The mathematics of thin structures (Q5058113)

From MaRDI portal

Jump to:navigation, search

scientific article; zbMATH DE number 7626179

Language	Label	Description	Also known as
English	The mathematics of thin structures	scientific article; zbMATH DE number 7626179

Statements

scholarly article

0 references

The mathematics of thin structures (English)

0 references

Jean-François Babadjian

0 references

Gilles A. Francfort

0 references

0 references

Giovanni Di Fratta

0 references

0 references

Cyrill B. Muratov

0 references

Quarterly of Applied Mathematics

0 references

publication date

2 December 2022

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1090/qam/1628

0 references

Existence and regularity for mixtures of micromagnetic materials

0 references

The metric-restricted inverse design problem

0 references

Brittle fracture in linearly elastic plates

0 references

Homogenization of composite ferromagnetic materials

0 references

Liouville type results for local minimizers of the micromagnetic energy

0 references

Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi

0 references

Fine properties of functions with bounded deformation

0 references

0 references

THE NEUMANN SIEVE PROBLEM AND DIMENSIONAL REDUCTION: A MULTISCALE APPROACH

0 references

The nonlinear membrane energy: Variational derivation under the constraint ``det\(\nabla u>\)0''

0 references

Geometry and kinematics of two Skyrmions

0 references

Quasistatic evolution of a brittle thin film

0 references

Lower Semicontinuity of Quasi-convex Bulk Energies in SBV and Integral Representation in Dimension Reduction

0 references

Traces of functions of bounded deformation

0 references

Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination

0 references

Convexity conditions and existence theorems in nonlinear elasticity

0 references

Existence and stability of viscoelastic shock profiles

0 references

Compactness and lower semicontinuity properties in \(SBD(\Omega)\)

0 references

A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree \(\pm 1\) harmonic maps from \(\mathbb{R}^2\) to \(\mathbb{S}^2\)

0 references

An asymptotic study of the debonding of thin films

0 references

Plates with incompatible prestrain

0 references

0 references

A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\)

0 references

0 references

The variational approach to fracture

0 references

0 references

Brittle thin films

0 references

0 references

0 references

Very weak solutions to the two-dimensional Monge-Ampére equation

0 references

Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls

0 references

THIN LAYERS IN MICROMAGNETISM

0 references

One-dimensional Néel walls under applied external fields

0 references

0 references

Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy

0 references

0 references

0 references

h-Principle and Rigidity for C 1,α Isometric Embeddings

0 references

0 references

Derivation of Elastic Theories for Thin Sheets and the Constraint of Incompressibility

0 references

Phase field approximation of cohesive fracture models

0 references

Confining thin elastic sheets and folding paper

0 references

Rigorous Derivation of Föppl’s Theory for Clamped Elastic Membranes Leads to Relaxation

0 references

An introduction to \(\Gamma\)-convergence

0 references

Generalised functions of bounded deformation

0 references

Fracture models as \(\Gamma\)-limits of damage models

0 references

Homogenization of chiral magnetic materials: a mathematical evidence of Dzyaloshinskii's predictions on helical structures

0 references

Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction

0 references

0 references

A Nash-Kuiper theorem for \(C^{1,\frac{1}{5}-\delta}\) immersions of surfaces in 3 dimensions

0 references

On De Giorgi’s conjecture and beyond

0 references

Energy minimizers for large ferromagnetic bodies

0 references

Hysteresis and imperfection sensitivity in small ferromagnetic particles

0 references

2-D stability of the Néel wall

0 references

0 references

A reduced theory for thin-film micromagnetics

0 references

Repulsive Interaction of Néel Walls, and the Internal Length Scale of the Cross-Tie Wall

0 references

0 references

The Newtonian potential and the demagnetizing factors of the general ellipsoid

0 references

Micromagnetics of curved thin films

0 references

An estimate of the blow-up of Lebesgue norms in the non-tempered case

0 references

Symmetry Properties of Minimizers of a Perturbed Dirichlet Energy with a Boundary Penalization

0 references

Variational Principles of Micromagnetics Revisited

0 references

On a Sharp Poincaré-Type Inequality on the 2-Sphere and its Application in Micromagnetics

0 references

Differential forms and applications. Transl. from the Portuguese

0 references

A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types

0 references

Erratum: Existence of 3D Skyrmions

0 references

0 references

Asymptotic Analysis of Ambrosio--Tortorelli Energies in Linearized Elasticity

0 references

Revisiting brittle fracture as an energy minimization problem

0 references

0 references

Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.

