Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry
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Publication:2001283
DOI10.1016/j.camwa.2018.03.011zbMath1417.76047arXiv1804.01300OpenAlexW2794721493MaRDI QIDQ2001283
Denys Dutykh, Dimitrios Mitsotakis, Qian Li
Publication date: 3 July 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.01300
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Uses Software
Cites Work
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- Numerical solution of the `classical' Boussinesq system
- A Boussinesq model for pressure and flow velocity waves in arterial segments
- Finite volume schemes for dispersive wave propagation and runup
- Discontinuous Galerkin spectral/\(hp\) element modelling of dispersive shallow water systems
- A one-dimensional model of viscous blood flow in an elastic vessel
- GeM software package for computation of symmetries and conservation laws of differential equations
- Waves in fluid-filled elastic tubes with a stenosis: Variable coefficients KdV equations
- Numerical solution of Boussinesq systems of the Bona-Smith family
- A coupled momentum method for modeling blood flow in three-dimensional deformable arteries
- Initial-boundary-value problems for the Bona-Smith family of Boussinesq systems
- Wave propagation in a fluid-filled elastic tube
- Wave propagation in fluid filled nonlinear viscoelastic tubes
- A mathematical analysis of nonlinear waves in a fluid filled visco- elastic tube
- One-dimensional modelling of a vascular network in space-time variables
- One-dimensional models for blood flow in arteries
- Boundary value problems for Boussinesq type systems
- Finite element modeling of blood in arteries
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
- Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach
- Dissipative Boussinesq equations
- Petviashvili type methods for traveling wave computations. I: Analysis of convergence
- On the one-dimensional theory of blood flow in the larger vessels
- Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves
- Solitary-wave and multi-pulsed traveling-wave solutions of boussinesq systems
- The Physics of Pulsatile Flow
- An Anatomically Based Model of Transient Coronary Blood Flow in the Heart
- Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
- On the Galilean Invariance of Some Nonlinear Dispersive Wave Equations
- A wave propagation model of blood flow in large vessels using an approximate velocity profile function
- Derivation of a viscous Boussinesq system for surface water waves
- A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative Galerkin (LCG) method
- A model for the two-way propagation of water waves in a channel
- Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
- Analysis of lumped parameter models for blood flow simulations and their relation with 1D models
- Pulse Wave Propagation in the Arterial Tree
- Long waves on a beach
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