Chen, Wenhui; Ikehata, Ryo Optimal large-time estimates and singular limits for thermoelastic plate equations with the Fourier law. (English) Zbl 07793748 Math. Methods Appl. Sci. 46, No. 14, 14841-14866 (2023). MSC: 35B40 35G40 35Q79 74F05 74K20 PDFBibTeX XMLCite \textit{W. Chen} and \textit{R. Ikehata}, Math. Methods Appl. Sci. 46, No. 14, 14841--14866 (2023; Zbl 07793748) Full Text: DOI arXiv
Chen, Wenhui; Takeda, Hiroshi Large-time asymptotic behavior for the classical thermoelastic system. (English) Zbl 07758152 J. Differ. Equations 377, 809-848 (2023). Reviewer: Ramón Quintanilla De Latorre (Barcelona) MSC: 35B40 35G40 74F05 74H55 PDFBibTeX XMLCite \textit{W. Chen} and \textit{H. Takeda}, J. Differ. Equations 377, 809--848 (2023; Zbl 07758152) Full Text: DOI arXiv
Van, Y. Nguyen; Nhan, Le Cong; Truong, Le Xuan On a thermo-viscoelastic system with variable exponent sources. (English) Zbl 1517.35052 Nonlinear Anal., Real World Appl. 71, Article ID 103807, 24 p. (2023). MSC: 35B40 35B44 35G61 74D05 74F05 PDFBibTeX XMLCite \textit{Y. N. Van} et al., Nonlinear Anal., Real World Appl. 71, Article ID 103807, 24 p. (2023; Zbl 1517.35052) Full Text: DOI
Ávalos, Gerardo Gómez; Muñoz Rivera, Jaime; Ochoa, Elena Ochoa Gevrey semigroup of the type III localized thermoelastic model. (English) Zbl 1510.74021 J. Differ. Equations 347, 282-309 (2023). Reviewer: Ramón Quintanilla De Latorre (Barcelona) MSC: 74F05 74K10 74H20 74H25 74H30 35Q74 PDFBibTeX XMLCite \textit{G. G. Ávalos} et al., J. Differ. Equations 347, 282--309 (2023; Zbl 1510.74021) Full Text: DOI
Gómez Ávalos, Gerardo; Muñoz Rivera, Jaime; Ochoa Ochoa, Elena Analiticity of the type III thermoelastic Euler Bernoulli model with tip. (English) Zbl 1499.74036 Acta Appl. Math. 182, Paper No. 9, 16 p. (2022). MSC: 74F05 74K10 PDFBibTeX XMLCite \textit{G. Gómez Ávalos} et al., Acta Appl. Math. 182, Paper No. 9, 16 p. (2022; Zbl 1499.74036) Full Text: DOI
Yang, Lin Global existence and decay estimates of solution to Cauchy problem of nonlinear thermoelasticity of type-2. (English) Zbl 1506.37096 Monatsh. Math. 199, No. 3, 671-693 (2022). MSC: 37L15 35B35 PDFBibTeX XMLCite \textit{L. Yang}, Monatsh. Math. 199, No. 3, 671--693 (2022; Zbl 1506.37096) Full Text: DOI
Ding, Hang; Zhou, Jun Global existence and blow-up for a thermoelastic system with \(p\)-Laplacian. (English) Zbl 1498.35069 Appl. Anal. 101, No. 18, 6690-6708 (2022). MSC: 35B40 35B44 35G61 74F05 93D20 PDFBibTeX XMLCite \textit{H. Ding} and \textit{J. Zhou}, Appl. Anal. 101, No. 18, 6690--6708 (2022; Zbl 1498.35069) Full Text: DOI
Liu, Yan; Shi, Jincheng Coupled plate equations with indirect damping: smoothing effect, decay properties and approximation. (English) Zbl 1478.35040 Z. Angew. Math. Phys. 73, No. 1, Paper No. 11, 15 p. (2022). MSC: 35B40 35B33 35B44 35L52 35L71 74K20 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{J. Shi}, Z. Angew. Math. Phys. 73, No. 1, Paper No. 11, 15 p. (2022; Zbl 1478.35040) Full Text: DOI
Aliyev, Akbar B.; Gadirova, Gunay R. The well-posedness of the mixed problem for one system of thermoelasticity with a singular coefficient. (English) Zbl 1485.35123 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 2, 301-308 (2021). MSC: 35G46 35A01 35A02 PDFBibTeX XMLCite \textit{A. B. Aliyev} and \textit{G. R. Gadirova}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 2, 301--308 (2021; Zbl 1485.35123) Full Text: DOI
Bazarra, N.; Fernández, J. R.; Quintanilla, R. A type III thermoelastic problem with mixtures. (English) Zbl 1457.74042 J. Comput. Appl. Math. 389, Article ID 113357, 17 p. (2021). MSC: 74F05 74H20 74H25 74S05 35Q74 80A19 PDFBibTeX XMLCite \textit{N. Bazarra} et al., J. Comput. Appl. Math. 389, Article ID 113357, 17 p. (2021; Zbl 1457.74042) Full Text: DOI
Liu, Yan; Chen, Wenhui Asymptotic profiles of solutions for regularity-loss-type generalized thermoelastic plate equations and their applications. (English) Zbl 1451.35026 Z. Angew. Math. Phys. 71, No. 2, Paper No. 55, 26 p. (2020). Reviewer: Igor Bock (Bratislava) MSC: 35B40 35Q74 74F05 74K20 35G40 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{W. Chen}, Z. Angew. Math. Phys. 71, No. 2, Paper No. 55, 26 p. (2020; Zbl 1451.35026) Full Text: DOI arXiv
Leseduarte, M. C.; Quintanilla, R. Hölder stability in type III thermoelastodynamics. (English) Zbl 1341.74045 Arch. Appl. Mech. 84, No. 9-11, 1465-1476 (2014). MSC: 74F05 35Q74 35Q79 PDFBibTeX XMLCite \textit{M. C. Leseduarte} and \textit{R. Quintanilla}, Arch. Appl. Mech. 84, No. 9--11, 1465--1476 (2014; Zbl 1341.74045) Full Text: DOI Link
Leseduarte, M. C.; Quintanilla, R. On the spatial behavior in type III thermoelastodynamics. (English) Zbl 1288.35142 Z. Angew. Math. Phys. 65, No. 1, 165-177 (2014). MSC: 35B53 74F05 74H99 35B40 PDFBibTeX XMLCite \textit{M. C. Leseduarte} and \textit{R. Quintanilla}, Z. Angew. Math. Phys. 65, No. 1, 165--177 (2014; Zbl 1288.35142) Full Text: DOI
Leseduarte, M. Carme; Quintanilla, Ramon On the backward in time problem for the thermoelasticity with two temperatures. (English) Zbl 1282.35380 Discrete Contin. Dyn. Syst., Ser. B 19, No. 3, 679-695 (2014). MSC: 35Q79 35B53 35B35 74F05 PDFBibTeX XMLCite \textit{M. C. Leseduarte} and \textit{R. Quintanilla}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 3, 679--695 (2014; Zbl 1282.35380) Full Text: DOI
Leseduarte, M. C.; Quintanilla, R. On uniqueness and continuous dependence in type III thermoelasticity. (English) Zbl 1244.74040 J. Math. