The Space Charge Problem

DOI10.1137/0150012zbMath0699.35229OpenAlexW2017179752MaRDI QIDQ3477380

John Bryce McLeod, Avner Friedman, Adam A. Wheeler, Chris J. Budd

Publication date: 1990

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0150012

zbMATH Keywords

potentialweak solutionuniquenessdensityExistencehyperbolic equationfree boundaryelliptic equationionising conductorsteady electric field

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Partial differential equations of mathematical physics and other areas of application (35Q99) Motion of charged particles (78A35) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

Related Items (6)

Existence and uniqueness for hydrostatic solutions in E.H.D and for the space charge problem ⋮ A system of partial differential equations arising in electrophotography ⋮ A numerical scheme for the solution of the space charge problem on a multiply connected region ⋮ Bifurcation for the Corona problem ⋮ Coronas and the space charge problem ⋮ The space charge problem and the nonlinear resistor

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