Mathematical analysis of a three-dimensional eutrophication model

DOI10.1016/j.jmaa.2008.08.031zbMath1147.92038OpenAlexW2064289334MaRDI QIDQ952153

Francisco J. Fernández, Rafael Muñoz-Sola, Lino Jose Alvarez-Vázquez

Publication date: 6 November 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.08.031

zbMATH Keywords

existenceuniquenessweak solutionsvery weak solutions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ecology (92D40) Initial value problems for second-order parabolic equations (35K15)

Related Items (11)

Analysis of a time optimal control problem related to the management of a bioreactor ⋮ The dynamics of a diffusive nutrient-algae model based upon the Sanyang wetland ⋮ Optimal management of a bioreactor for eutrophicated water treatment: a numerical approach ⋮ Optimal control of eutrophication processes in a moving domain ⋮ Water artificial circulation for eutrophication control ⋮ Dynamical analysis of a nitrogen-phosphorus-phytoplankton model ⋮ Mathematical analysis and optimal control of heavy metals phytoremediation techniques ⋮ An arbitrary Lagrangian Eulerian formulation for a 3D eutrophication model in a moving domain ⋮ Optimal control of a bioreactor ⋮ Mathematical analysis and numerical resolution of a heat transfer problem arising in water recirculation ⋮ Controlling eutrophication by means of water recirculation: an optimal control perspective

Cites Work

• Introduction à la théorie des points critiques et applications aux problèmes elliptiques
• A mathematical model of the dynamics of the phytoplankton-nutrient system
• Oxygen dynamics in coastal and lagoon ecosystems.
• A nutrient-prey-predator model with intratrophic predation
• Periodic solutions in modelling lagoon ecological interactions
• Nutrient-phytoplankton-zooplankton models with a toxin
• Existence-uniqueness and monotone approximation for a phytoplankton-zooplankton aggregation model
• Analysis and numerical simulation of phytoplankton-nutrient systems with nutrient loss
• Existence results for some quasilinear parabolic equations
• Entropy boundary and jump conditions in the theory of sedimentation with compression
• Renormalised solutions of nonlinear parabolic problems with L¹ data: existence and uniqueness
• INTEGRATING IDENTIFICATION AND QUALITATIVE ANALYSIS FOR THE DYNAMIC MODEL OF A LAGOON
• Nonlinear partial differential equations with applications
• Management strategies for the control of eutrophication processes in Fogliano lagoon (Italy): A long-term analysis using a mathematical model
• Existence and stability for mathematical models of sedimentation-consolidation processes in several space dimensions
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