This book aims to bridge the gap between practising mathematicians and the practitioners of
turbulence theory. It presents the mathematical theory of turbulence to engineers and …

This chapter reviews the recently developed mathematical setting of the primitive equations
(PEs) of the atmosphere, the ocean, and the coupled atmosphere and ocean. The …

Page 1 HANDBOOK of NUMERICAL ANALYSIS PG CIARLET and JL LIONS • Editors Volume
VIII Solution of Equations in R" (Part 4) Techniques of Scientific Computing (Part 4) Numerical …

This book is dedicated to the mathematical study of two-dimensional statistical
hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random …

Since the early part of the 20th century, it has been understood that the description of nature
at the subatomic scale requires quantum mechanics. In quantum mechanics, the position …

These notes are devoted to the study of some problems related to shallow-water equations.
In particular, we will review results from derivations of shallow-water systems which depend …

This chapter addresses some mathematical aspects of the equations of geophysical fluid
dynamics namely, existence, uniqueness, and regularity of solutions of the primitive …

Grzegorz Łukaszewicz Piotr Kalita An Introduction with Applications Page 1 Advances in
Mechanics and Mathematics 34 Grzegorz Łukaszewicz Piotr Kalita Navier– Stokes …

Geophysical fluids all exhibit a common feature: their aspect ratio (depth to horizontal width)
is very small. This leads to an asymptotic model widely used in meteorology, oceanography …

As climate variability intensifies the frequency and severity of freeze-thaw cycles, the
development of cementitious materials capable of withstanding these harsh conditions …