STRUCTURED POPULATION EQUATIONS IN METRIC SPACES

DOI10.1142/S021989161000227XzbMath1204.28007OpenAlexW1977764191MaRDI QIDQ3067126

Piotr Gwiazda, Anna Marciniak-Czochra

Publication date: 20 January 2011

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021989161000227x

zbMATH Keywords

Wasserstein metricmeasure-valued solutionflat metricstructured population model

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for first-order hyperbolic systems (35L50) Spaces of measures, convergence of measures (28A33) Initial value problems for linear first-order PDEs (35F10)

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Cites Work

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• Ordinary differential equations, transport theory and Sobolev spaces
• On the formulation and analysis of general deterministic structured population models. I: Linear theory
• Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations
• On the stability of the standard Riemann semigroup
• Parabolic Equations in Anisotropic Orlicz Spaces with General N-functions
• Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering
• Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model
• The Variational Formulation of the Fokker--Planck Equation

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