Triggiani, Roberto; Wan, Xiang Luenberger compensator theory for heat-Kelvin-Voigt-damped-structure interaction models with interface/boundary feedback controls. (English) Zbl 1526.93095 Open Math. 21, Article ID 20220589, 53 p. (2023). MSC: 93C20 35K05 93B52 PDFBibTeX XMLCite \textit{R. Triggiani} and \textit{X. Wan}, Open Math. 21, Article ID 20220589, 53 p. (2023; Zbl 1526.93095) Full Text: DOI
Geredeli, Pelin G. Semigroup wellposedness and asymptotic stability of a compressible Oseen-structure interaction via a pointwise resolvent criterion. (English) Zbl 1527.35278 Math. Nachr. 296, No. 3, 1135-1155 (2023). MSC: 35Q35 76N10 34A12 74F10 35B20 35B35 35B40 47D03 47A10 35A01 35A02 PDFBibTeX XMLCite \textit{P. G. Geredeli}, Math. Nachr. 296, No. 3, 1135--1155 (2023; Zbl 1527.35278) Full Text: DOI OA License
Barré, Mathieu; Grandmont, Céline; Moireau, Philippe Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials. (English) Zbl 1517.35097 Evol. Equ. Control Theory 12, No. 3, 846-906 (2023). MSC: 35G46 35A15 47D06 74F10 PDFBibTeX XMLCite \textit{M. Barré} et al., Evol. Equ. Control Theory 12, No. 3, 846--906 (2023; Zbl 1517.35097) Full Text: DOI
Mahawattege, Rasika; Triggiani, Roberto Fluid-plate interaction with Kelvin-Voigt damping and bending moment at the interface: well-posedness, spectral analysis, uniform stability. (English) Zbl 1521.74053 Alpay, Daniel (ed.) et al., Recent developments in operator theory, mathematical physics and complex analysis. Proceedings of the 32nd international workshop on operator theory and its applications, IWOTA 2021, Chapman University, Orange, CA, USA, August 9–13, 2022. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 290, 217-267 (2023). MSC: 74F10 74K20 74D05 76D07 35Q74 35Q35 PDFBibTeX XMLCite \textit{R. Mahawattege} and \textit{R. Triggiani}, Oper. Theory: Adv. Appl. 290, 217--267 (2023; Zbl 1521.74053) Full Text: DOI
Yu, Xiu-Fang; Wang, Jun-Min; Zhang, Han-Wen Internal stabilization of interconnected heat-wave equations. (English) Zbl 1505.93216 Electron. J. Differ. Equ. 2023, Paper No. 03, 26 p. (2023). MSC: 93D23 93C20 35K05 35L05 PDFBibTeX XMLCite \textit{X.-F. Yu} et al., Electron. J. Differ. Equ. 2023, Paper No. 03, 26 p. (2023; Zbl 1505.93216) Full Text: Link
Avalos, George; Geredeli, Pelin G. A resolvent criterion approach to strong decay of a multilayered Lamé-heat system. (English) Zbl 1490.35038 Appl. Anal. 101, No. 5, 1637-1650 (2022). MSC: 35B40 35G46 35Q35 47D06 74F10 76N10 PDFBibTeX XMLCite \textit{G. Avalos} and \textit{P. G. Geredeli}, Appl. Anal. 101, No. 5, 1637--1650 (2022; Zbl 1490.35038) Full Text: DOI arXiv
Bucci, Francesca Improved boundary regularity for a Stokes-Lamé system. (English) Zbl 1486.35095 Evol. Equ. Control Theory 11, No. 1, 325-346 (2022). MSC: 35B65 35Q74 35Q93 49N10 74F10 PDFBibTeX XMLCite \textit{F. Bucci}, Evol. Equ. Control Theory 11, No. 1, 325--346 (2022; Zbl 1486.35095) Full Text: DOI arXiv
Bukal, Mario; Muha, Boris Rigorous derivation of a linear sixth-order thin-film equation as a reduced model for thin fluid-thin structure interaction problems. (English) Zbl 1487.35314 Appl. Math. Optim. 84, No. 2, 2245-2288 (2021). MSC: 35Q35 35Q74 76A20 76D05 76D08 35M30 74F10 74K10 PDFBibTeX XMLCite \textit{M. Bukal} and \textit{B. Muha}, Appl. Math. Optim. 84, No. 2, 2245--2288 (2021; Zbl 1487.35314) Full Text: DOI arXiv
