[1] Beirão da Veiga H. On the existence of strong solutions to a coupled fluid-structure evolution problem. J Math Fluid Mech, 2004, 6:21-52 [2] Breit D, Schwarzacher S. Compressible fluids interacting with a linear-elastic shell. Arch Ration Mech Anal, 2017, 228:495-562 [3] Chambolle A, Desjardins B, Esteban M J, Grandmont C. Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate. J Math Fluid Mech, 2005, 7:368-404 [4] Chueshov I. Dynamics of a nonlinear elastic plate interacting with a linearized compressible fluid. Nonlinear Anal, 2013, 95:650-665 [5] Chueshov I. Interaction of an elastic plate with a linearized inviscid incompressible fluid. Comm Pure Appl Anal, 2014, 13:1759-1778 [6] Chueshov I, Lasiecka I. Long-time Behavior of Second Order Evolution Equations with Nonlinear Damping. Memoirs of AMS, Vol 195. Providence, RI:Amer Math Soc, 2008 [7] Chueshov I, Lasiecka I. Von Karman Evolution Equations. New York:Springer, 2010 [8] Chueshov I, Kolbasin S. Long-time dynamics in plate models with strong nonlinear damping. Comm Pure Appl Anal, 2012, 11:659-674 [9] Evans L C. Partial Differential Equations. Graduate Studies in Mathematics Vol 19. 2nd ed. Providence, RI:Amer Math Soc, 2010 [10] Galdi G P. An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Vol I. Springer Tracts in Natural Philosophy, Vol 38. New York:Springer-Verlag, 1994 [11] Grandmont C. Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate. SIAM J Math Anal, 2007, 40:716-737 [12] Grandmont C, Hillairet M. Existence of global strong solutions to a beam-fluid interaction system. Arch Ration Mech Anal, 2016, 220:1283-1333 [13] Grandmont C, Hillairet M, Lequeurre J. Existence of local strong solutions to fluid-beam and fluid-rod interaction systems. Ann Inst H Poincaré Anal Non Linéaire, 2019, 36:1105-1149 [14] Hasanyan D, Hovakimyan N, Sasane A J, Stepanyan V. Analysis of nonlinear thermoelastic plate equations. Proceedings of the 43rd IEEE Conference on Decision and Control, 2004, 2:1514-1519 [15] Lequeurre J. Existence of strong solutions to a fluid-structure system. SIAM J Math Anal, 2010, 43:389-410 [16] Lequeurre J. Existence of strong solutions for a system coupling the Navier Stokes equations and a damped wave equation. J Math Fluid Mech, 2012, 15:249-271 [17] Lasiecka I, Maad S, Sasane A. Existence and exponential decay of solutions to a quasilinear thermoelastic plate system. Nonlin Diff Equ Appl, 2008, 15:689-715 [18] Lengeler D, Růžička M. Weak Solutions for an Incompressible Newtonian Fluid Interacting with a Koiter Type Shell. Arch Ration Mech Anal, 2014, 211:205-255 [19] Mitra S. Local existence of strong solutions for a fluid-structure interaction model. J Math Fluid Mech, 2020, 22:60 [20] Muha B. A note on the trace Theorem for domains which are locally subgraph of Hölder continuous function. Networks Hete Media, 2014, 9:191-196 [21] Muha B, Schwarzacher S. Existence and regularity for weak solutions for a fluid interacting with a non-linear shell in 3D. Arxiv:https://arxiv.org/abs/1906.01962 [22] Muha B, Čanić S. A generalization of the Aubin-Lions-Simon compactness lemma for problems on moving domains. J Diff Equ, 2019, 266:8370-8418 [23] Muha B, Čanić S. A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data:a constructive existence proof. Comm Inform Sys, 2013, 13:357-397 [24] Muha B, Čanić S. Existence of a solution to a fluid-multi-layered-structure interaction problem. J Diff Equ, 2014, 256:658-706 [25] Muha B, Čanić S. Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition. J Diff Equ, 2016, 260:8550-8589 [26] Muha B, Čanić S. Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls. Arch Ration Mech Anal, 2013, 207:919-968 [27] Muha B, Čanić S. Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy. Interf Free Boundaries, 2015, 17:465-495 [28] Ryzhkova I. Dynamics of a thermoelastic von Kármán plate in a subsonic gas flow. Zeitschrift für Angewandte Mathematik und Physik, 2007, 58:246-261 [29] Trifunović S, Wang Y-G. Existence of a weak solution to the fluid-structure interaction problem in 3D. J Diff Equ, 2020, 268:1495-1531 |