Boundary Blow-Up Analysis of Gradient Estimates for Lamé Systems in the Presence of $m$-Convex Hard Inclusions
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Publication:5116579
DOI10.1137/19M1306038zbMath1448.74027arXiv1912.06820OpenAlexW3048939402MaRDI QIDQ5116579
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Publication date: 18 August 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.06820
Boundary value problems for second-order elliptic equations (35J25) Composite and mixture properties (74E30) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (7)
Singularities of the stress concentration in the presence of 𝐶^{1,𝛼}-inclusions with core-shell geometry ⋮ Gradient asymptotics of solutions to the Lamé systems in the presence of two nearly touching \(C^{1, \gamma }\)-inclusions ⋮ Upper and lower bounds for stress concentration in linear elasticity when 𝐶^{1,𝛼} inclusions are close to boundary ⋮ Stress blow-up analysis when suspending rigid particles approach boundary in 3D Stokes flow ⋮ Asymptotics for the concentrated field between closely located hard inclusions in all dimensions ⋮ 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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