Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory.This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance. - Reviews the whole field from the beginning to today - Includes practical applications - Provides classical and modern (semi-analytical) solutions
An eyewitness account of the world-changing uprising—from the author of Memoirs of a Revolutionary. “A truly remarkable individual . . . an heroic work” (Richard Allday of Counterfire). Brimming with the honesty and passionate conviction for which he has become famous, Victor Serge’s account of the first year of the Russian Revolution—through all of its achievements and challenges—captures both the heroism of the mass upsurge that gave birth to Soviet democracy and the crippling circumstances that began to chip away at its historic gains. Year One of the Russian Revolution is Serge’s attempt to defend the early days of the revolution against those, like Stalin, who would claim its legacy as justification for the repression of dissent within Russia. Praise for Victor Serge “Serge is one of the most compelling of twentieth-century ethical and literary heroes.” —Susan Sontag, MacArthur Fellow and winner of the National Book Award “His political recollections are very important, because they reflect so well the mood of this lost generation . . . His articles and books speak for themselves, and we would be poorer without them.” —Partisan Review “I know of no other writer with whom Serge can be very usefully compared. The essence of the man and his books is to be found in his attitude to the truth.” —John Berger, Booker Prize–winning author “The novels, poems, memoirs and other writings of Victor Serge are among the finest works of literature inspired by the October Revolution that brought the working class to power in Russia in 1917.” —Scott McLemee, writer of the weekly “Intellectual Affairs” column for Inside Higher Ed
Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory.This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance. - Reviews the whole field from the beginning to today - Includes practical applications - Provides classical and modern (semi-analytical) solutions
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