The weak-strong uniqueness for Maxwell--Stefan systems and some generalized is proved. corresponding parabolic cross-diffusion equations are considered in a bounded domain with no-flux boundary conditions. key points of the proofs various inequalities relative entropy associated analysis spectrum quadratic form capturing frictional dissipation. latter task complicated by singular nature diffusi...

2 Macroscopic modeling 5 2.1 Concentration measures, mixture velocity and diffusion fluxes . . . . . . . . 5 2.2 Species transport equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Fick model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Limits of Fick model: osmotic diffusion, reverse diffusion and diffusion barrier 8 2.5 Maxwell-Stefan mo...

Mass diffusion in multicomponent gas mixtures is governed by a coupled system of linear equations for the diffusive mass ̄uxes in terms of thermodynamic driving forces, known as the generalized Stefan±Maxwell equation. In computations of mass diffusion in multicomponent gas mixtures, this coupling between the different components results in considerable computational overhead. Consequently, sim...

This paper presents an extended multicomponent lattice Boltzmann model for the simulation of electrolytes. It is derived by means of a finite discrete velocity model and its discretization. The model recovers momentum and mass transport according to the incompressible Navier-Stokes equation and Maxwell-Stefan formulation, respectively. It includes external driving forces (e.g., electric field) ...

We present the Onsager–Stefan–Maxwell thermodiffusion equations, which account for Soret and Dufour effects in multicomponent fluids. Unlike transport laws derived from kinetic theory, this framework preserves structure of isothermal Stefan–Maxwell separating thermodynamic forces that drive diffusion force drives heat flow. The transport-coefficient matrix is symmetric, second law thermodynamic...

Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities 40/2012 S. Simonov, H. Woracek Spectral multiplicity of selfadjoint Schrödinger operators on star-graphs with standard interface conditions 39/2012 Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations 36/2012 M. Bukal, E. Emmrich, and A. Jüngel Entropy-stable and ...

We consider the non-reactive elastic Boltzmann equation for multicomponent gaseous mixtures. We deduce, under the standard diffusive scaling, that well prepared initial conditions lead to solutions satisfying the Maxwell-Stefan diffusion equations in the vanishing Mach and Knudsen numbers limit.

The general form of the Stefan-Boltzmann law for the energy density of black-body radiation is generalized to a spacetime with extra dimensions using standard kinetic and thermodynamic arguments. From statistical mechanics one obtains an exact formula. In a field-theoretic derivation, the Maxwell field must be quantized. The notion of electric and magnetic fields is different in spacetimes with...

Abstract The aim of this work is to propose a provably convergent finite volume scheme for the so-called Stefan–Maxwell model, which describes evolution composition multi-component mixture and reads as cross-diffusion system. proposed here relies on two-point flux approximation, preserves at discrete level some fundamental theoretical properties continuous models, namely non-negativity solution...