solidot新版网站常见问题,请点击这里查看。

Carleman estimate and an inverse source problem for the Kelvin-Voigt model for viscoelasticity. (arXiv:1809.06764v1 [math.AP])

来源于:arXiv
We consider the Kelvin-Voigt model for the viscoelasticity, and prove a Carleman estimate for functions without compact supports. Then we apply the Carleman estimate to prove the Lipschitz stability in determining a spatial varying function in an external source term of Kelvin-Voigt model by a single measurement. Finally as a related system, we consider an isothermal compressible fluid system and apply the Carleman estimate to establish the Lipschitz stability for an inverse source problem for the compressible fluid system. 查看全文>>