: Gao, Jincheng, et al.
Published: (2024)
by: Gao, Jincheng, et al.
Published: (2024)
Doubling and the two-dimensional critical valued Lagrangian phase
by: Bhattacharya, Arunima, et al.
Published: (2025)
by: Bhattacharya, Arunima, et al.
Published: (2025)
Motion of a particle immersed in a two dimensional incompressible perfect fluid and point vortex dynamics
by: Sueur, Franck
Published: (2017)
by: Sueur, Franck
Published: (2017)
Global existence and optimal time decay rate to one-dimensional two-phase flow model
by: Huang, Xushan, et al.
Published: (2023)
by: Huang, Xushan, et al.
Published: (2023)
Singular and regular analysis for the free boundaries of two-phase inviscid fluids in gravity field
by: Du, Lili, et al.
Published: (2025)
by: Du, Lili, et al.
Published: (2025)
On the $ Γ$-convergence of the Allen-Cahn functional with boundary conditions
by: Gazoulis, Dimitrios
Published: (2023)
by: Gazoulis, Dimitrios
Published: (2023)
Green function rigidity for two dimensional sphere
by: Lai, Mijia, et al.
Published: (2026)
by: Lai, Mijia, et al.
Published: (2026)
Free boundary problem for two-dimensional ElectroHydroDynamic Equations with a gravity field
by: Du, Lili, et al.
Published: (2026)
by: Du, Lili, et al.
Published: (2026)
Error estimates for the highly efficient and energy stable schemes for the 2D/3D two-phase MHD
by: Zhang, Ke, et al.
Published: (2023)
by: Zhang, Ke, et al.
Published: (2023)
$Γ$-convergence and homogenisation for free discontinuity functionals with linear growth in the space of functions with bounded deformation
by: Maso, Gianni Dal, et al.
Published: (2026)
by: Maso, Gianni Dal, et al.
Published: (2026)
Similar Items
-
Critical points of the one dimensional Ambrosio-Tortorelli functional with an obstacle condition
by: Rakovsky, Martin
Published: (2024) -
Curvature penalization of strongly anisotropic interfaces models and their phase-field approximation
by: Babadjian, Jean-François, et al.
Published: (2025) -
A weak energy identity for $(n+α)$-harmonic maps with a free boundary in a sphere
by: Martino, Dorian, et al.
Published: (2025) -
Stability conditions for mean-field limiting vorticities of the Ginzburg-Landau equations in 2D
by: Rodiac, Rémy
Published: (2023) -
Uniqueness, regularity and characteristic flow for a non strictly convex singular variational problem
by: Babadjian, Jean-Francois, et al.
Published: (2023)