Journal of Mathematical Fluid Mechanics

IF

Papers

Papers 849

1 page of 85 pages (849 results)

#1Wendong Wang (DUT: Dalian University of Technology)H-Index: 9

For the two dimensional steady MHD equations, we prove that Liouville type theorems hold if the velocity is growing fast at infinity. The main obstacle comes from the nonlinear terms, since the vorticity system of the MHD equations has no maximum principle unlike the Navier–Stokes equations. As a corollary, we obtain that all solutions of the 2D Navier–Stokes equations satisfying null null null null null null null null null null null null null null null null null null null null null null null nu...

#1J. López-Ríos (Industrial University of Santander)

#2Diego Armando Rueda-Gómez (Industrial University of Santander)H-Index: 4

Last. Elder J. Villamizar-Roa (Industrial University of Santander)H-Index: 10

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This paper is devoted to the theoretical and numerical analysis of the heat transport problem through a viscous and incompressible fluid in a Hele–Shaw geometry. This model corresponds to a bi-dimensional system derived from the 3D-Navier–Stokes equations coupled with an advection-diffusion equation for the heat transport. We analyze the existence of global solutions and construct a numerical scheme, based on finite element approximations in space and finite differences in time. We prove the wel...

#1Fei Xu (DUT: Dalian University of Technology)H-Index: 1

#2Yong Zhang (DUT: Dalian University of Technology)H-Index: 1

Last. Fengquan Li (DUT: Dalian University of Technology)H-Index: 5

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This paper considers two-dimensional steady continuously stratified periodic water waves. We first use the moving plane method to establish that the stratified water waves must be symmetric provided streamlines in a neighborhood of the trough line are monotone. Further, we prove that all streamlines are real analytic (including the free surface) by applying the Schauder estimates on the uniform oblique derivative problem. Finally we provide an analytic expansion method to recover the water waves...

#1Jifeng Chu (SHNU: Shanghai Normal University)H-Index: 4

#2Qixing Ding (SHNU: Shanghai Normal University)

Last. Joachim Escher (Leibniz University of Hanover)H-Index: 44

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We present a variational formulation for steady periodic water waves in two-layer flows by showing that critical points of a natural energy functional are solutions to the governing equations derived from first principles. We also compute the second variation of the functional.

Correction to: On Weak (Measure-Valued)–Strong Uniqueness for Compressible Navier–Stokes System with Non-monotone Pressure Law

#1Nilasis Chaudhuri (Technical University of Berlin)H-Index: 1

#1Jin Tan (Paris 12 Val de Marne University)

We are concerned with the global existence of finite energy weak solutions to 3D density-dependent magnetohydrodynamics (MHD) system with Hall-effect set in a general smooth bounded domain. The perfectly conducting wall boundary condition is imposed on the magnetic field. Due to the degeneracy of Hall-effect term (a tri-linear term) in vacuum, we assumed initial density lies in the bounded function space and having a positive lower bound. Particularly, these bounds are preserved by the density t...

Mathematical Modeling and Numerical Simulation of Atherosclerotic Plaque Progression Based on Fluid-Structure Interaction

#1Silvia Pozzi (Polytechnic University of Milan)H-Index: 1

#2Alberto Redaelli (Polytechnic University of Milan)H-Index: 49

Last. Paolo Zunino (Polytechnic University of Milan)H-Index: 28

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In this work we propose a mathematical and numerical model to describe the early stages of atherosclerotic plaque formation, which is based on the interaction of processes with different spatial and temporal scales. A fluid–structure interaction problem, used to describe the cardiovascular mechanics arising between blood and the artery wall, is coupled to a set of differential problems describing the evolution of solute concentrations. In order to manage the multiscale-in-space nature of the inv...

#1JinRong Wang (Guida: Guizhou University)H-Index: 40

#2Michal Fečkan (SAV: Slovak Academy of Sciences)H-Index: 28

Last. Yi Guan (Guida: Guizhou University)H-Index: 1

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In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with constant eddy viscosity. Three dimensional Ekman flows with constant vorticity is considered in the null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null...

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