ReferencesI. V. Denisova, V. A. Solonnikov“Stability of the rotation of a two-phase drop with self-gravity”, Zap. Nauchn. Sem. POMI, 2021, Volume 508,Pages 89

Stability of the rotation of a two-phase drop with self-gravity
I. V. Denisova, V. A. Solonnikov



References

1.	A. M. Lyapunov, Ob ustoichivosti ellipsoidalnykh form ravnovesiya vraschayuscheisya zhidkosti, Izdanie AN, 1884
2.	A. Charrueau, “Ètude d'une masse liquide de revolution homogène, sans pesanteur et à tension superficielle, animée d'une rotation uniforme”, Annales de Ècole Normale supérieure, 1927, 129–176
3.	A. Charrueau, “Sur les figures d'équilibre relatif d'une masse liquide en rotation à tension superficielle”, Comptes rendus, 184 (1927), 1418
4.	P. Appell, Figury ravnovesiya vraschayuscheisya odnorodnoi zhidkosti, Glavnaya redaktsiya obschetekhnicheskoi literatury (sokr. ONTI), L.–M., 1936
5.	A. M. Lyapunov, Sobr. sochin., v. 3, Ob ustoichivosti ellipsoidalnykh form ravnovesiya vraschayuscheisya zhidkosti, AN SSSR, M., 1959
6.	K. V. Kholshevnikov, “O teorii Lyapunova figur ravnovesiya nebesnykh tel”, Vestnik SPbGU. Ser. 1, 2007, no. 2, 39–48
7.	V. A. Solonnikov, “Ob ustoichivosti osesimmetricheskikh figur ravnovesiya vraschayuscheisya vyazkoi neszhimaemoi zhidkosti”, Algebra i analiz, 16:2 (2004), 120–153
8.	V. A. Solonnikov, “On problem of stability of equilibrium figures of uniformly rotating viscous incompressible liquid”, Instability in models connected with fluid flows, v. II, Int. Math. Ser., 7, Springer, New York, 2008, 189–254
9.	V. A. Solonnikov, “Zadacha o nestatsionarnom dvizhenii dvukh vyazkikh neszhimaemykh zhidkostei”, Prob. mat. analiza, 34 (2006), 103–121
10.	I. V. Denisova, V. A. Solonnikov, $L_2$-theory for two incompressible fluids separated by a free interface, Preprint POMI RAN, 12/2017
11.	I. V. Denisova, V. A. Solonnikov, “$L_2$-theory for two incompressible fluids separated by a free interface”, Topol. Methods Nonlinear Anal., 52 (2018), 213–238
12.	I. V. Denisova, V. A. Solonnikov, Dvizhenie kapli v neszhimaemoi zhidkosti, “Lan”, Sankt-Peterburg, 2020
13.	M. Padula, “On the exponential stability of the rest state of a viscous compressible fluid”, J. Math. Fluid Mech., 1 (1999), 62–77
14.	I. V. Denisova, V. A. Solonnikov, “Rotation Problem for a Two-Phase Drop”, J. Math. Fluid Mech., 2022 (to appear)
15.	V. Blyashke, Elementarnaya differentsialnaya geometriya, ONTI, M.–L., 1935
16.	E. Dzhusti, Minimalnye poverkhnosti i funktsii ogranichennoi variatsii, Per. s angl., “Mir”, M., 1989
17.	V. A. Solonnikov, “Otsenka obobschennoi energii v zadache so svobodnoi granitsei dlya vyazkoi neszhimaemoi zhidkosti”, Zap. nauchn. semin. POMI, 282, 2001, 216–243
18.	M. Padula, V. A. Solonnikov, “On the local solvability of free boundary problem for the Navier–Stokes equations”, Prob. mat. analiza, 50 (2010), 87–112
19.	V. A. Solonnikov, “O lineinoi zadache, voznikayuschei pri issledovanii zadachi so svobodnoi granitsei dlya uravnenii Nave–Stoksa”, Algebra i analiz, 22:6 (2010), 235–269
20.	V. A. Solonnikov, “Razreshimost zadachi ob evolyutsii vyazkoi neszhimaemoi zhidkosti, ogranichennoi svobodnoi poverkhnostyu, na konechnom intervale vremeni”, Algebra i analiz, 3:1 (1991), 222–257
21.	I. V. Denisova, “Apriornye otsenki resheniya lineinoi nestatsionarnoi zadachi, svyazannoi s dvizheniem kapli v zhidkoi srede”, Trudy MIAN SSSR, 188, 1990, 3–21
22.	I. V. Denisova, V. A. Solonnikov, “Razreshimost linearizovannoi zadachi o dvizhenii kapli v potoke zhidkosti”, Zap. nauchn. semin. LOMI, 171, 1989, 53–65
23.	V. A. Solonnikov, “Ob odnoi nachalno-kraevoi zadache dlya sistemy Stoksa, voznikayuschie pri issledovanii zadachi so svobodnoi granitsei”, Trudy MIAN SSSR, 188, 1990, 150–188
24.	V. A. Solonnikov, “O nestatsionarnom dvizhenii izolirovannoi massy vyazkoi neszhimaemoi zhidkosti”, Izv. AN SSSR, 51:5 (1987), 1065–1087