Regularity Theory for Generalized Navier–Stokes Equations: Non-Newtonian Fluids with Variable Power-Law (De Gruyter Series in Applied and Numerical Mathematics, 10)
by Cholmin Sin, Evgenii S. Baranovskii
Presents regularity results for generalized Navier-Stokes systems modeling non-Newtonian fluids with spatially and temporally varying power-law exponents.
About This Book
This monograph develops regularity theory for generalized Navier-Stokes equations describing non-Newtonian fluids whose power-law exponent may vary in space and time.
The work belongs to the De Gruyter Series in Applied and Numerical Mathematics and targets researchers in mathematical fluid mechanics.
Emphasis is placed on establishing conditions that guarantee the smoothness of weak solutions under variable growth assumptions.
The analysis combines techniques from partial differential equations, functional analysis, and the calculus of variations.
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