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This book focuses on the theory of the Zakharov system in the
context of plasma physics. It has been over 40 years since the
system was first derived by V. E. Zakharov - and in the course of
those decades, many innovative achievements with major impacts on
other research fields have been made. The book represents a first
attempt to highlight the mathematical theories that are most
important to researchers, including the existence and unique
problems, blow-up, low regularity, large time behavior and the
singular limit. Rather than attempting to examine every aspect of
the Zakharov system in detail, it provides an effective road map to
help readers access the frontier of studies on this system.
This book focuses on the theory of the Zakharov system in the
context of plasma physics. It has been over 40 years since the
system was first derived by V. E. Zakharov - and in the course of
those decades, many innovative achievements with major impacts on
other research fields have been made. The book represents a first
attempt to highlight the mathematical theories that are most
important to researchers, including the existence and unique
problems, blow-up, low regularity, large time behavior and the
singular limit. Rather than attempting to examine every aspect of
the Zakharov system in detail, it provides an effective road map to
help readers access the frontier of studies on this system.
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