A mathematical study for a Rotenberg model

DOI10.1006/jmaa.2001.7721zbMath0987.92013OpenAlexW2065017614MaRDI QIDQ5957736

Mohamed Boulanouar

Publication date: 27 June 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7721

zbMATH Keywords

asymptotic behaviorsemigroupscompactnesscell population dynamicsgeneral boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Qualitative properties of solutions to partial differential equations (35B99)

Related Items

New Results in Abstract Time-Dependent Transport Equations ⋮ On Hille-type approximation of degenerate semigroups of operators ⋮ Mathematical Analysis of Structured Bacterial Population with Aggregate Transition Rule (I) ⋮ On a Mathematical Model with Noncompact Boundary Conditions Describing Bacterial Population ⋮ Existence and uniqueness results for a nonlinear evolution equation arising in growing cell populations ⋮ Symmetry properties of conservation laws for nonlinear Fokker-Planck equation describing cell population growth ⋮ On some measure convolution operators in neutron transport theory ⋮ On a nonlinear version of Rotenberg model with infinite maturation velocities ⋮ Lie symmetry analysis and invariant solutions of a nonlinear Fokker-Planck equation describing cell population growth ⋮ Existence results for a nonlinear version of Rotenberg model with infinite maturation velocities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Spectral properties and asymptotic behavior of the linear transport equation
• One-parameter semigroups of positive operators
• Structured populations, linear semigroups and positivity
• Irreducible compact operators
• Boundary value problems in abstract kinetic theory
• A Fokker-Planck equation for growing cell populations
• A perturbation theorem for the essential spectral radius of strongly continuous semigroups
• FRAM-nonlinear damping algorithms for the continuity equation
• Banach lattices
• A functional equation from cell kinetics
• Balanced exponential growth of operator semigroups
• Compactness properties and asymptotics of strongly coupled systems
• Positive perturbation of operator semigroups: Growth bounds, essential compactness, and asynchronous exponential growth
• The asymptotic behavior of a transport equation in cell population dynamics with a null maturation velocity
• An Operator-Theoretic Formulation of Asynchronous Exponential Growth
• Translation Semigroups and Their Linearizations on Spaces of Integrable Functions
• Some Spectral Properties for the Asymptotic Behavior of Semigroups Connected to Population Dynamics
• A transport equation in cell population dynamics