Mathematical fluid and biofluid dynamics

Additional Info

  • ECTS credits: 6
  • University: University of L'Aquila
  • Semester: 3
  • Objectives:

     

    The aim of the course is to give an overview of fluid dynamics from a mathematical viewpoint, and to introduce students to the mathematical modeling of fluid dynamic type with a particular attention to biofluid dynamics.

    At the end of the course students will be able to perform a qualitative and quantitative analysis of solutions for particular fluid dynamics problems and to use concepts and mathematical techniques learned from this course for the analysis of other partial differential equations.

  • Topics:

     

    Derivation of the governing equations: Euler and Navier-Stokes
    Eulerian and Lagrangian description of fluid motion; examples of fluid flows
    Vorticity equation in 2D and 3D
    Dimensional analysis: Reynolds number, Mach Number, Frohde number.
    From compressible to incompressible models
    Existence of solutions for viscid and inviscid fluids
    Fluid dynamic modeling in various fields: magnetohydrodynamics, combustion, astrophysics.
    Modeling for biofluids: hemodynamics, cerebrospinal fluids, cancer modelling, animal locomotion, bioconvection for swimming microorganisms.

  • Prerequisites:

     

    Basic notions of functional analysis and multi variable calculus, standard properties of the heat equation, wave equation, Laplace and Poisson's equations.

Read 967 times Last modified on Sunday, 05 March 2023 19:11
Home Structure Semester 2 Course units Mathematical fluid and biofluid dynamics

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