Margenberg, Nils; Richter, Thomas Parallel time-stepping for fluid-structure interactions. (English) Zbl 1469.76075 Math. Model. Nat. Phenom. 16, Paper No. 20, 19 p. (2021). MSC: 76M20 74S05 74F10 76D05 74B20 PDFBibTeX XMLCite \textit{N. Margenberg} and \textit{T. Richter}, Math. Model. Nat. Phenom. 16, Paper No. 20, 19 p. (2021; Zbl 1469.76075) Full Text: DOI arXiv
Geredeli, Pelin G. Bounded semigroup wellposedness for a linearized compressible flow structure PDE interaction with material derivative. (English) Zbl 1467.35257 SIAM J. Math. Anal. 53, No. 2, 1711-1744 (2021). MSC: 35Q35 76N10 74F10 35A01 35A02 PDFBibTeX XMLCite \textit{P. G. Geredeli}, SIAM J. Math. Anal. 53, No. 2, 1711--1744 (2021; Zbl 1467.35257) Full Text: DOI arXiv
Čanić, Sunčica; Galić, Marija; Muha, Boris Analysis of a 3D nonlinear, moving boundary problem describing fluid-mesh-shell interaction. (English) Zbl 1448.74031 Trans. Am. Math. Soc. 373, No. 9, 6621-6681 (2020). MSC: 74F10 74K25 74K10 76D05 74H20 35Q74 35Q30 65M06 PDFBibTeX XMLCite \textit{S. Čanić} et al., Trans. Am. Math. Soc. 373, No. 9, 6621--6681 (2020; Zbl 1448.74031) Full Text: DOI arXiv
Triggiani, Roberto Heat-viscoelastic plate interaction via bending moment and shear forces operators: analyticity, spectral analysis, exponential decay. (English) Zbl 1447.35320 Appl. Math. Optim. 82, No. 2, 755-797 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q74 47D06 47B44 49S05 74H40 74K20 74F05 74D10 PDFBibTeX XMLCite \textit{R. Triggiani}, Appl. Math. Optim. 82, No. 2, 755--797 (2020; Zbl 1447.35320) Full Text: DOI
Avalos, George; Geredeli, Pelin G.; Muha, Boris Wellposedness, spectral analysis and asymptotic stability of a multilayered heat-wave-wave system. (English) Zbl 1441.35042 J. Differ. Equations 269, No. 9, 7129-7156 (2020). MSC: 35B40 35B35 35K20 35L20 74F10 47D06 PDFBibTeX XMLCite \textit{G. Avalos} et al., J. Differ. Equations 269, No. 9, 7129--7156 (2020; Zbl 1441.35042) Full Text: DOI arXiv
Bociu, L.; Castle, L.; Lasiecka, I.; Tuffaha, A. Minimizing drag in a moving boundary fluid-elasticity interaction. (English) Zbl 1445.49002 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111837, 43 p. (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49J20 35L05 35Q30 PDFBibTeX XMLCite \textit{L. Bociu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111837, 43 p. (2020; Zbl 1445.49002) Full Text: DOI
Peralta, Gilbert; Kunisch, Karl Analysis of a nonlinear fluid-structure interaction model with mechanical dissipation and delay. (English) Zbl 1425.74163 Nonlinearity 32, No. 12, 5110-5149 (2019). MSC: 74F10 35Q30 93D20 93D15 PDFBibTeX XMLCite \textit{G. Peralta} and \textit{K. Kunisch}, Nonlinearity 32, No. 12, 5110--5149 (2019; Zbl 1425.74163) Full Text: DOI Link
Čanić, Sunčica; Galić, Marija; Ljulj, Matko; Muha, Boris; Tambača, Josip; Wang, Yifan Analysis of a linear 3D fluid-mesh-shell interaction problem. (English) Zbl 1414.74009 Z. Angew. Math. Phys. 70, No. 2, Paper No. 44, 38 p. (2019). MSC: 74F10 76D99 74K25 35D30 76M10 PDFBibTeX XMLCite \textit{S. Čanić} et al., Z. Angew. Math. Phys. 70, No. 2, Paper No. 44, 38 p. (2019; Zbl 1414.74009) Full Text: DOI
Triggiani, Roberto; Zhang, Jing Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay. (English) Zbl 1516.35093 Evol. Equ. Control Theory 7, No. 1, 153-182 (2018). MSC: 35B40 74F05 74K20 93D20 PDFBibTeX XMLCite \textit{R. Triggiani} and \textit{J. Zhang}, Evol. Equ. Control Theory 7, No. 1, 153--182 (2018; Zbl 1516.35093) Full Text: DOI
