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Hölder-continuous solution for a nonlinear elasticity system
Keywords:
Hölder-Continuous solutions, Cauchy problem, Riemann invariants, 2000 Mathematics Subject Classification, Primary: 35B40, Secondary: 35L65 (en)Downloads
Abstract. In this paper the Cauchy problem for a non-linear elasticity system in Lagrange coordinates is considered. Using the method of null viscosity we prove the existence of Hölder-Continuous solutions for the non-linear elasticity system vt — ux = 0, ut — σ (v)x = 0.
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