Articles with "smooth initial" as a keyword



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Two-Phase Solutions for One-Dimensional Non-convex Elastodynamics

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Published in 2018 at "Archive for Rational Mechanics and Analysis"

DOI: 10.1007/s00205-018-1326-1

Abstract: We explore the local existence and properties of classical weak solutions to the initial-boundary value problem for a class of quasilinear equations of elastodynamics in one space dimension with a non-convex stored-energy function, a model… read more here.

Keywords: phase; weak solutions; non convex; problem ... See more keywords

Numerical Modeling of Peridynamic Richards' Equation with Piecewise Smooth Initial Conditions Using Spectral Methods

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Published in 2023 at "Symmetry"

DOI: 10.3390/sym15050960

Abstract: In this paper, we introduce peridynamic theory and its application to Richards’ equation with a piecewise smooth initial condition. Peridynamic theory is a non-local continuum theory that models the deformation and failure of materials. Richards’… read more here.

Keywords: equation; piecewise smooth; richards equation; equation piecewise ... See more keywords