Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels

Affiliation:	1. Department of Mathematics, University of Arizona, Tucson, AZ, United States;2. Department of Mathematics, UCLA, Los Angeles, CA, United States;1. Sorbonne Université, Université Paris-Diderot SPC, CNRS, INRIA, Laboratoire Jacques-Louis Lions, LJLL, équipe CAGE, F-75005 Paris, France;2. Bâtiment des Mathématiques, EPFL, Station 8, CH-1015 Lausanne, Switzerland;1. Department of Mathematics and Economics, Emporia State University, Emporia, KS 66801, USA;2. Department of Mathematics, University of Missouri, Columbia, MO 65211, USA;1. Institute of Mathematics, Czech Academy of Sciences, Žitná 25, 11567 Praha 1, Czech Republic;2. NASI Senior Scientist, ICTS-TIFR, Survey No. 151, Sivakote, Bangalore, 560089, India;3. BCAM, Basque Center for Applied Mathematics, Mazarredo 14, E48009 Bilbao, Bizkaia, Spain;4. Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 40, 97074 Würzburg, Germany

Abstract:	We study the well-posedness of a system of one-dimensional partial differential equations modeling blood flows in a network of vessels with viscoelastic walls. We prove the existence and uniqueness of maximal strong solution for this type of hyperbolic/parabolic model. We also prove a stability estimate under suitable nonlinear Robin boundary conditions.

Keywords:	One-dimensional blood flow model Viscoelastic vessels Strong solutions Maximal-in-time solutions Uniqueness of solution Fluid–structure interaction
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