Nonlinear Water Waves: Cetraro, Italy 2013 (lecture Notes In Mathematics)
by Joachim Escher /
2016 / English / PDF
4 MB Download
This volume brings together four lecture courses on modern
aspects of water waves. The intention, through the lectures, is
to present quite a range of mathematical ideas, primarily to show
what is possible and what, currently, is of particular interest.
This volume brings together four lecture courses on modern
aspects of water waves. The intention, through the lectures, is
to present quite a range of mathematical ideas, primarily to show
what is possible and what, currently, is of particular interest.
Water waves of large amplitude can only be fully understood in
terms of nonlinear effects, linear theory being not adequate for
their description. Taking advantage of insights from physical
observation, experimental evidence and numerical simulations,
classical and modern mathematical approaches can be used to gain
insight into their dynamics. The book presents several avenues
and offers a wide range of material of current
interest.
Water waves of large amplitude can only be fully understood in
terms of nonlinear effects, linear theory being not adequate for
their description. Taking advantage of insights from physical
observation, experimental evidence and numerical simulations,
classical and modern mathematical approaches can be used to gain
insight into their dynamics. The book presents several avenues
and offers a wide range of material of current
interest.The lectures provide a useful source for those who want to
begin to investigate how mathematics can be used to improve our
understanding of water wave phenomena. In addition, some of the
material can be used by those who are already familiar with one
branch of the study of water waves, to learn more about other
areas.
The lectures provide a useful source for those who want to
begin to investigate how mathematics can be used to improve our
understanding of water wave phenomena. In addition, some of the
material can be used by those who are already familiar with one
branch of the study of water waves, to learn more about other
areas.