A simple 1D model of inviscid fluid–solid interaction

Fré́dé́ric Lagoutière, Nicolas Seguin, Takéo Takahashi

Type: Article

Publication Date: 2008-04-29

Citations: 22

DOI: https://doi.org/10.1016/j.jde.2008.03.011

View Publication

Locations

Journal of Differential Equations - View
HAL (Le Centre pour la Communication Scientifique Directe) - View

Similar Works

Action	Title	Year	Authors
+	LACK OF COLLISION IN A SIMPLIFIED 1D MODEL FOR FLUID–SOLID INTERACTION	2006	Juan Luís Vázquez Enrique Zuazua
+ PDF Chat	Small solids in an inviscid fluid	2010	Boris Andreïanov Fré́dé́ric Lagoutière Nicolas Seguin Takéo Takahashi
+ PDF Chat	Riemann problem for a particle–fluid coupling	2014	Nina Aguillon
+	Large Time Behavior for a Simplified 1D Model of Fluid–Solid Interaction†	2003	Juan Luís Vázquez Enrique Zuazua
+	On Well-Posedness for a Multi-particle Fluid Model	2018	Christian Klingenberg Jens Klotzky Nicolas Seguin
+	Numerical analysis of collision models in 2D particulate flow	2013	Kamran Usman
+ PDF Chat	Global weak solutions to inviscid Burgers–Vlasov equations	2020	Huimin Yu Wentao Cao
+ PDF Chat	Analysis of a system modelling the motion of a piston in a viscous gas	2016	Debayan Maity Takéo Takahashi Marius Tucsnak
+	Global weak solutions to inviscid Burgers-Vlasov equations	2020	Huimin Yu Wentao Cao
+ PDF Chat	Non-uniqueness of delta shocks and contact discontinuities in the multi-dimensional model of Chaplygin gas	2021	Jan Březina Ondřej Kreml Václav Mácha
+	Non-uniqueness of delta shocks and contact discontinuities in the multi-dimensional model of Chaplygin gas	2018	Jan Březina Ondřej Kreml Václav Mácha
+	Non-uniqueness of delta shocks and contact discontinuities in the multi-dimensional model of Chaplygin gas	2018	Jan Březina Ondřej Kreml Václav Mácha
+	Strong solutions for the fluid–solid systems in a 2-D domain	2014	Chao Wang
+	One-dimensional hard rod caricature of hydrodynamics	1983	C. Boldrighini R. L. Dobrushin Yu. M. Sukhov
+	Motion of several rigid bodies in a compressible fluid – mixed case	2022	Šárka Nečasová Mythily Ramaswamy Arnab Roy Anja Schlömerkemper
+	Global Existence and Large Time Behavior of Classical Solutions to the Incompressible Inhomogeneous Euler-Vlasov-Fokker-Planck System	2023	Fucai Li Yue Li Man Wu Zhipeng Zhang
+	Burgers’ equation and the sticky particles model	2012	Octave Moutsinga
+	Fast fusion in a two-dimensional coagulation model	2023	Iulia Cristian Juan J. L. Velázquez
+	Global solutions for the one-dimensional compressible Navier-Stokes-Smoluchowski system	2017	Jian Lin Zhang Changming Song Hong Li
+ PDF Chat	Continuous solution for a non-linear eikonal system	2021	Ahmad El Hajj Aya Oussaily

Works That Cite This (19)

Action	Title	Year	Authors
+	Étude mathématique et numérique du transport d'aérosols dans le poumon humain.	2009	Ayman Moussa
+ PDF Chat	Riemann problem for a particle–fluid coupling	2014	Nina Aguillon
+	Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems	2014	Nina Aguillon
+ PDF Chat	On the coupling of systems of hyperbolic conservation laws with ordinary differential equations	2010	Raul Borsche Rinaldo M. Colombo Mauro Garavello
+ PDF Chat	New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux	2015	Boris Andreïanov
+	Dissipative Coupling of Scalar Conservation Laws across an Interface: Theory and Applications	2012	Boris Andreïanov
+ PDF Chat	Analysis of the Riemann Problem for a Shallow Water Model with Two Velocities	2018	Nina Aguillon Emmanuel Audusse Edwige Godlewski Martin Parisot
+ PDF Chat	Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions	2023	Boris Andreïanov Abraham Sylla
+	Global weak solutions to inviscid Burgers-Vlasov equations	2020	Huimin Yu Wentao Cao
+ PDF Chat	Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid	2019	Ludovic Goudenège Adam Larat Julie Llobell Marc Massot David Mercier Olivier Thomine Aymeric Vié

Works Cited by This (29)

Action	Title	Year	Authors
+	Numerical Approximation of Hyperbolic Systems of Conservation Laws	1996	Edwige Godlewski Pierre-Arnaud Raviart
+	Asymptotic collisions between solid particles in a Burgers–Hopf fluid	2005	Matthieu Hillairet
+	Existence of Weak Solutions for the Motion of Rigid Bodies in a Viscous Fluid	1999	Benoı̂t Desjardins Maria J. Esteban
+	Strong Traces for Solutions of Multidimensional Scalar Conservation Laws	2001	Alexis Vasseur
+	FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES	1970	S N Kružkov
+	Global Weak Solutions¶for the Two-Dimensional Motion¶of Several Rigid Bodies¶in an Incompressible Viscous Fluid	2002	Jorge Alonso San Martı́n V. N. Starovoîtov Marius Tucsnak
+	On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models	1999	Benoı̂t Desjardins Maria J. Esteban
+	Well-posedness of a kinetic model of dispersed two-phase flow with point-particles and stability of travelling waves	2002	Komla Domelevo
+ PDF Chat	Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model	2006	José A. Carrillo Thierry Goudon
+	Global Existence of Weak Solutions for Viscous Incompressible Flows around a Moving Rigid Body in Three Dimensions	2000	Max Gunzburger Hyeon-Cheol Lee G. Serëgin