General entropy equations for structured population models and scattering
From MaRDI portal
Publication:1876832
DOI10.1016/j.crma.2004.03.006zbMath1049.35070OpenAlexW2047891589WikidataQ60502882 ScholiaQ60502882MaRDI QIDQ1876832
Stéphane Mischler, Philippe Michel, Perthame, Benoît
Publication date: 20 August 2004
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2004.03.006
Integro-partial differential equations (45K05) Population dynamics (general) (92D25) Nonlinear first-order PDEs (35F20)
Related Items (37)
General entropy equations for structured population models and scattering ⋮ Spectral analysis of semigroups and growth-fragmentation equations ⋮ Estimating the division rate for the growth-fragmentation equation ⋮ Recovering the fragmentation rate in the growth-fragmentation equation ⋮ PDE models for chemotactic movements: parabolic, hyperbolic and kinetic. ⋮ Entropy, Feller processes and \(p\)-adic analogues of the scattering equation ⋮ Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation ⋮ Łoskot-Rudnicki's inequality and general relative entropy inequality for Cauchy problems preserving positivity ⋮ Improved energy methods for nonlocal diffusion problems ⋮ Dissipative measure-valued solutions for general conservation laws ⋮ Extinction and blow-up phenomena in a non-linear gender structured population model ⋮ Long-Time Limit of Nonlinearly Coupled Measure-Valued Equations that Model Many-Server Queues with Reneging ⋮ Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts ⋮ Steady state analysis of a nonlinear renewal equation ⋮ The shape of the polymerization rate in the prion equation ⋮ Self-similarity in a general aggregation-fragmentation problem. Application to fitness analysis ⋮ Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations ⋮ A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary ⋮ Relative entropy method for measure-valued solutions in natural sciences ⋮ A decision-making Fokker-Planck model in computational neuroscience ⋮ Synchronisation and control of proliferation in cycling cell population models with age structure ⋮ Exponential equilibration of genetic circuits using entropy methods ⋮ EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL ⋮ Exponential decay for the fragmentation or cell-division equation ⋮ Decay solution for the renewal equation with diffusion ⋮ Analysis of a Population Model Structured by the Cells Molecular Content ⋮ On the Euler equations of incompressible fluids ⋮ On a nonlinear renewal equation with diffusion ⋮ Weighted \(L^p\) estimates and Fujita exponent for a nonlocal equation ⋮ ESTIMATES FOR APPROXIMATE SOLUTIONS TO A FUNCTIONAL DIFFERENTIAL EQUATION MODEL OF CELL DIVISION ⋮ EXISTENCE OF A SOLUTION TO THE CELL DIVISION EIGENPROBLEM ⋮ A nonlinear hyperbolic system modeling currency hoarding ⋮ Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts ⋮ Steady distribution of the incremental model for bacteria proliferation ⋮ A note on a neuron network model with diffusion ⋮ General relative entropy inequality: an illustration on growth models ⋮ A model for asymmetrical cell division
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The dissipative linear Boltzmann equation for hard spheres
- A theory for the age and generation time distribution of a microbial population
- On periodic cohort solutions of a size-structured population model
- Diffusion limit of a nonlinear kinetic model without the detailed balance principle
- Exponential decay for the fragmentation or cell-division equation
- General entropy equations for structured population models and scattering
- A mathematical model for analysis of the cell cycle in cell lines derived from human tumors
- Kinetic models for chemotaxis and their drift-diffusion limits
- Asymptotic behavior of a singular transport equation modelling cell division
- ENTROPIC METHODS FOR THE STUDY OF THE LONG TIME BEHAVIOR OF KINETIC EQUATIONS
- Exponential trend to equilibrium for discrete coagulation equations with strong fragmentation and without a balance condition
- Equilibration Rate for the Linear Inhomogeneous Relaxation-Time Boltzmann Equation for Charged Particles
- STABILITY IN A NONLINEAR POPULATION MATURATION MODEL
This page was built for publication: General entropy equations for structured population models and scattering