Analysis and Simulation of Nonlinear and Nonlocal Transport Equations
From MaRDI portal
Publication:5282887
DOI10.1007/978-3-319-49262-9_10zbMath1378.35081OpenAlexW2593887782MaRDI QIDQ5282887
Nicolas Vauchelet, Frédéric Lagoutière
Publication date: 17 July 2017
Published in: Innovative Algorithms and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-49262-9_10
Integro-partial differential equations (45K05) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for nonlinear first-order PDEs (35F25) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (3)
On the Discretization of Some Nonlinear Fokker--Planck--Kolmogorov Equations and Applications ⋮ Convergence analysis of upwind type schemes for the aggregation equation with pointy potential ⋮ Numerical schemes for the aggregation equation with pointy potentials
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations
- Asymptotics of blowup solutions for the aggregation equation
- Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
- Probabilistic analysis of the upwind scheme for transport equations
- Derivation of hyperbolic models for chemosensitive movement
- An integro-differential equation arising as a limit of individual cell-based models
- The Filippov characteristic flow for the aggregation equation with mildly singular potentials
- Diffusion and ecological problems: Modern perspectives.
- Convergence of a linearly transformed particle method for aggregation equations
- Convergence order of upwind type schemes for transport equations with discontinuous coefficients
- An interacting particle system modelling aggregation behavior: from individuals to populations
- Long-time asymptotics of kinetic models of granular flows
- Chemotaxis: from kinetic equations to aggregate dynamics
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms
- Numerical High-Field Limits in Two-Stream Kinetic Models and 1D Aggregation Equations
- A blob method for the aggregation equation
- Characterization of Radially Symmetric Finite Time Blowup in Multidimensional Aggregation Equations
- A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
- Lp theory for the multidimensional aggregation equation
- An Estimate on the Flow Generated by Monotone Operators
- One-dimensional transport equations with discontinuous coefficients
- Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients
- A kinetic equation for granular media
- Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
- Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients
- Numerical Methods for One-Dimensional Aggregation Equations
- A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
- Self-Similar Blowup Solutions to an Aggregation Equation in $R^n$
- Differential equations with discontinuous right-hand side
- Optimal Transport
This page was built for publication: Analysis and Simulation of Nonlinear and Nonlocal Transport Equations
