Existence of Global Weak Solutions to the Dynamical Problem for a Three-Dimensional Elastic Body with Singular Memory
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Publication:4034145
DOI10.1137/0524003zbMath0768.35074OpenAlexW2059959864MaRDI QIDQ4034145
Jindřich Nečas, Hamid Bellout, Frederick Bloom
Publication date: 16 May 1993
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0524003
Integro-partial differential equations (45K05) Nonlinear elasticity (74B20) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Dynamical problems in solid mechanics (74Hxx)
Related Items (7)
Existence of global weak solutions for a class of quasilinear hyperbolic integro-differential equations describing visco-elastic materials ⋮ Global existence of weak solutions to the boundary value problem for a three-dimensional viscoelastic dynamic system ⋮ Time-periodic solutions to a system of nonlinear integrodifferential equations ⋮ Nonlinear hyperbolic equations with dissipative temporal and spatial non-local memory ⋮ Existence of periodic weak solutions to the three-dimensional nonlinear viscoelastic system ⋮ Global solution for a quasilinear wave equation with singular memory ⋮ Unnamed Item
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