0 references

A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity

0 references

A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence

0 references

One-dimensional magnetic domain walls

0 references

0 references

On a conjecture of De Giorgi and some related problems

0 references

VI. The phenomena of rupture and flow in solids

0 references

0 references

Geometry, analysis, and morphogenesis: Problems and prospects

0 references

Gaussian curvature as an identifier of shell rigidity

0 references

Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells

0 references

A \(\Gamma \)-convergence result for Néel walls in micromagnetics

0 references

Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds

0 references

Vortex energy and 360° Néel walls in thin-film micromagnetics

0 references

Global Jacobian and \(\Gamma\)-convergence in a two-dimensional Ginzburg-Landau model for boundary vortices

0 references

Entropy method for line-energies

0 references

A zigzag pattern in micromagnetics

0 references

Néel walls with prescribed winding number and how a nonlocal term can change the energy landscape

0 references

Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics

0 references

Another thin-film limit of micromagnetics

0 references

Domain structure of bulk ferromagnetic crystals in applied fields near saturation

0 references

Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy

0 references

\(\Gamma\)-limit for two-dimensional charged magnetic Zigzag domain walls

0 references

0 references

A Riemannian approach to reduced plate, shell, and rod theories

0 references

Ginzburg-Landau vortices driven by the Landau-Lifshitz-Gilbert equation

0 references

0 references

The membrane shell model in nonlinear elasticity: A variational asymptotic derivation

0 references

The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity

0 references

Quantitative immersability of Riemann metrics and the infinite hierarchy of prestrained shell models

0 references

Dimension Reduction for Thin Films with Transversally Varying Prestrain: Oscillatory and Nonoscillatory Cases

0 references

The Föppl-von Kármán equations for plates with incompatible strains

0 references

The Monge-Ampère constraint: matching of isometries, density and regularity, and elastic theories of shallow shells

0 references

A nonlinear theory for shells with slowly varying thickness

0 references

Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity

0 references

The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells

0 references

A local and global well-posedness results for the general stress-assisted diffusion systems

0 references

The uniform Korn-Poincaré inequality in thin domains

0 references

A note on the optimal constants in Korn\'s and geometric rigidity estimates in bounded and unbounded domains

0 references

Variational models for prestrained plates with Monge-Ampère constraint.

0 references

Scaling laws for non-Euclidean plates and the<i>W</i><sup>2,2</sup>isometric immersions of Riemannian metrics

0 references

The Infinite Hierarchy of Elastic Shell Models: Some Recent Results and a Conjecture

0 references

Convex integration for the Monge-Ampère equation in two dimensions

0 references

Plates with incompatible prestrain of high order

0 references

Lattice solutions in a Ginzburg-Landau model for a chiral magnet

0 references

0 references

One-dimensional domain walls in thin ferromagnetic films with fourfold anisotropy

0 references

Edge domain walls in ultrathin exchange-biased films

0 references

One-dimensional in-plane edge domain walls in ultrathin ferromagnetic films

0 references

Fracture and plastic models as Γ-limits of damage models under different regimes

0 references

Mixed Mode Cracking in Layered Materials

0 references

Fracture and debonding of a thin film on a stiff substrate: analytical and numerical solutions of a one-dimensional variational model

0 references

A variational model for fracture and debonding of thin films under in-plane loadings

0 references

On the asymptotic derivation of Winkler-type energies from 3D elasticity

0 references

Geometry of Skyrmions

0 references

The logarithmic tail of Néel walls

0 references

Chiral skyrmions in the plane

0 references

Curvature-stabilized skyrmions with angular momentum

0 references

0 references

The gradient theory of phase transitions and the minimal interface criterion

0 references

Transverse domain walls in thin ferromagnetic strips

0 references

Geometrically constrained walls in two dimensions

0 references

Boundary vortices for thin ferromagnetic films

0 references

Optimal grid-based methods for thin film micromagnetics simulations

0 references

Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii–Moriya interaction

0 references

Uniqueness of one-dimensional Néel wall profiles

0 references

Acoustic and electromagnetic equations. Integral representations for harmonic problems

0 references

The concertina pattern. From micromagnetics to domain theory

0 references

Domain branching in uniaxial ferromagnets: asymptotic behavior of the energy

0 references

0 references

Quasistatic delamination problem

0 references

MICROMAGNETICS OF THIN SHELLS

0 references

A mechanism of magnetic hysteresis in heterogeneous alloys

0 references

Functions of bounded deformation

0 references

Un espace fonctionnel pour les équations de la plasticité

0 references

MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE

0 references

0 references

Bloch Wall Excitation. Application to Nuclear Resonance in a Bloch Wall

0 references

Crack patterns in thin films

0 references

Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells

0 references

Quasiconvex functions, \(SO(n)\) and two elastic wells

0 references

Identifiers

10.1090/qam/1628

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

zbMATH DE Number

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5058113

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q5058113&oldid=37466653"