On a novel gradient flow structure for the aggregation equation

On a novel gradient flow structure for the aggregation equation

The aggregation equation arises naturally in kinetic theory in the study of granular media, and its interpretation as a 2-Wasserstein gradient flow for the nonlocal interaction energy is well-known. Starting from the spatially homogeneous inelastic Boltzmann equation, a formal Taylor expansion revea...

Volledige beschrijving

Bibliografische gegevens
Hoofdauteurs:	Esposito, A, Gvalani, RS, Schlichting, A, Schmidtchen, M
Formaat:	Journal article
Taal:	English
Gepubliceerd in:	Springer 2024

Gelijkaardige items

Phase transitions for nonlinear nonlocal aggregation-diffusion equations
door: Carrillo, JA, et al.
Gepubliceerd in: (2021)

Nonlocal-interaction equation on graphs: Gradient flow structure and continuum limit
door: Esposito, A, et al.
Gepubliceerd in: (2021)

Long-time behaviour and phase transitions for the Mckean–Vlasov equation on the torus
door: Carrillo, JA, et al.
Gepubliceerd in: (2019)

Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure
door: Bailo, R, et al.
Gepubliceerd in: (2020)

Many-particle limit for a system of interaction equations driven by Newtonian potentials
door: Di Francesco, M, et al.
Gepubliceerd in: (2021)

Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations
door: Bailo, R, et al.
Gepubliceerd in: (2020)

The Landau equation as a gradient flow
door: Carrillo, JA, et al.
Gepubliceerd in: (2024)

On a class of nonlocal continuity equations on graphs
door: Esposito, A, et al.
Gepubliceerd in: (2023)

Understanding the Landau equation as a gradient flow
door: Wu, JSH
Gepubliceerd in: (2022)

Measure solutions to a system of continuity equations driven by Newtonian nonlocal interactions
door: Carrillo, JA, et al.
Gepubliceerd in: (2019)

Competing effects in fourth‐order aggregation–diffusion equations
door: Antonio Carrillo, J, et al.
Gepubliceerd in: (2024)

Coarse graining of a Fokker–Planck equation with excluded volume effects preserving the gradient flow structure
door: Bruna, M, et al.
Gepubliceerd in: (2020)

Gradient Structures Associated with a Polynomial Differential Equation
door: Savin Treanţă
Gepubliceerd in: (2020-04-01)

STOCHASTIC GRADIENT ALGORITHM BASED ON THE AVERAGE AGGREGATE FUNCTIONS
door: Shibzukhov Z. M., et al.
Gepubliceerd in: (2016-11-01)

On the Convergence Rate of Incremental Aggregated Gradient Algorithms
door: Gurbuzbalaban, Mert, et al.
Gepubliceerd in: (2018)

Global solutions of aggregation equations and other flows with random diffusion
door: Rosenzweig, Matthew, et al.
Gepubliceerd in: (2022)

The Filippov characteristic flow for the aggregation equation with mildly singular potentials
door: Carrillo de la Plata, JA, et al.
Gepubliceerd in: (2015)

Hamilton’s gradient estimate for fast diffusion equations under geometric flow
door: Ghodratallah Fasihi-Ramandi
Gepubliceerd in: (2019-05-01)

Gradient estimates for a nonlinear parabolic equation with potential under geometric flow
door: Abimbola Abolarinwa
Gepubliceerd in: (2015-01-01)

Influence of Velocity Gradient on Optimisation of the Aggregation Process and Properties of Formed Aggregates
door: Polášek Pavel
Gepubliceerd in: (2011-09-01)

Gradient flows for $$\beta $$ β functions via multi-scale renormalization group equations
door: Ulrich Ellwanger
Gepubliceerd in: (2019-03-01)

Decentralised federated learning with adaptive partial gradient aggregation
door: Jingyan Jiang, et al.
Gepubliceerd in: (2020-05-01)

A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials
door: Sun, Z, et al.
Gepubliceerd in: (2017)

Quartic Gradient Flow
door: Muzi Hong, et al.
Gepubliceerd in: (2024-02-01)

Controllable gradient and concurrent improvements of strength-ductility in gradient-structured sheet fabricated by plastic flow machining
door: Xueqin Pang, et al.
Gepubliceerd in: (2023-03-01)

Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion
door: Carrillo de la Plata, J, et al.
Gepubliceerd in: (2025)

Understanding the Distributions of Benthic Foraminifera in the Adriatic Sea with Gradient Forest and Structural Equation Models
door: Masoud A. Rostami, et al.
Gepubliceerd in: (2023-01-01)

Global Convergence Rate of Proximal Incremental Aggregated Gradient Methods
door: Vanli, Nuri Denizcan, et al.
Gepubliceerd in: (2019)

Failure of Lightweight Aggregate Concrete in Compression under Stress Gradients
door: Zivkovic Jelena, et al.
Gepubliceerd in: (2019-06-01)

Sobolev gradients for differential algebraic equations
door: Manfred Sauter, et al.
Gepubliceerd in: (2008-03-01)

Semilinear elliptic equations with dependence on the gradient
door: Guanggang Liu, et al.
Gepubliceerd in: (2012-08-01)

Structure of ground state solutions for singular elliptic equations with a quadratic gradient term
door: Antonio Luiz Melo, et al.
Gepubliceerd in: (2011-05-01)

Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures
door: Bruna, M, et al.
Gepubliceerd in: (2016)

A Comparative Study of Gradient Descent Method and a Novel Non-Gradient Method for Structural Shape Optimization
door: Ishan Jha, et al.
Gepubliceerd in: (2022-04-01)

Micro-structured fluid within a channel under static and oscillatory pressure gradients: A novel Darcy-Forchheimer flow investigation
door: Yijie Li, et al.
Gepubliceerd in: (2023-11-01)

Thrombin-derived C-terminal peptides bind and form aggregates with sulfated glycosaminoglycans
door: Ganna Petruk, et al.
Gepubliceerd in: (2024-08-01)

Computational predictions of pulmonary blood flow gradients: gravity versus structure
door: Ks, B, et al.
Gepubliceerd in: (2006)

Pressure gradient means flow
door: Jueyue Yan, et al.
Gepubliceerd in: (2023-04-01)

Applications of the Perturbative Gradient Flow
door: Fabian Lange
Gepubliceerd in: (2022-06-01)

Proof of the renormalizability of the gradient flow
door: Kenji Hieda, et al.
Gepubliceerd in: (2017-05-01)