Abstract
We consider a simple model for visco–elasticity, that is commonly applied to simulate dermal wound healing. First the problem is formulated, then, convergence to a steady–state equilibrium solution is demonstrated. Subsequently, we construct analytic solutions based on Green’s Functions for one-dimensional sample problems. These solutions enable us to look at the convergence behavior towards equilibrium solutions. We also give some conditions for monotonic convergence.
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Vermolen, F.J. (2013). On the Construction of Analytic Solutions to a Visco–Elasticity Model for Soft Tissues. In: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. (eds) Numerical Mathematics and Advanced Applications 2011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33134-3_64
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DOI: https://doi.org/10.1007/978-3-642-33134-3_64
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