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
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
Avalos, George; Geredeli, Pelin G.; Webster, Justin T. A linearized viscous, compressible flow-plate interaction with non-dissipative coupling. (English) Zbl 1451.76107 J. Math. Anal. Appl. 477, No. 1, 334-356 (2019). MSC: 76N10 74F10 74K20 PDFBibTeX XMLCite \textit{G. Avalos} et al., J. Math. Anal. Appl. 477, No. 1, 334--356 (2019; Zbl 1451.76107) Full Text: DOI arXiv
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
Avalos, George; Geredeli, Pelin G. Uniform stability for solutions of a structural acoustics PDE model with no added dissipative feedback. (English) Zbl 1357.35237 Math. Methods Appl. Sci. 39, No. 18, 5497-5512 (2016). MSC: 35M13 93D20 35Q35 PDFBibTeX XMLCite \textit{G. Avalos} and \textit{P. G. Geredeli}, Math. Methods Appl. Sci. 39, No. 18, 5497--5512 (2016; Zbl 1357.35237) 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
Avalos, George; Bucci, Francesca Exponential decay properties of a mathematical model for a certain fluid-structure interaction. (English) Zbl 1383.35027 Favini, Angelo (ed.) et al., New prospects in direct, inverse and control problems for evolution equations. Selected papers based on the presentations at the international conference “Differential equations, inverse problems and control theory, Cortona, Italy, June 16–21, 2013. Cham: Springer (ISBN 978-3-319-11405-7/hbk; 978-3-319-11406-4/ebook). Springer INdAM Series 10, 49-78 (2014). MSC: 35B40 35Q35 74F10 35G61 PDFBibTeX XMLCite \textit{G. Avalos} and \textit{F. Bucci}, Springer INdAM Ser. 10, 49--78 (2014; Zbl 1383.35027) Full Text: DOI arXiv
Avalos, George; Toundykov, Daniel Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate. (English) Zbl 1231.35253 Nonlinear Anal., Real World Appl. 12, No. 6, 2985-3013 (2011). MSC: 35Q74 74K20 35B35 35B40 93C20 93D15 PDFBibTeX XMLCite \textit{G. Avalos} and \textit{D. Toundykov}, Nonlinear Anal., Real World Appl. 12, No. 6, 2985--3013 (2011; Zbl 1231.35253) 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