Well-posedness for a one-dimensional fluid-particle interaction model
type: Dataset
description: The fluid-particle interaction model introduced by the three last authors in [J. Differential Equations, 245 (2008), pp. 3503-3544] is the object of our study. This system consists of the Burgers equation with a singular source term (term that models the interaction via a drag force with a moving point particle) and of an ODE for the particle path. The notion of entropy solution for the singular Burgers equation is inspired by the theory of conservation laws with discontinuous flux developed by the first author, Kenneth Hvistendahl Karlsen and Nils Henrik Risebro in [Arch. Ration. Mech. Anal., 201 (2011), pp. 26-86]. In this paper, we prove well-posedness and justify an approximation strategy for the particle-in-Burgers system in the case of initial data of bounded variation. Existence result for L∞ data is also given.
landing page: 0036-1410
keyword: 35l65-35l81-35r06-65m12
keyword: burgers-equation
keyword: bv-estimates
keyword: fixed-point
keyword: fluid-particle-interaction
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: non-conservative-coupling
keyword: splitting
keyword: wave-front-tracking
keyword: well-posedness
issued: 2026-05-14T10:47:08.345293
modified: 2026-05-14T10:47:08.345302
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Well-posedness for a one-dimensional fluid-particle interaction model
type: Distribution
format: HTML
access URL: https://hal.science/hal-00789315
issued: 2026-05-14T10:47:08.356067
modified: 2026-05-14T10:47:08.300930