Avalos, George; Geredeli, Pelin G.; Webster, Justin T. Semigroup well-posedness of a linearized, compressible fluid with an elastic boundary. (English) Zbl 1395.74027 Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1267-1295 (2018). MSC: 74F10 35Q35 76N10 PDFBibTeX XMLCite \textit{G. Avalos} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1267--1295 (2018; Zbl 1395.74027) Full Text: DOI arXiv
Bociu, Lorena; Derochers, Steven; Toundykov, Daniel Feedback stabilization of a linear hydro-elastic system. (English) Zbl 1395.74028 Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1107-1132 (2018). MSC: 74F10 93D15 35Q74 35Q35 35R35 93B18 PDFBibTeX XMLCite \textit{L. Bociu} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1107--1132 (2018; Zbl 1395.74028) Full Text: DOI
Peralta, Gilbert; Kunisch, Karl Interface stabilization of a parabolic-hyperbolic PDE system with delay in the interaction. (English) Zbl 1397.35032 Discrete Contin. Dyn. Syst. 38, No. 6, 3055-3083 (2018). MSC: 35B40 93D20 93D15 35Q35 PDFBibTeX XMLCite \textit{G. Peralta} and \textit{K. Kunisch}, Discrete Contin. Dyn. Syst. 38, No. 6, 3055--3083 (2018; Zbl 1397.35032) Full Text: DOI
Triggiani, Roberto Domains of fractional powers of the heat-structure operator with viscoelastic damping: regularity and control-theoretic implications. (English) Zbl 1365.35094 J. Evol. Equ. 17, No. 1, 573-597 (2017). MSC: 35M13 93D20 35R11 35Q74 35Q79 74D05 47F05 47D06 PDFBibTeX XMLCite \textit{R. Triggiani}, J. Evol. Equ. 17, No. 1, 573--597 (2017; Zbl 1365.35094) Full Text: DOI
Batty, Charles; Paunonen, Lassi; Seifert, David Optimal energy decay in a one-dimensional coupled wave-heat system. (English) Zbl 1360.35122 J. Evol. Equ. 16, No. 3, 649-664 (2016). MSC: 35M33 35B40 47D06 34K30 37A25 PDFBibTeX XMLCite \textit{C. Batty} et al., J. Evol. Equ. 16, No. 3, 649--664 (2016; Zbl 1360.35122) Full Text: DOI arXiv
Chueshov, Igor; Fastovska, Tamara On interaction of circular cylindrical shells with a Poiseuille type flow. (English) Zbl 1351.74024 Evol. Equ. Control Theory 5, No. 4, 605-629 (2016). MSC: 74F10 35B41 35Q30 74K25 PDFBibTeX XMLCite \textit{I. Chueshov} and \textit{T. Fastovska}, Evol. Equ. Control Theory 5, No. 4, 605--629 (2016; Zbl 1351.74024) Full Text: DOI
Toundykov, Daniel; Avalos, George A uniform discrete inf-sup inequality for finite element hydro-elastic models. (English) Zbl 1351.76082 Evol. Equ. Control Theory 5, No. 4, 515-531 (2016). MSC: 76M10 65N12 74F10 76D07 74B05 74S05 PDFBibTeX XMLCite \textit{D. Toundykov} and \textit{G. Avalos}, Evol. Equ. Control Theory 5, No. 4, 515--531 (2016; Zbl 1351.76082) Full Text: DOI
Lasiecka, Irena; Triggiani, Roberto Heat-structure interaction with viscoelastic damping: analyticity with sharp analytic sector, exponential decay, fractional powers. (English) Zbl 1388.35131 Commun. Pure Appl. Anal. 15, No. 5, 1515-1543 (2016). MSC: 35M13 93D20 35K05 35L25 35Q74 47B44 76D07 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, Commun. Pure Appl. Anal. 15, No. 5, 1515--1543 (2016; Zbl 1388.35131) Full Text: DOI
Failer, Lukas; Meidner, Dominik; Vexler, Boris Optimal control of a linear unsteady fluid-structure interaction problem. (English) Zbl 1346.35033 J. Optim. Theory Appl. 170, No. 1, 1-27 (2016). MSC: 35B65 35M33 49K20 74F10 PDFBibTeX XMLCite \textit{L. Failer} et al., J. Optim. Theory Appl. 170, No. 1, 1--27 (2016; Zbl 1346.35033) Full Text: DOI
