A Modeling of Biospray for the Upper Airways
ESAIM: Proc., 14 (2005) 41-47
Published online: 2005-09-23
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Discontinuous Galerkin Methods for the Vlasov–Stokes System
Harsha Hutridurga, Krishan Kumar and Amiya K. PaniComputational Methods in Applied Mathematics 25 (1) 93 (2025)
https://doi.org/10.1515/cmam-2023-0243
Global existence and time decay rate of classical solutions to a hybrid Vlasov-Fokker-Planck-MHD equations
Peng Jiang and Jiayu HeJournal of Mathematical Analysis and Applications 543 (2) 129004 (2025)
https://doi.org/10.1016/j.jmaa.2024.129004
The global existence of strong solutions to thermomechanical Cucker-Smale-Stokes equations in the whole domain
Weiyuan ZouActa Mathematica Scientia 44 (3) 887 (2024)
https://doi.org/10.1007/s10473-024-0307-8
The small deborah number limit for the fluid-particle flows: Incompressible case
Zhendong Fang, Kunlun Qi and Huanyao WenMathematical Models and Methods in Applied Sciences 34 (12) 2265 (2024)
https://doi.org/10.1142/S0218202524500489
Bounded absorbing sets for compressible non-Newtonian fluids
Jan MuhammadJournal of Engineering Mathematics 149 (1) (2024)
https://doi.org/10.1007/s10665-024-10404-9
Energy estimates and hypocoercivity analysis for a multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with uncertainty
Shi Jin and Yiwen LinJournal of Differential Equations 400 110 (2024)
https://doi.org/10.1016/j.jde.2024.04.013
Shock profiles for hydrodynamic models for fluid-particles flows in the flowing regime
Thierry Goudon, Pauline Lafitte and Corrado MasciaPhysica D: Nonlinear Phenomena 470 134357 (2024)
https://doi.org/10.1016/j.physd.2024.134357
On the Global Existence for a Class of Compressible Non-Newtonian Fluids with Inhomogeneous Boundary Data
J. MuhammadRussian Journal of Mathematical Physics 31 (2) 276 (2024)
https://doi.org/10.1134/S1061920824020109
Global Weak Solutions to a Three-Dimensional Quantum Kinetic-Fluid Model
Fucai Li, Yue Li and Baoyan SunActa Mathematica Scientia 43 (5) 2089 (2023)
https://doi.org/10.1007/s10473-023-0510-z
Optimal well-posedness for the pressureless Euler–Navier–Stokes system
Xiaoping Zhai, Yiren Chen, Yongsheng Li and Yongye ZhaoJournal of Mathematical Physics 64 (5) (2023)
https://doi.org/10.1063/5.0136429
On the dynamics of charged particles in an incompressible flow: From kinetic-fluid to fluid–fluid models
Young-Pil Choi and Jinwook JungCommunications in Contemporary Mathematics 25 (07) (2023)
https://doi.org/10.1142/S0219199722500122
Linear Stability of Thick Sprays Equations
C. Buet, B. Després and L. DesvillettesJournal of Statistical Physics 190 (3) (2023)
https://doi.org/10.1007/s10955-022-03057-4
Global weak solutions to the Vlasov–Poisson–Fokker–Planck–Navier–Stokes system
Li Chen, Fucai Li, Yue Li and Nicola ZamponiMathematical Methods in the Applied Sciences 46 (2) 2729 (2023)
https://doi.org/10.1002/mma.8672
Global weak solutions to a quantum kinetic-fluid model with large initial data
Yue Li and Baoyan SunNonlinear Analysis: Real World Applications 71 103822 (2023)
https://doi.org/10.1016/j.nonrwa.2022.103822
Global existence and large time behaviour for the pressureless Euler–Naver–Stokes system in ℝ3
Shanshan Guo, Guochun Wu and Yinghui ZhangProceedings of the Royal Society of Edinburgh: Section A Mathematics 1 (2023)
https://doi.org/10.1017/prm.2023.16
Global weak solutions to the compressible Cucker–Smale–Navier–Stokes system in a bounded domain
Li Chen, Yue Li and Nicola ZamponiNonlinear Analysis 232 113257 (2023)
https://doi.org/10.1016/j.na.2023.113257
Temporal decays and asymptotic behaviors for a Vlasov equation with a flocking term coupled to incompressible fluid flow
Young-Pil Choi, Kyungkeun Kang, Hwa Kil Kim and Jae-Myoung KimNonlinear Analysis: Real World Applications 63 103410 (2022)
