On material optimization in continuum dynamics

DOI10.1007/S10957-014-0678-4zbMath1330.35483OpenAlexW2092308931MaRDI QIDQ887101

Konstantin A. Lurie

Publication date: 28 October 2015

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-014-0678-4

zbMATH Keywords

relaxationdynamic materialsaccumulation of energyformation of clots

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) System identification (93B30) Optimization of other properties in solid mechanics (74P10) PDEs in connection with control and optimization (35Q93)

Cites Work

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• Optimal design under the one-dimensional wave equation
• Mathematical analysis of the waves propagation through a rectangular material structure in space-time
• Direct solution of an optimal layout problem for isotropic heat conductors with a volume fraction constraint
• Wave propagation and energy exchange in a spatio-temporal material composite with rectangular microstructure
• The extension of optimisation problems containing controls in the coefficients
• Vector variational problems and applications to optimal design
• Dynamic materials with formation of clots: optimal mass transport in one spatial dimension without takeover
• An introduction to the mathematical theory of dynamic materials

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