Global solution to the Cauchy problem in non-linear hyperbolic thermoelasticity

✍ Scribed by Jerzy Gawinecki

• Publisher: John Wiley and Sons
• Year: 1992
• Tongue: English
• Weight: 517 KB
• Volume: 15
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1670150402

✦ Synopsis

Abstract

We prove the existence of global solutions for small data to the initial value problem for the non‐linear hyperbolic system of partial differential equations describing a thermoelastic medium in a three‐dimensional space under the assumption that the coefficients in the non‐linear terms are smooth functions of their arguments and behave like 0(∣η∣) for k~0~ ≥ 2 near the origin. The asymptotic behaviour of the solution as t → ∞ is also described.