https://doi.org/10.1016/j.nonrwa.2021.103410
Global-in-time dynamics of the two-phase fluid model in a bounded domain
Jinwook JungNonlinear Analysis 223 113044 (2022)
https://doi.org/10.1016/j.na.2022.113044
Wave Phenomena to the Three-Dimensional Fluid-Particle Model
Hai-Liang Li, Teng Wang and Yi WangArchive for Rational Mechanics and Analysis 243 (2) 1019 (2022)
https://doi.org/10.1007/s00205-021-01747-z
Global Classical Solution to the Navier–Stokes–Vlasov Equations with Large Initial Data and Reflection Boundary Conditions
Peng JiangJournal of Mathematical Fluid Mechanics 24 (1) (2022)
https://doi.org/10.1007/s00021-021-00635-6
Global Bounded Weak Entropy Solutions to the Euler--Vlasov Equations in Fluid-Particle System
Wentao Cao and Peng JiangSIAM Journal on Mathematical Analysis 53 (4) 3958 (2021)
https://doi.org/10.1137/20M138630X
Global weak solutions for a Vlasov–Fokker–Planck/Navier–Stokes system with nonhomogeneous boundary data
Yue LiZeitschrift für angewandte Mathematik und Physik 72 (2) (2021)
https://doi.org/10.1007/s00033-021-01488-9
On the Cauchy Problem for the Pressureless Euler–Navier–Stokes System in the Whole Space
Young-Pil Choi and Jinwook JungJournal of Mathematical Fluid Mechanics 23 (4) (2021)
https://doi.org/10.1007/s00021-021-00624-9
Global well-posedness of one-dimensional compressible Navier-Stokes-Vlasov system
Hai-Liang Li and Ling-Yun ShouJournal of Differential Equations 280 841 (2021)
https://doi.org/10.1016/j.jde.2021.01.040
Asymptotic analysis for a Vlasov–Fokker–Planck/Navier–Stokes system in a bounded domain
Young-Pil Choi and Jinwook JungMathematical Models and Methods in Applied Sciences 31 (11) 2213 (2021)
https://doi.org/10.1142/S0218202521500482
Asymptotic analysis for a homogeneous bubbling regime Vlasov–Fokker–Planck/Navier–Stokes system
Joshua BallewZeitschrift für angewandte Mathematik und Physik 71 (4) (2020)
https://doi.org/10.1007/s00033-020-01359-9
Global weak solutions to a Vlasov‐Fokker‐Planck/compressible non‐Newtonian fluid system of equations
Huan Zhu, Li Fang, Jan Muhammad and Zhenhua GuoZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 100 (4) (2020)
https://doi.org/10.1002/zamm.201900091
Global existence and large time behavior of classical solutions to the Euler-Maxwell-Vlasov-Fokker-Planck system
Peng JiangJournal of Differential Equations 268 (12) 7715 (2020)
https://doi.org/10.1016/j.jde.2019.11.085
Global existence of weak solutions to the incompressible Vlasov–Navier–Stokes system coupled to convection–diffusion equations
Laurent Boudin, David Michel and Ayman MoussaMathematical Models and Methods in Applied Sciences 30 (08) 1485 (2020)
https://doi.org/10.1142/S0218202520500293
Global well-posedness and optimal large-time behavior of strong solutions to the non-isentropic particle-fluid flows
Yanmin Mu and Dehua WangCalculus of Variations and Partial Differential Equations 59 (4) (2020)
https://doi.org/10.1007/s00526-020-01776-8
Global existence of weak solutions for Navier–Stokes-BGK system
Young-Pil Choi and Seok-Bae YunNonlinearity 33 (4) 1925 (2020)
https://doi.org/10.1088/1361-6544/ab6c38
On the existence of global strong solutions to 2D compressible Navier–Stokes–Smoluchowski equations with large initial data
Bingkang Huang, Lvqiao Liu and Lan ZhangNonlinear Analysis: Real World Applications 49 169 (2019)
https://doi.org/10.1016/j.nonrwa.2019.03.005
Global Existence and Decay Estimates for the Classical Solutions to a Compressible Fluid-Particle Interaction Model
Shijin Ding, Bingyuan Huang and Quanrong LiActa Mathematica Scientia 39 (6) 1525 (2019)
https://doi.org/10.1007/s10473-019-0605-8
Low Mach number limit of the compressible Navier-Stokes-Smoluchowski equations in multi-dimensions
