Weak Measure-Valued Solutions of a Nonlinear Hyperbolic Conservation Law

DOI10.1137/19M1309109zbMath1478.35144arXiv1903.00797OpenAlexW3191799809WikidataQ114847135 ScholiaQ114847135MaRDI QIDQ5005976

Xiaoqian Gong, Matthias Kawski

Publication date: 12 August 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00797

zbMATH Keywords

weak solutionsBorel measuresscalar conservation lawssemiconductor manufacturing systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) PDEs in connection with control and optimization (35Q93) PDEs with measure (35R06) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (5)

Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ Filippov’s Theorem for mutational inclusions in a metric space ⋮ A general result on the approximation of local conservation laws by nonlocal conservation laws: the singular limit problem for exponential kernels ⋮ Discontinuous nonlocal conservation laws and related discontinuous ODEs -- existence, uniqueness, stability and regularity ⋮ On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels

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