Existence of local‐in‐time classical solutions of a model of flow in a bounded elastic tube

DOI10.1002/mma.3917zbMath1352.35077OpenAlexW2298728761MaRDI QIDQ5507161

Georg Propst, Gilbert R. Peralta

Publication date: 16 December 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3917

zbMATH Keywords

method of characteristicshyperbolic PDEsfixed-point techniquedifferential boundary conditionsflow in elastic tube

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• A coupled system of ODEs and quasilinear hyperbolic PDEs arising in a multiscale blood flow model
• A coupled nonlinear hyperbolic-parabolic system
• Valveless pumping in a fluid-filled closed elastic tube-system: one-dimensional theory with experimental validation
• Numerical investigation of the Liebau phenomenon
• Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi-symmetric vessels
• A Hyperbolic System of Equations of Blood Flow in an Arterial Network
• Local well-posedness of a class of hyperbolic PDE–ODE systems on a bounded interval
• Stability and Boundary Controllability of a Linearized Model of Flow in an Elastic Tube
• Analysis of a Geometrical Multiscale Blood Flow Model Based on the Coupling of ODEs and Hyperbolic PDEs
• Some existence theorems for hyperbolic systems of partial differential equations in two independent variables
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