Existence of global weak solutions of inhomogeneous incompressible Navier–Stokes system with mass diffusion

Author:

Kacedan Eliott,Soga Kohei

Funder

Japan Society for the Promotion of Science

Keio Gijuku Fukuzawa Memorial Fund for the Advancement of Education and Research

Publisher

Springer Science and Business Media LLC

Reference21 articles.

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2. Antontsev, S.N., Kazhikhov, A.V., Monakhov, V.N.: Boundary Value Problems in Mechanics of Nonhomogeneous Fluids, Studies in Mathematical and Its Applications, vol. 22. North-Holland Publishing Co., Amsterdam (1990)

3. Beirão da Veiga, H.: Diffusion on viscous fluids, existence and asymptotic properties of solutions. Ann. Sc. Norm. Sup. Pisa 10, 341–355 (1983)

4. Bresch, D., Essoufi, E.H., Sy, M.: Effect of density dependent viscosities on multiphasic incompressible fluid models. J. Math. Fluid Mech. 9(3), 377–397 (2007)

5. Bresch, D., Giovangigli, V., Zatorska, E.: Two-velocity hydrodynamics in fluid mechanics: Part I. Wellposedness for zero Mach number systems. J. Math. Pures Appl. 104, 762–800 (2015)

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