Mathematical Topics in Fluid Mechanics

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Focusing on fluid mechanics, this Research Note compiles mathematical studies on non-Newtonian and viscoelastic fluids, along with analyses of the Navier-Stokes equations in unbounded domains. It reviews both incompressible and compressible flow dynamics, as well as stability in magnetohydrodynamic and electrohydrodynamic contexts. The proceedings from a 1991 summer course in Lisbon offer a comprehensive survey and advanced introduction to fluid mechanics and partial differential equations, addressing a range of related topics.