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Physics of Wave Turbulence

✍ Scribed by Sebastien Galtier

Publisher
Cambridge University Press
Year
2022
Tongue
English
Leaves
290
Category
Library
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✦ Synopsis

A century ago, Lewis Fry Richardson introduced the concept of energy cascades in turbulence. Since this conceptual breakthrough, turbulence has been studied in diverse systems and our knowledge has increased considerably through theoretical, numerical, experimental and observational advances. Eddy turbulence and wave turbulence are the two regimes we can find in nature. So far, most attention has been devoted to the former regime, eddy turbulence, which is often observed in water. However, physicists are often interested in systems for which wave turbulence is relevant. This textbook deals with wave turbulence and systems composed of a sea of weak waves interacting non-linearly. After a general introduction which includes a brief history of the field, the theory of wave turbulence is introduced rigorously for surface waves. The theory is then applied to examples in hydrodynamics, plasma physics, astrophysics and cosmology, giving the reader a modern and interdisciplinary view of the subject.

✦ Table of Contents

01.0_pp_i_iv_Frontmatter
02.0_pp_v_vi_Dedication
03.0_pp_vii_x_Contents
04.0_pp_xi_xii_Preface
05.0_pp_1_24_General_Introduction
06.0_pp_25_26_Fundamentals_of_Turbulence
06.1_pp_27_68_Eddy_Turbulence_in_Hydrodynamics
06.2_pp_69_100_Spectral_Theory_in_Hydrodynamics
07.0_pp_101_102_Wave_Turbulence
07.1_pp_103_126_Introduction
07.2_pp_127_154_Theory_for_Capillary_Wave_Turbulence
07.3_pp_155_178_Inertial_Wave_Turbulence
07.4_pp_179_204_Alfven_Wave_Turbulence
07.5_pp_205_230_Wave_Turbulence_in_a_Compressible_Plasma
07.6_pp_231_247_Gravitational_Wave_Turbulence
08.0_pp_248_269_Solutions_to_the_Exercises
09.0_pp_270_273_Formulary
10.0_pp_274_277_Index

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