Examples of shocks in population dynamics

DOI10.7153/DEA-08-22zbMath1362.35186OpenAlexW2518486560MaRDI QIDQ2815964

Elina Dévoué, Victor Dévoué

Publication date: 30 June 2016

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-08-22

zbMATH Keywords

transport equationColombeau algebrageneralized functionsSobolev-Schwartz distributions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Population dynamics (general) (92D25) Second-order nonlinear hyperbolic equations (35L70) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Cites Work

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• Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data
• Nonlinear algebraic analysis of delta shock wave solutions to Burgers' equation.
• A nonlinear model of age and size-structured populations with applications to cell cycles
• Fundamental structures and asymptotic microlocalization in sheaves of generalized functions

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