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Von Neumann's model of an expanding economy considered the matrix pencil A − λB with nonnegative matrices A and B; von Neumann sought probability vectors p and q and a positive number λ that would solve the complementarity equation () = along with two inequality systems expressing economic efficiency.
In September 1943, mathematician John von Neumann had proposed surrounding a fissile "core" by two different high explosives which produced shock waves of different speeds. Alternating the faster- and slower-burning explosives in a carefully calculated configuration would produce a compressive wave upon their simultaneous detonation.
Radiation implosion was first developed by Klaus Fuchs and John von Neumann in the United States, as part of their work on the original "Classical Super" hydrogen-bomb design. Their work resulted in a secret patent filed in 1946, and later given to the USSR by Fuchs as part of his nuclear espionage .
The ZND detonation model is a one-dimensional model for the process of detonation of an explosive. It was proposed during World War II independently by Yakov Zeldovich, [1] John von Neumann, [2] and Werner Döring, [3] hence the name. This model admits finite-rate chemical reactions and thus the process of detonation consists of the following ...
In an implosion-type nuclear weapon, polygonal lenses are arranged around the spherical core of the bomb. Thirty-two "points" are shown. Thirty-two "points" are shown. Other designs use as many as 96 or as few as two such points.
A physical interpretation of the condition is usually based on the later modelling (c. 1943) by Yakov Borisovich Zel'dovich, [5] John von Neumann, [6] and Werner Döring [7] (the so-called ZND detonation model).
[6] von Neumann published his results in August 1947 in the Los Alamos scientific laboratory report on "Blast wave" (PDF). Archived (PDF) from the original on June 1, 2022., although that report was distributed only in 1958. [7] Taylor got clearance to publish his results in 1949 and he published his works in two papers in 1950.
The Sedov-Taylor expansion is also known as the "blast wave" phase, which is an adiabatic expansion phase in the life cycle of supernova. [21]: 96 The temperature of the material in a supernova shell decreases with time, but the internal energy of the material is always 72% of E 0, the initial energy released. This is helpful for ...