Generalized Multiscale Young Measures
DOI10.1137/19M1238848zbMath1445.28002arXiv1901.04755OpenAlexW3043045061MaRDI QIDQ3300867
Adolfo Arroyo-Rabasa, Johannes Diermeier
Publication date: 30 July 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.04755
homogenizationgeneralized Young measuremultiscale Young measure\( \Gamma \)-limit\( \mathcal{A}\)-free measure
Optimality conditions for problems involving partial differential equations (49K20) Variational problems in a geometric measure-theoretic setting (49Q20) Spaces of measures, convergence of measures (28A33) Integration and disintegration of measures (28A50)
Cites Work
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- On the structure of \({\mathcal A}\)-free measures and applications
- Characterization of generalized Young measures generated by symmetric gradients
- Oscillations and concentrations in weak solutions of the incompressible fluid equations
- Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
- Lower semicontinuity for integral functionals in the space of functions of bounded deformation via rigidity and Young measures
- Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity
- Homogenization of functionals with linear growth in the context of \(\mathcal A\)-quasiconvexity
- Characterization of generalized gradient Young measures generated by sequences in \(W^{1,1}\) and BV
- Homogenization of nonconvex integral functionals and cellular elastic materials
- Characterizations of Young measures generated by gradients
- Beyond Young measures
- Homogenization of free discontinuity problems
- Generalized surfaces in the calculus of variations. II
- Generalized surfaces in the calculus of variations
- A-Quasiconvexity: Relaxation and Homogenization
- Lower semicontinuity and Young measures in BV without Alberti's Rank-One Theorem
- Remarks on Chacon's Biting Lemma
- Homogenization and Two-Scale Convergence
- Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
- Multi-scale Young measures
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