Abstract
In this article we consider a fluid–structure interactions model on a three dimensional bounded domain, that describes the mechanical interaction between blood flow and a thrombus with Hookean elasticity. The interface between the two phases is given by a smooth transition layer, diffuse with a finite thickness. We derive various a priori estimates and prove local well-posedness results using the Faedo–Galerkin method.
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This work was supported by the Research Fund of Indiana University.
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Kim, W., Tawri, K. & Temam, R. Local well-posedness of a three-dimensional phase-field model for thrombus and blood flow. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 116, 149 (2022). https://doi.org/10.1007/s13398-022-01291-9
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DOI: https://doi.org/10.1007/s13398-022-01291-9