An effective time delay in the governing equations, as proposed in [8], is further examined here. The resulting hyperbolic Stefan problem is mainly viewed as a perturbation of the traditional one. Asymptotic energy error estimates are derived for the three physical unknowns (heat flux, temperature and enthalpy) in accordance with various regularity assumptions on the initial data.
Approximation of multidimensional Stefan-like problems via hyperbolic relaxation / R.H. Nochetto, C. Verdi. - In: CALCOLO. - ISSN 0008-0624. - 25:3(1988), pp. 219-232. [10.1007/BF02575945]
Approximation of multidimensional Stefan-like problems via hyperbolic relaxation
C. VerdiUltimo
1988
Abstract
An effective time delay in the governing equations, as proposed in [8], is further examined here. The resulting hyperbolic Stefan problem is mainly viewed as a perturbation of the traditional one. Asymptotic energy error estimates are derived for the three physical unknowns (heat flux, temperature and enthalpy) in accordance with various regularity assumptions on the initial data.
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