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This book is a survey of the research work done by the author over
the last 15 years, in collaboration with various eminent
mathematicians and climate scientists on the subject of tropical
convection and convectively coupled waves. In the areas of climate
modelling and climate change science, tropical dynamics and
tropical rainfall are among the biggest uncertainties of future
projections. This not only puts at risk billions of human beings
who populate the tropical continents but it is also of central
importance for climate predictions on the global scale. This book
aims to introduce the non-expert readers in mathematics and
theoretical physics to this fascinating topic in order to attract
interest into this difficult and exciting research area. The
general thyme revolves around the use of new deterministic and
stochastic multi-cloud models for tropical convection and
convectively coupled waves. It draws modelling ideas from various
areas of mathematics and physics and used in conjunction with
state-of-the-art satellite and in-situ observations and detailed
numerical simulations. After a review of preliminary material on
tropical dynamics and moist thermodynamics, including recent
discoveries based on satellite observations as well as Markov
chains, the book immerses the reader into the area of models for
convection and tropical waves. It begins with basic concepts of
linear stability analysis and ends with the use of these models to
improve the state-of-the-art global climate models. The book also
contains a fair amount of exercises that makes it suitable as a
textbook complement on the subject.
This book is a survey of the research work done by the author over
the last 15 years, in collaboration with various eminent
mathematicians and climate scientists on the subject of tropical
convection and convectively coupled waves. In the areas of climate
modelling and climate change science, tropical dynamics and
tropical rainfall are among the biggest uncertainties of future
projections. This not only puts at risk billions of human beings
who populate the tropical continents but it is also of central
importance for climate predictions on the global scale. This book
aims to introduce the non-expert readers in mathematics and
theoretical physics to this fascinating topic in order to attract
interest into this difficult and exciting research area. The
general thyme revolves around the use of new deterministic and
stochastic multi-cloud models for tropical convection and
convectively coupled waves. It draws modelling ideas from various
areas of mathematics and physics and used in conjunction with
state-of-the-art satellite and in-situ observations and detailed
numerical simulations. After a review of preliminary material on
tropical dynamics and moist thermodynamics, including recent
discoveries based on satellite observations as well as Markov
chains, the book immerses the reader into the area of models for
convection and tropical waves. It begins with basic concepts of
linear stability analysis and ends with the use of these models to
improve the state-of-the-art global climate models. The book also
contains a fair amount of exercises that makes it suitable as a
textbook complement on the subject.
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