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@ARTICLE{ncmm-2009-041,
    author = {Bul{\'{\i}}{\v c}ek, Miroslav and Feireisl, Eduard and M{\'{a}}lek, Josef and Shvydkoy, Roman},
  keywords = {inhomogeneous Euler fluid, Korteweg fluid, Korteweg stress, local-in-time well-posedness, smooth solution},
     title = {On the motion of incompressible inhomogeneous Euler-Korteweg fluids},
   journal = {Discrete and Continuous Dynamical Systems - Series S},
    volume = {3},
    number = {3},
      year = {2010},
     pages = {497-515},
      note = {NCMM Preprint no. 2009-041},
       url = {http://www.karlin.mff.cuni.cz/ncmm/preprints/09329203040pr41.pdf},
       doi = {10.3934/dcdss.2010.3.497},
  abstract = {We study a system of equations governing evolution of incompressible inhomogeneous Euler-Korteweg fluids that describe a class of incompressible elastic materials. A local well-posedness theory is developed on a bounded smooth domain with no-slip boundary condition on velocity and vanishing gradient of density. The cases of open space and periodic box are also considered, where the local existence and uniqueness of solutions is shown in Sobolev spaces up to the critical smoothness .}
}