Existence and stability of periodic planar standing waves in phase-transitional elasticity with strain-gradient effects .I : General theory

DOI10.4171/ZAA/1496zbMath1291.35395arXiv1110.6897MaRDI QIDQ2448596

Jinghua Yao

Publication date: 2 May 2014

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6897

zbMATH Keywords

elasticityHamiltonian systemperiodic wavestrain-gradient effect

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Variational methods applied to PDEs (35A15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) PDEs in connection with mechanics of deformable solids (35Q74) Traveling wave solutions (35C07)

Related Items (1)

Existence and stability of periodic planar standing waves in phase-transitional elasticity with strain-gradient effects. II: Examples

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