A famous Soviet general who fought in the Battle of Moscow (1941/1942) and the siege of Leningrad (1941–1944), Andrey Vlasov (1901–1946) was captured by Nazi troops and then defected to the Third Reich. Supported by Nazi propaganda, he created a “Russian Liberation Committee” that later became the “Russian Liberation Army” (RLA). The RLA was a body of several hundred officers and several thousand troops who had defected from the USSR and served Nazi purposes on Soviet territory. Vlasov was arrested by Soviet troops in Czechoslovakia while trying to escape to the Western Front and was subsequently tried for treason and executed by Soviet authorities. In 2015, the Russian State Archive of Social and Political History (RGASPI) released three volumes of archives documenting the infamous “Vlasov Case,” the main instance of Soviet collaborationism with Nazi Germany. With this volume, which draws on the archives of Russia, Belarus, Germany, and the US, the English-speaking audience can now access the most important documents on this topic for the first time. The documents tell the story of Vlasov’s betrayal, from the moment he became a prisoner, to his service under the Nazis, and up through the trial in Moscow in 1946. Volume 1 is comprised of archival documents on Vlasov’s activities from 1942 to 1945. Volume 2 explores the Soviet investigations of Vlasov during the 1945–1946 trial.

A famous Soviet general who fought in the Battle of Moscow (1941/1942) and the siege of Leningrad (1941-1944), Andrey Vlasov (1901-1946) was captured by Nazi troops and then defected to the Third Reich. Supported by Nazi propaganda, he created a "Russian Liberation Committee" that later became the "Russian Liberation Army" (RLA). The RLA was a body of several hundred officers and several thousand troops who had defected from the USSR and served Nazi purposes on Soviet territory. Vlasov was arrested by Soviet troops in Czechoslovakia while trying to escape to the Western Front and was subsequently tried for treason and executed by Soviet authorities. In 2015, the Russian State Archive of Social and Political History (RGASPI) released three volumes of archives documenting the infamous "Vlasov Case," the main instance of Soviet collaborationism with Nazi Germany. With this volume, which draws on the archives of Russia, Belarus, Germany, and the US, the English-speaking audience can now access the most important documents on this topic for the first time. The documents tell the story of Vlasov's betrayal, from the moment he became a prisoner, to his service under the Nazis, and up through the trial in Moscow in 1946. Volume 1 is comprised of archival documents on Vlasov's activities from 1942 to 1945. Volume 2 explores the Soviet investigations of Vlasov during the 1945-1946 trial.

Vlasov and the Russian Liberation Movement deals with the attempt by Soviet citizens to create a Russian anti-Stalinist liberation movement during the Second World War. These Soviet citizens were mainly prisoners-of-war, forced labourers or part of the population of the occupied territories of the USSR. The Liberation Movement was encouraged by German officers who disagreed with Nazi policy towards the USSR, as their experience showed that treating the population as 'subhumans' (Untermensch) merely increased resistance to Nazi occupation. Throughout the development of the Liberation Movement there existed a divergence of aims between the Russian members who wished to form an army and a political movement which would effect change within the USSR, and its German supporters who merely wished to alter the type of propaganda directed towards the population of the USSR. Catherine Andreyev provides an account of the evolution of the Russian Liberation Movement and examines the motivation of the titular leader of the movement, Lieutenant-General Andrey Andreyevich Vlasov. The main focus of the book is the ideology of the Liberation Movement, the importance of which lies in the fact that it represented the first grass-roots opposition movement within the Soviet Union since the end of the Civil War in 1922. The programme of the Movement reflects issues which would have been raised by citizens in the 1930s had they been free to do so. Catherine Andreyev examines influences on the programme, and the ideas expressed are placed within the context of the pre-war Soviet and Russian émigré society.

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

The material collected in this volume reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear parabolic PDE's.Articles will highlight the present as well as expected future directions of development of the field with particular emphasis on applications. The article by Ambrosio and Savaré discussesthe most recent development in the theory of gradient flow of probability measures. After an introduction reviewing the properties of the Wasserstein space and corresponding subdifferential calculus, applications are given to evolutionarypartial differential equations. The contribution of Herrero provides a description of some mathematical approaches developed to account for quantitative as well as qualitative aspects of chemotaxis. Particular attention is paid to the limits of cell'scapability to measure external cues on the one hand, and to provide an overall description of aggregation models for the slim mold Dictyostelium discoideum on the other.The chapter written by Masmoudi deals with a rather different topic - examples of singular limits in hydrodynamics. This is nowadays a well-studied issue given the amount of new results based on the development of the existence theory for rather general systems of equations in hydrodynamics. The paper by DeLellis addreses the most recent results for the transport equations with regard to possible applications in the theory of hyperbolic systems of conservation laws. Emphasis is put on the development of the theory in the case when the governing field is only a BV function.The chapter by Rein represents a comprehensive survey of results on the Poisson-Vlasov system in astrophysics. The question of global stability of steady states is addressed in detail. The contribution of Soner is devoted to different representations of non-linear parabolic equations in terms of Markov processes. After a brief introduction on the linear theory, a class ofnon-linear equations is investigated, with applications to stochastic control and differential games.The chapter written by Zuazua presents some of the recent progresses done on the problem of controllabilty of partial differential equations. The applications include the linear wave and heat equations,parabolic equations with coefficients of low regularity, and some fluid-structure interaction models.- Volume 1 focuses on the abstract theory of evolution- Volume 2 considers more concrete probelms relating to specific applications- Volume 3 reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear PDEs

David G. Lewis explores Russia's political system under Putin by unpacking the ideological paradigm that underpins it. He investigates the Russian understanding of key concepts such as sovereignty, democracy and political community. Through the dissection of a series of case studies - including Russia's legal system, the annexation of Crimea, and Russian policy in Syria - Lewis explains why these ideas matter in Russian domestic and foreign policy.

This is a key question for all Western military strategists. If the Soviets are indeed willing to tolerate high human sacrifice in warfare this obviously puts them at a military advantage. The perceived wisdom, hitherto, is that the Soviets are indeed willing to tolerate high casualties in battle - this, initial, view is reinforced by myths about Stalin clearing minefields by marching penal battalions across them. Professor Sella, however, comes to a different conclusion. He surveys Soviet attitudes to the military-medical service; to its own prisoners of war; and to the ethos of fighting to the death, considering how attitudes have changed from Czarist times to the present. He concludes that the Soviets are less ready to tolerate massive sacrifices than has been supposed; but that this position stems as much from utilitarian-military logic as from compassion.