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- Ronald_DiPerna abstract "Ronald J. DiPerna (11 February 1947, Somerville, Massachusetts – 8 January 1989, Princeton, New Jersey) was an American mathematician, who worked on nonlinear partial differential equations.In 1972 DiPerna received from the Courant Institute of Mathematical Sciences his Ph.D. under James Glimm with thesis Global solutions to a class of nonlinear hyperbolic systems. He held academic positions at Brown University, the University of Michigan, the University of Wisconsin, and Duke University, before he became in 1985 a professor at the University of California, Berkeley. He died unexpectedly at age 41 shortly after the end of a sabbatical year as a visiting scholar at the Institute for Advanced Study.DiPerna was known for his work on nonlinear partial differential equations, especially those that are important in fluid dynamics and the kinetic theory of gases. Probably his best known work is his development and application of the method of compensated compactness. This is a very powerful method for controlling oscillation and thereby proving existence theorems. DiPerna proved existence of weak solutions in the large for the equations of compressible gas dynamics and obtained important results concerning the uniqueness of solutions, their large time behavior, and their local regularity as elements of the appropriate abstract spaces.In the last part of his career he worked with Pierre-Louis Lions on integro-differential equations in the kinetic theory of gases (Cauchy problem for Boltzmann equations) and the plasma physics generalization (Vlasov equation). He also worked on singularities in compressible flow. DiPerna with Andrew Majda began in 1986 research on the question of the existence of solutions to the Euler equations in two dimensions with initial conditions that are found in the evolution of vortex sheets. DiPerna and Majda introduced the Concentration-Cancellation Method.DiPerna was a Guggenheim Fellow for the academic year 1984–1985 and a Sloan Fellow for the academic year 1978–1979. In 1986 he was an invited speaker at the International Congress of Mathematicians in Berkeley 1986 and gave a talk Compactness of solutions to nonlinear PDEs.He was married to Maria E. Schonbek, a professor of mathematics at the University of California, Santa Cruz and had a daughter. In his honor, the University of California at Berkeley established the DiPerna Lectures in Applied Mathematics.".
- Ronald_DiPerna birthDate "1947-02-11".
- Ronald_DiPerna birthYear "1947".
- Ronald_DiPerna deathDate "1989-01-08".
- Ronald_DiPerna deathYear "1989".
- Ronald_DiPerna thumbnail Diperna_ronald_1985.jpg?width=300.
- Ronald_DiPerna wikiPageExternalLink 1103940470.
- Ronald_DiPerna wikiPageExternalLink S0002-9947-1985-0808729-4.
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- Ronald_DiPerna wikiPageWikiLink Andrew_Majda.
- Ronald_DiPerna wikiPageWikiLink Boltzmann_equation.
- Ronald_DiPerna wikiPageWikiLink Brown_University.
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- Ronald_DiPerna wikiPageWikiLink Cauchy_problem.
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- Ronald_DiPerna wikiPageWikiLink Duke_University.
- Ronald_DiPerna wikiPageWikiLink Euler_equations_(fluid_dynamics).
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- Ronald_DiPerna wikiPageWikiLink Institute_for_Advanced_Study.
- Ronald_DiPerna wikiPageWikiLink James_Glimm.
- Ronald_DiPerna wikiPageWikiLink List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers.
- Ronald_DiPerna wikiPageWikiLink Maria_E._Schonbek.
- Ronald_DiPerna wikiPageWikiLink Pierre-Louis_Lions.
- Ronald_DiPerna wikiPageWikiLink Princeton,_New_Jersey.
- Ronald_DiPerna wikiPageWikiLink Sloan_Fellows.
- Ronald_DiPerna wikiPageWikiLink Somerville,_Massachusetts.
- Ronald_DiPerna wikiPageWikiLink University_of_California,_Berkeley.
- Ronald_DiPerna wikiPageWikiLink University_of_California,_Santa_Cruz.
- Ronald_DiPerna wikiPageWikiLink University_of_Michigan.
- Ronald_DiPerna wikiPageWikiLink University_of_Wisconsin–Madison.
- Ronald_DiPerna wikiPageWikiLink Vlasov_equation.
- Ronald_DiPerna wikiPageWikiLink File:Diperna_ronald_1985.jpg.
- Ronald_DiPerna wikiPageWikiLinkText "Ronald DiPerna".
- Ronald_DiPerna dateOfBirth "1947-02-11".
- Ronald_DiPerna dateOfDeath "1989-01-08".
- Ronald_DiPerna name "DiPerna, Ronald".
- Ronald_DiPerna placeOfBirth "Somerville, Massachusetts".
- Ronald_DiPerna placeOfDeath "Princeton, New Jersey".
- Ronald_DiPerna shortDescription "American mathematician".
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- Ronald_DiPerna description "American mathematician".
- Ronald_DiPerna description "American mathematician".
- Ronald_DiPerna subject Category:1947_births.
- Ronald_DiPerna subject Category:1989_deaths.
- Ronald_DiPerna subject Category:20th-century_American_mathematicians.
- Ronald_DiPerna subject Category:Courant_Institute_of_Mathematical_Sciences_alumni.
- Ronald_DiPerna subject Category:Fluid_dynamicists.
- Ronald_DiPerna subject Category:Guggenheim_Fellows.
- Ronald_DiPerna subject Category:Institute_for_Advanced_Study_visiting_scholars.
- Ronald_DiPerna subject Category:PDE_theorists.
- Ronald_DiPerna subject Category:People_from_Somerville,_Massachusetts.
- Ronald_DiPerna subject Category:University_of_California,_Berkeley_faculty.
- Ronald_DiPerna hypernym Mathematician.
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- Ronald_DiPerna comment "Ronald J. DiPerna (11 February 1947, Somerville, Massachusetts – 8 January 1989, Princeton, New Jersey) was an American mathematician, who worked on nonlinear partial differential equations.In 1972 DiPerna received from the Courant Institute of Mathematical Sciences his Ph.D. under James Glimm with thesis Global solutions to a class of nonlinear hyperbolic systems.".
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- Ronald_DiPerna name "DiPerna, Ronald".
- Ronald_DiPerna name "Ronald DiPerna".
- Ronald_DiPerna surname "DiPerna".