Bingyuan Huang, Jinrui Huang and Huanyao WenJournal of Mathematical Physics 60 (6) (2019)
https://doi.org/10.1063/1.5089229
Global dynamics of the thermomechanical Cucker–Smale ensemble immersed in incompressible viscous fluids
Young-Pil Choi, Seung-Yeal Ha, Jinwook Jung and Jeongho KimNonlinearity 32 (5) 1597 (2019)
https://doi.org/10.1088/1361-6544/aafaae
Finite-time blow-up phenomena of Vlasov/Navier–Stokes equations and related systems
Young-Pil ChoiJournal de Mathématiques Pures et Appliquées 108 (6) 991 (2017)
https://doi.org/10.1016/j.matpur.2017.05.019
Strong Solutions to the Compressible Navier--Stokes--Vlasov--Fokker--Planck Equations: Global Existence Near the Equilibrium and Large Time Behavior
Fucai Li, Yanmin Mu and Dehua WangSIAM Journal on Mathematical Analysis 49 (2) 984 (2017)
https://doi.org/10.1137/15M1053049
Global solutions for the one-dimensional compressible Navier-Stokes-Smoluchowski system
Jianlin Zhang, Changming Song and Hong LiJournal of Mathematical Physics 58 (5) (2017)
https://doi.org/10.1063/1.4982360
Global well-posedness and large time behavior of classical solutions to the Vlasov–Fokker–Planck and magnetohydrodynamics equations
Peng JiangJournal of Differential Equations 262 (3) 2961 (2017)
https://doi.org/10.1016/j.jde.2016.11.020
Global existence of weak and strong solutions to Cucker–Smale–Navier–Stokes equations in R2
Young-Pil Choi and Jihoon LeeNonlinear Analysis: Real World Applications 27 158 (2016)
https://doi.org/10.1016/j.nonrwa.2015.07.013
Global Weak Solutions to the Magnetohydrodynamic and Vlasov Equations
Robin Ming Chen, Jilong Hu and Dehua WangJournal of Mathematical Fluid Mechanics 18 (2) 343 (2016)
https://doi.org/10.1007/s00021-015-0238-1
Large-time behavior for the Vlasov/compressible Navier-Stokes equations
Young-Pil ChoiJournal of Mathematical Physics 57 (7) 071501 (2016)
https://doi.org/10.1063/1.4955026
A Semi-Lagrangian Approach for Dilute Non-Collisional Fluid-Particle Flows
Aude Bernard-Champmartin, Jean-Philippe Braeunig, Christophe Fochesato and Thierry GoudonCommunications in Computational Physics 19 (3) 801 (2016)
https://doi.org/10.4208/cicp.180315.110915a
Modelling and Numerics for Respiratory Aerosols
Laurent Boudin, Céline Grandmont, Alexander Lorz and Ayman MoussaCommunications in Computational Physics 18 (3) 723 (2015)
https://doi.org/10.4208/cicp.180714.200415a
Asymptotic‐preserving schemes for kinetic–fluid modeling of disperse two‐phase flows with variable fluid density
Thierry Goudon, Shi Jin, Jian‐Guo Liu and Bokai YanInternational Journal for Numerical Methods in Fluids 75 (2) 81 (2014)
https://doi.org/10.1002/fld.3885
Strong solutions for a 1D fluid-particle interaction non-newtonian model: The bubbling regime
Yukun Song, Hongjun Yuan, Yang Chen and Zhidong GuoJournal of Mathematical Physics 54 (9) 091501 (2013)
https://doi.org/10.1063/1.4820446
Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows
Thierry Goudon, Shi Jin, Jian-Guo Liu and Bokai YanJournal of Computational Physics 246 145 (2013)
https://doi.org/10.1016/j.jcp.2013.03.038
A level set approach for dilute non-collisional fluid-particle flows
Hailiang Liu, Zhongming Wang and Rodney O. FoxJournal of Computational Physics 230 (4) 920 (2011)
https://doi.org/10.1016/j.jcp.2010.08.030
On the dynamics of a fluid–particle interaction model: The bubbling regime
J.A. Carrillo, T. Karper and K. TrivisaNonlinear Analysis: Theory, Methods & Applications 74 (8) 2778 (2011)
https://doi.org/10.1016/j.na.2010.12.031
Simulation of fluid and particles flows: Asymptotic preserving schemes for bubbling and flowing regimes
José-Antonio Carrillo, Thierry Goudon and Pauline LafitteJournal of Computational Physics 227 (16) 7929 (2008)
https://doi.org/10.1016/j.jcp.2008.05.002