A Nonlocal Version of Wavefront Tracking Motivated by Kuramoto-Sakaguchi Equation
From MaRDI portal
Publication:5282878
DOI10.1007/978-3-319-49262-9_1zbMath1367.65131OpenAlexW2594063528MaRDI QIDQ5282878
Debora Amadori, Jinyeong Park, Seung-Yeal Ha
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_1
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Granular flows (76T25)
Cites Work
- On the global well-posedness of BV weak solutions to the Kuramoto-Sakaguchi equation
- Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow
- Front tracking approximations for slow erosion
- Collective synchronization of classical and quantum oscillators
- Contractivity of transport distances for the kinetic Kuramoto equation
- On the complete phase synchronization for the Kuramoto model in the mean-field limit
- A shocking display of synchrony
- Erosion profile by a global model for granular flow
- Control of the continuity equation with a non local flow
- On the Vlasov Limit for Systems of Nonlinearly Coupled Oscillators without Noise
- Numerical Methods for One-Dimensional Aggregation Equations
- Convergent Lagrangian Discretization for Drift-Diffusion with Nonlocal Aggregation
- Lagrangian Numerical Approximations to One‐Dimensional Convolution‐Diffusion Equations