Peralta, Gilbert A fluid-structure interaction model with interior damping and delay in the structure. (English) Zbl 1341.74054 Z. Angew. Math. Phys. 67, No. 1, Article ID 10, 20 p. (2016). Reviewer: Vladimir Mityushev (Kraków) MSC: 74F10 76D07 93D15 93D20 PDFBibTeX XMLCite \textit{G. Peralta}, Z. Angew. Math. Phys. 67, No. 1, Article ID 10, 20 p. (2016; Zbl 1341.74054) Full Text: DOI
Chueshov, Igor; Schmalfuß, Björn Stochastic dynamics in a fluid-plate interaction model with the only longitudinal deformations of the plate. (English) Zbl 1339.37086 Discrete Contin. Dyn. Syst., Ser. B 20, No. 3, 833-852 (2015). MSC: 37L55 60H15 37L25 35R60 76D06 92C05 PDFBibTeX XMLCite \textit{I. Chueshov} and \textit{B. Schmalfuß}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 3, 833--852 (2015; Zbl 1339.37086) Full Text: DOI
Lu, Yongjin Uniform stabilization to equilibrium of a nonlinear fluid-structure interaction model. (English) Zbl 1327.35322 Nonlinear Anal., Real World Appl. 25, 51-63 (2015). MSC: 35Q35 PDFBibTeX XMLCite \textit{Y. Lu}, Nonlinear Anal., Real World Appl. 25, 51--63 (2015; Zbl 1327.35322) Full Text: DOI
Bociu, Lorena; Toundykov, Daniel; Zolésio, Jean-Paul Well-posedness analysis for a linearization of a fluid-elasticity interaction. (English) Zbl 1321.74020 SIAM J. Math. Anal. 47, No. 3, 1958-2000 (2015). MSC: 74F10 35R35 35R37 74B20 35Q30 35Q74 PDFBibTeX XMLCite \textit{L. Bociu} et al., SIAM J. Math. Anal. 47, No. 3, 1958--2000 (2015; Zbl 1321.74020) Full Text: DOI
Chueshov, I.; Ryzhkova, I. On the interaction of an elastic wall with a Poiseuille-type flow. (English) Zbl 1276.35128 Ukr. Math. J. 65, No. 1, 158-177 (2013) and Ukr. Mat. Zh. 65, No. 1, 143-160 (2013). MSC: 35Q35 35Q74 74F10 76D05 PDFBibTeX XMLCite \textit{I. Chueshov} and \textit{I. Ryzhkova}, Ukr. Math. J. 65, No. 1, 158--177 (2013; Zbl 1276.35128) Full Text: DOI arXiv
Chueshov, Igor D. A global attractor for a fluid-plate interaction model accounting only for longitudinal deformations of the plate. (English) Zbl 1230.35084 Math. Methods Appl. Sci. 34, No. 14, 1801-1812 (2011). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35Q30 74F10 35B41 76D05 PDFBibTeX XMLCite \textit{I. D. Chueshov}, Math. Methods Appl. Sci. 34, No. 14, 1801--1812 (2011; Zbl 1230.35084) Full Text: DOI arXiv
Lasiecka, Irena; Triggiani, Roberto; Zhang, Jing The fluid-structure interaction model with both control and disturbance at the interface: a game theory problem via an abstract approach. (English) Zbl 1225.35038 Appl. Anal. 90, No. 5-6, 971-1009 (2011). Reviewer: M. Marin (Brasov) MSC: 35B45 35K20 35L20 49J20 76B03 93B36 93C20 35Q93 35Q30 PDFBibTeX XMLCite \textit{I. Lasiecka} et al., Appl. Anal. 90, No. 5--6, 971--1009 (2011; Zbl 1225.35038) Full Text: DOI
Avalos, George; Triggiani, Roberto Boundary feedback stabilization of a coupled parabolic-hyperbolic Stokes-Lamé PDE system. (English) Zbl 1239.74022 J. Evol. Equ. 9, No. 2, 341-370 (2009). MSC: 74F10 35Q74 35Q35 74B05 74K10 76D07 PDFBibTeX XMLCite \textit{G. Avalos} and \textit{R. Triggiani}, J. Evol. Equ. 9, No. 2, 341--370 (2009; Zbl 1239.74022) Full Text: DOI
Avalos, George; Triggiani, Roberto Coupled parabolic-hyperbolic Stokes-Lamé PDE system: limit behaviour of the resolvent operator on the imaginary axis. (English) Zbl 1194.35052 Appl. Anal. 88, No. 9, 1357-1396 (2009). Reviewer: Milan Pokorný (Praha) MSC: 35B40 35Q35 74F10 PDFBibTeX XMLCite \textit{G. Avalos} and \textit{R. Triggiani}, Appl. Anal. 88, No. 9, 1357--1396 (2009; Zbl 1194.35052) Full Text: DOI