Discrete-to-continuum convergence of charged particles in 1D with annihilation
DOI10.1007/s00205-022-01812-1zbMath1502.35160arXiv2009.05180OpenAlexW3086160000MaRDI QIDQ2675802
Norbert Požár, Patrick van Meurs, Mark Adriaan Peletier
Publication date: 26 September 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.05180
Hamilton-Jacobi equationHamiltoniansub-solutionsuper-solutionelectrostatic interactionssystem of charged particles
PDEs in connection with optics and electromagnetic theory (35Q60) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Motion of charged particles (78A35) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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