ESAIM Proceedings and Surveys最新文献_第7页

Second Workshop on Compressible Multiphase Flows Derivation, closure laws, thermodynamics 第二研讨会:可压缩多相流的推导，闭包定律，热力学

ESAIM Proceedings and Surveys Pub Date : 2020-01-01 DOI: 10.1051/proc/202069000

P. Helluy, J. Hérard, N. Seguin

引用次数: 1

‘Uncertainty’ principle in two fluid–mechanics 两种流体力学中的“不确定性”原理

ESAIM Proceedings and Surveys Pub Date : 2020-01-01 DOI: 10.1051/PROC/202069047

S. Gavrilyuk

{"title":"‘Uncertainty’ principle in two fluid–mechanics","authors":"S. Gavrilyuk","doi":"10.1051/PROC/202069047","DOIUrl":"https://doi.org/10.1051/PROC/202069047","url":null,"abstract":"Hamilton’s principle (or principle of stationary action) is one of the basic modelling tools in finite-degree-of-freedom mechanics. It states that the reversible motion of mechanical systems is completely determined by the corresponding Lagrangian which is the difference between kinetic and potential energy of our system. The governing equations are the Euler-Lagrange equations for Hamil- ton’s action. Hamilton’s principle can be naturally extended to both one-velocity and multi-velocity continuum mechanics (infinite-degree-of-freedom systems). In particular, the motion of multi–velocity continuum is described by a coupled system of ‘Newton’s laws’ (Euler-Lagrange equations) for each component. The introduction of dissipative terms compatible with the second law of thermodynamics and a natural restriction on the behaviour of potential energy (convexity) allows us to derive physically reasonable and mathematically well posed governing equations. I will consider a simplest example of two-velocity fluids where one of the phases is incompressible (for example, flow of dusty air, or flow of compressible bubbles in an incompressible fluid). A very surprising fact is that one can obtain different governing equations from the same Lagrangian. Different types of the governing equations are due to the choice of independent variables and the corresponding virtual motions. Even if the total momentum and total energy equations are the same, the equations for individual components differ from each other by the presence or absence of gyroscopic forces (also called ‘lift’ forces). These forces have no influence on the hyperbolicity of the governing equations, but can drastically change the distribution of density and velocity of components. To the best of my knowledge, such an uncertainty in obtaining the governing equations of multi- phase flows has never been the subject of discussion in a ‘multi-fluid’ community.","PeriodicalId":53260,"journal":{"name":"ESAIM Proceedings and Surveys","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81513888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

A conservative saint-venant type model to describe the dynamics of thin partially wetting films with regularized forces at the contact line 一个保守的saint-venant型模型来描述在接触线上具有正则化力的部分湿润薄膜的动力学

ESAIM Proceedings and Surveys Pub Date : 2020-01-01 DOI: 10.1051/PROC/202069079

P. Trontin, Julien Lallement, P. Villedieu

{"title":"A conservative saint-venant type model to describe the dynamics of thin partially wetting films with regularized forces at the contact line","authors":"P. Trontin, Julien Lallement, P. Villedieu","doi":"10.1051/PROC/202069079","DOIUrl":"https://doi.org/10.1051/PROC/202069079","url":null,"abstract":"This paper deals with the numerical simulation of thin liquid films flowing on partially wetting solid substrates. A 2D Saint-Venant like model is proposed. Its originality lies in the conservative formulation of the capillary forces and in the model used for the disjoining pressure that accounts for the contact line capillary forces. A finite volume scheme is proposed for the resolution of the system and various numerical examples are presented and discussed. In particular, when the mesh resolution is fine enough, the model is proved to be able to predict correctly the spreading of a film with the exact contact angle in the vicinity of the contact line. When the mesh size is larger than the film thickness (which could be the case for many industrial applications), it is of course no longer possible to recover the contact angle. However, the model is proved to correctly predict the spreading of the film. This important feature is related to the thermodynamic consistency of the model in the sense that the latter ensures by construction the decrease of the film total free energy in the absence of external driving forces.","PeriodicalId":53260,"journal":{"name":"ESAIM Proceedings and Surveys","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89371477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Lubrication and shallow-water systems Bernis-Friedman and BD entropies 润滑和浅水系统，beris - friedman和BD熵

ESAIM Proceedings and Surveys Pub Date : 2020-01-01 DOI: 10.1051/PROC/202069001

D. Bresch, M. Colin, K. Msheik, P. Noble, Xi Song

{"title":"Lubrication and shallow-water systems Bernis-Friedman and BD entropies","authors":"D. Bresch, M. Colin, K. Msheik, P. Noble, Xi Song","doi":"10.1051/PROC/202069001","DOIUrl":"https://doi.org/10.1051/PROC/202069001","url":null,"abstract":"This paper concerns the results recently announced by the authors, in C.R. Acad. Sciences Maths volume 357, Issue 1, 1-6 (2019), which make the link between the BD entropy introduced by D. Bresch and B. Desjardins for the viscous shallow-water equations and the Bernis-Friedman (called BF in our paper) dissipative entropy introduced to study the lubrication equations. More precisely different dissipative BF entropies are obtained from the BD entropies playing with drag terms and capillarity formula for viscous shallow water type equations. This is the main idea in the paper which makes the link between two communities. The limit processes employ the standard compactness arguments taking care of the control in the drag terms. It allows in one dimension for instance to prove global existence of nonnegative weak solutions for lubrication equations starting from the global existence of nonnegative weak solutions for appropriate viscous shallow-water equations (for which we refer to appropriate references). It also allows to prove global existence of nonnegative weak solutions for fourth-order equation including the Derrida-Lebowitz-Speer-Spohn equation starting from compressible Navier-Stokes type equations.","PeriodicalId":53260,"journal":{"name":"ESAIM Proceedings and Surveys","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84480119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Optimal release of mosquitoes to control dengue transmission 最佳释放蚊子以控制登革热传播

ESAIM Proceedings and Surveys Pub Date : 2020-01-01 DOI: 10.1051/PROC/202067002

L. Almeida, A. Haddon, Claire Kermorvant, Alexis Léculier, Y. Privat, Martin Strugarek, N. Vauchelet, J. Zubelli

引用次数: 8

Individual-based models under various time-scales 不同时间尺度下基于个体的模型

ESAIM Proceedings and Surveys Pub Date : 2019-11-28 DOI: 10.1051/proc/202068007

Aurélien Velleret

引用次数: 4

Swimming at low Reynolds number 在低雷诺数下游泳

ESAIM Proceedings and Surveys Pub Date : 2019-11-27 DOI: 10.1051/PROC/202067004

Luca Berti, L. Giraldi, C. Prud'homme

引用次数: 2

Admissible equations of state for immiscible and miscible mixtures 非混相和混相混合物的可容许状态方程

ESAIM Proceedings and Surveys Pub Date : 2019-10-07 DOI: 10.1051/proc/201966001

Gloria Faccanoni, H. Mathis

引用次数: 8

Statistical data analysis in the Wasserstein space Wasserstein空间的统计数据分析

ESAIM Proceedings and Surveys Pub Date : 2019-07-19 DOI: 10.1051/proc/202068001

Jérémie Bigot

引用次数: 17

Multiscale population dynamics in reproductive biology: singular perturbation reduction in deterministic and stochastic models 生殖生物学中的多尺度种群动态:确定性和随机模型中的奇异扰动减少

ESAIM Proceedings and Surveys Pub Date : 2019-03-04 DOI: 10.1051/proc/202067006

Céline Bonnet, K. Chahour, F. Cl'ement, M. Postel, R. Yvinec

引用次数: 5