東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Research in mathematics of materials...

Espanol, Malena I.

Linked to FindBook

Google Book

Amazon

博客來

Research in mathematics of materials science

Record Type:	Electronic resources : Monograph/item
Title/Author:	Research in mathematics of materials science/ edited by Malena I. Espanol ... [et al.].
other author:	Espanol, Malena I.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xii, 515 p. :ill., digital ;24 cm.
[NT 15003449]:	Part 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. Şengül) -- 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)
Contained By:	Springer Nature eBook
Subject:	Materials science - Mathematics -
Online resource:	https://doi.org/10.1007/978-3-031-04496-0
ISBN:	9783031044960

Research in mathematics of materials science
Research in mathematics of materials science[electronic resource] /edited by Malena I. Espanol ... [et al.]. - Cham :Springer International Publishing :2022. - xii, 515 p. :ill., digital ;24 cm. - Association for Women in Mathematics series,v. 312364-5741 ;. - Association for Women in Mathematics series ;v. 31..

Part 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. Şengül) -- 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)

This 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.

ISBN: 9783031044960

Standard No.: 10.1007/978-3-031-04496-0doiSubjects--Topical Terms:

3606374
Materials science
--Mathematics

LC Class. No.: TA403 / .R47 2022

Dewey Class. No.: 620.110151

Research in mathematics of materials science
LDR:03843nmm a2200337 a 4500 001 2304277
003 DE-He213
005 20220927215730.0
006 m d
007 cr nn 008maaau
008 230409s2022 sz s 0 eng d
020 $a 9783031044960 $q (electronic bk.)
020 $a 9783031044953 $q (paper)
024 7 $a 10.1007/978-3-031-04496-0 $2 doi
035 $a 978-3-031-04496-0
040 $a GP $c GP
041 0 $a eng
050 4 $a TA403 $b .R47 2022
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 620.110151 $2 23
090 $a TA403 $b .R432 2022
245 0 0 $a Research in mathematics of materials science $h [electronic resource] / $c edited by Malena I. Espanol ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xii, 515 p. : $b ill., digital ; $c 24 cm.
490 1 $a Association for Women in Mathematics series, $x 2364-5741 ; $v v. 31
505 0 $a Part 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. Şengül) -- 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)
520 $a This 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.
650 0 $a Materials science $x Mathematics $x Research. $3 3606374
650 0 $a Women in mathematics. $3 528548
650 1 4 $a Differential Equations. $3 907890
650 2 4 $a Engineering Mechanics. $3 3538834
650 2 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Calculus of Variations and Optimization. $3 3538813
650 2 4 $a Numerical Analysis. $3 892626
700 1 $a Espanol, Malena I. $3 3606372
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Association for Women in Mathematics series ; $v v. 31. $3 3606373
856 4 0 $u https://doi.org/10.1007/978-3-031-04496-0
950 $a Mathematics and Statistics (SpringerNature-11649)