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José-Francisco Rodrigues

    Mathematical models for phase change problems
    Trends in partial differential equations of mathematical physics
    Mathematical Topics in Fluid Mechanics
    • 2020

      Mathematical Topics in Fluid Mechanics

      • 279 pages
      • 10 hours of reading

      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.

      Mathematical Topics in Fluid Mechanics
    • 2005

      This book consists of contributions originating from a conference in Obedo, Portugal, which honored the 70th birthday of V. A. Solonnikov. A broad variety of topics centering on nonlinear problems is presented, particularly Navier-Stokes equations, viscosity problems, diffusion-absorption equations, free boundaries, and Euler equations.

      Trends in partial differential equations of mathematical physics