Estimates for elliptic systems in a narrow region arising from composite materials
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Publication:4554155
DOI10.1090/qam/1518zbMath1404.35120arXiv1808.03384OpenAlexW2886975543MaRDI QIDQ4554155
Longjuan Xu, Hong-jie Ju, Hai Gang Li
Publication date: 8 November 2018
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.03384
Smoothness and regularity of solutions to PDEs (35B65) Classical linear elasticity (74B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs in connection with mechanics of deformable solids (35Q74) Second-order elliptic systems (35J47)
Related Items
Gradient estimates for elliptic systems from composite materials with closely spaced stiff \(C^{1, \gamma}\) inclusions ⋮ Lower bounds of gradient's blow-up for the Lamé system with partially infinite coefficients ⋮ Quantitative Estimates for Stress Concentration of the Stokes Flow Between Adjacent Circular Cylinders ⋮ Boundary Blow-Up Analysis of Gradient Estimates for Lamé Systems in the Presence of $m$-Convex Hard Inclusions ⋮ Asymptotics for the Electric Field Concentration in the Perfect Conductivity Problem ⋮ Estimates and asymptotics for the stress concentration between closely spaced stiff \(C^{1, \gamma }\) inclusions in linear elasticity ⋮ Optimal gradient estimates for the perfect conductivity problem with \(C^{1,\alpha}\) inclusions
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