Abstract
We begin with a discussion of various demands on mathematical modeling. We explain how to model technical processes as convection, diffusion, waves, or hydrodynamics. For this reason we introduce partial differential equations as Laplace equations heat equations wave equations or Schrödinger equations that play a central role in applications. These models are treated in later chapters.
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References
G.P. Galdi, An introduction to the Navier-Stokes initial-boundary value problem, in Fundamental Directions in Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics (Birkhäuser, Basel, 2000), pp. 1–70
G.P. Galdi, An Introduction to the Mathematical Theory of the Navier-Stokes Equations. Springer Monographs in Mathematics (Springer, New York, 2011)
R. Temam, Navier-Stokes Equations. Theory and Numerical Analysis. Studies in Mathematics and its Applications, vol. 2 (North-Holland, Amsterdam-New York-Oxford, 1977)
M. Wiegner, The Navier-Stokes equations - a neverending challenge? Jber. d. Dt. Math.-Verein. 101, 1–25 (1999)
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Ebert, M.R., Reissig, M. (2018). Partial Differential Equations in Models. In: Methods for Partial Differential Equations. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-66456-9_2
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DOI: https://doi.org/10.1007/978-3-319-66456-9_2
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Publisher Name: Birkhäuser, Cham
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Online ISBN: 978-3-319-66456-9
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