LEADER 05253nam 22007335 450 001 9910616212303321 005 20251113203817.0 010 $a3-031-04496-7 024 7 $a10.1007/978-3-031-04496-0 035 $a(MiAaPQ)EBC7101883 035 $a(Au-PeEL)EBL7101883 035 $a(CKB)24950425600041 035 $a(PPN)264956923 035 $a(OCoLC)1347376348 035 $a(DE-He213)978-3-031-04496-0 035 $a(EXLCZ)9924950425600041 100 $a20220927d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aResearch in Mathematics of Materials Science /$fedited by Malena I. Español, Marta Lewicka, Lucia Scardia, Anja Schlömerkemper 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (514 pages) 225 1 $aAssociation for Women in Mathematics Series,$x2364-5741 ;$v31 311 08$aPrint version: Español, Malena I. Research in Mathematics of Materials Science Cham : Springer International Publishing AG,c2022 9783031044953 320 $aIncludes bibliographical references and index. 327 $aPart I: Research Paper - Interaction between oscillation and singular perturbations in a one-dimensional phase-field model (I. Zeppieri) -- Grain growth and the effect of different time scales (Epshteyn) -- Regularity of minimizers for a general class of constrained energies in two-dimensional domains with applications to liquid crystals (P. Bauman) -- On some models in radiation hydrodynamic Poro-visco-elasticity in biomechanics - optimal control (L. Bociu) -- Global gradient estimate for a divergence problem and its application to the homogenization of a magnetic suspension (Y. Gorb) -- On static and evolutionary homogenization in crystal plasticity for stratified composites (E. Davoli) -- On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models (D'Elia) -- Existence of global solutions for 2D fluid-elastic interaction with small data (M. Luckas) -- Doubly nonlocal Cahn-Hillard equations. Wellposedness and asymptotic behavior (P. Radu) -- 3D image based stochastic micro-structure modelling of foams for simulating elasticity (K. Schladitz) -- Machine learning for failure analysis: a mathematical modelling perspective (Pérez-Velázquez) -- Invertibility of Orlicz-Sobolev maps (B. Stroffolini) -- Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain limiting theory (Y. ?engül) -- Generic for dissipative solids with bulk-interface interaction (M. Thomas) -- PART II: Review Papers - Phase separation in heterogeneous media (R. Venkataraman) -- Some recent results on 2d crystallization for sticky disc models and generalizations for systems of oriented particles (De Luca) -- Pattern formation for nematic liquid crystals-modelling, analysis, and applications (A. Majumdar) -- On applications of Herglotz-Nevanlinna functions in material sciences, I: classical theory and applications of sum rules (Yvonne Ou) -- On applications of Herglotz-Nevanlinna functions in material sciences, II: extended applications and generalized theory (Yvonne Ou) -- Rigidity and flexibility in the modelling of shape-memory alloys (A. Rüland).

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. 330 $aThis volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. The featured topics and methods draw on the fields of Calculus of Variations, Partial Differential Equations, Functional Analysis, Differential Geometry and Topology, as well as Numerical Analysis and Mathematical Modelling. Areas of applications include foams, fluid-solid interactions, liquid crystals, shape-memory alloys, magnetic suspensions, failure in solids, plasticity, viscoelasticity, homogenization, crystallization, grain growth, and phase-field models. 410 0$aAssociation for Women in Mathematics Series,$x2364-5741 ;$v31 606 $aDifferential equations 606 $aMechanics, Applied 606 $aDynamics 606 $aMathematical optimization 606 $aCalculus of variations 606 $aNumerical analysis 606 $aDifferential Equations 606 $aEngineering Mechanics 606 $aDynamical Systems 606 $aCalculus of Variations and Optimization 606 $aNumerical Analysis 615 0$aDifferential equations. 615 0$aMechanics, Applied. 615 0$aDynamics. 615 0$aMathematical optimization. 615 0$aCalculus of variations. 615 0$aNumerical analysis. 615 14$aDifferential Equations. 615 24$aEngineering Mechanics. 615 24$aDynamical Systems. 615 24$aCalculus of Variations and Optimization. 615 24$aNumerical Analysis. 676 $a620.11 676 $a620.110151 702 $aEspan?ol$b Malena I. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910616212303321 996 $aResearch in mathematics of materials science$93034240 997 $aUNINA