Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Pierre-Etienne Druet"'
Publikováno v:
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9bf6da15d0fae29a96c2da63e9f6ec36
https://doi.org/10.1002/zamm.202100174
https://doi.org/10.1002/zamm.202100174
Autor:
Pierre-Etienne Druet
In this paper we discuss the incompressible limit for multicomponent fluids in the isothermal ideal case. Both a direct limit-passage in the equation of state and the low Mach-number limit in rescaled PDEs are investigated. Using the relative energy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8044f0a3ecda51ce86493f01b53911a0
Autor:
Pierre-Etienne Druet
We consider a Navier–Stokes–Fick–Onsager–Fourier system of PDEs describing mass, energy and momentum balance in a Newtonian fluid with composite molecular structure. For the resulting parabolic–hyperbolic system, we introduce the notion of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4dfcf7d6670f5bea94d1ff7736a77cd
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 71
We consider an improved Nernst–Planck–Poisson model first proposed by Dreyer et al. in 2013 for compressible isothermal electrolytes in non-equilibrium. The elastic deformation of the medium, that induces an inherent coupling of mass and momentum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db36105be76a3d9601006800ec4f4156
https://doi.org/10.1007/s00033-020-01341-5
https://doi.org/10.1007/s00033-020-01341-5
Autor:
Pierre-Etienne Druet
After the pioneering work by Giovangigli on mathematics of multicomponent flows, several attempts were made to introduce global weak solutions for the PDEs describing the dynamics of fluid mixtures. While the incompressible case with constant density
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::418c0225b1fb5dcf33fe2a32654cb297
http://arxiv.org/abs/2004.09781
http://arxiv.org/abs/2004.09781
Autor:
Pierre-Etienne Druet, Dieter Bothe
We consider a system of partial differential equations describing mass transport in a multicomponent isothermal compressible fluid. The diffusion fluxes obey the Fick–Onsager or Maxwell–Stefan closure approach. Mechanical forces result into one s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b91223fbb27f3188d9968170a41d1657
Autor:
Pierre-Etienne Druet, Dieter Bothe
In this paper, we extend our study of mass transport in multicomponent isothermal fluids to the incompressible case. For a mixture, incompressibility is defined as the independence of average volume on pressure, and a weighted sum of the partial mass
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e41decfe151bbd691bc4d92405c563b
Autor:
Pierre-Etienne Druet
Publikováno v:
Mathematical Methods in the Applied Sciences. 41:6457-6479
We investigate the regularity of the weak solution to elliptic transmission problems that involve several materials intersecting at a closed interior line of contact. We prove that local weak solutions possess second order generalized derivatives up
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11d7416f8c572f11aaaa56a75665ae77
https://doi.org/10.1002/mma.5170
https://doi.org/10.1002/mma.5170
Autor:
Pierre-Etienne Druet
Publikováno v:
Journal of Mathematical Analysis and Applications. 499:125059
We consider a system of partial differential equations describing diffusive and convective mass transport in a fluid mixture of N > 1 chemical species. A weighted sum of the partial mass densities of the chemical species is assumed to be constant, wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d278ff65e81895f4865fb28465014f3
https://doi.org/10.1016/j.jmaa.2021.125059
https://doi.org/10.1016/j.jmaa.2021.125059
Autor:
Pierre-Etienne Druet, Ansgar Jüngel
The convective transport in a multicomponent isothermal compressible fluid subject to the mass continuity equations is considered. The velocity is proportional to the negative pressure gradient, according to Darcy?s law, and the pressure is defined b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c1d91edb144a7e3f1f74e7b10d1254c