On the motion of a large number of small rigid bodies in a viscous incompressible fluid
Tài liệu tham khảo
He, 2019, A small solid body with large density in a planar fluid is negligible, J. Dyn. Differ. Equ., 31, 1671, 10.1007/s10884-018-9718-3
He, 2021, On the small rigid body limit in 3D incompressible flows, J. Lond. Math. Soc. (2), 104, 668, 10.1112/jlms.12443
Bravin
Lacave, 2017, Small moving rigid body into a viscous incompressible fluid, Arch. Ration. Mech. Anal., 223, 1307, 10.1007/s00205-016-1058-z
Ervedoza, 2023, Large time behaviour for the motion of a solid in a viscous incompressible fluid, Math. Ann., 385, 631, 10.1007/s00208-021-02351-y
Dashti, 2011, The motion of a fluid-rigid disc system at the zero limit of the rigid disc radius, Arch. Ration. Mech. Anal., 200, 285, 10.1007/s00205-011-0401-7
Iftimie, 2006, Two-dimensional incompressible viscous flow around a small obstacle, Math. Ann., 336, 449, 10.1007/s00208-006-0012-z
Lacave, 2009, Two-dimensional incompressible viscous flow around a thin obstacle tending to a curve, Proc. R. Soc. Edinb., Sect. A, 139, 1237, 10.1017/S0308210508000632
Feireisl
Judakov, 1974, The solvability of the problem of the motion of a rigid body in a viscous incompressible fluid, Din. Sploš. Sredy, 249
Gunzburger, 2000, Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions, J. Math. Fluid Mech., 2, 219, 10.1007/PL00000954
Galdi, 2002, On the motion of a rigid body in a viscous liquid: a mathematical analysis with applications, 653, 10.1016/S1874-5792(02)80014-3
San Martín, 2002, Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid, Arch. Ration. Mech. Anal., 161, 113, 10.1007/s002050100172
Feireisl, 2003, On the motion of rigid bodies in a viscous incompressible fluid, J. Evol. Equ., 3, 419, 10.1007/s00028-003-0110-1
Feireisl
Bogovskiĭ, 1980, Solutions of some problems of vector analysis, associated with the operators div and grad, vol. 1, 5
Galdi, 2011, Steady-state problems
Diening, 2010, A decomposition technique for John domains, Ann. Acad. Sci. Fenn., Math., 35, 87, 10.5186/aasfm.2010.3506
Geißert, 2006, On the equation divu=g and Bogovskiĭ's operator in Sobolev spaces of negative order, vol. 168, 113