R
Ronald J. DiPerna
Researcher at University of California, Berkeley
Publications - 25
Citations - 7082
Ronald J. DiPerna is an academic researcher from University of California, Berkeley. The author has contributed to research in topics: Conservation law & Cauchy problem. The author has an hindex of 17, co-authored 25 publications receiving 6597 citations. Previous affiliations of Ronald J. DiPerna include Princeton University & Brown University.
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Ordinary differential equations, transport theory and Sobolev spaces.
TL;DR: In this paper, the existence, uniqueness and stability results for ordinary differential equations with coefficients in Sobolev spaces were derived from corresponding results on linear transport equations which are analyzed by the method of renormalized solutions.
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On the Cauchy problem for Boltzmann equations: global existence and weak stability
TL;DR: In this article, the authors studied the large-data Cauchy problem for Boltzmann equations with general collision kernels and proved that sequences of solutions which satisfy only the physically natural a priori bounds converge weakly in L' to a solution.
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Convergence of approximate solutions to conservation laws
TL;DR: In this article, the stability and convergence of Glimm's random choice method applied to the Cauchy problem with initial data having small total variation was studied. But the convergence of the random choice was not investigated.
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Oscillations and concentrations in weak solutions of the incompressible fluid equations
TL;DR: In this paper, a measure-valued solution for 3D incompressible Euler equations is proposed to incorporate the complex phenomena present in the limits of approximate solutions of these equations.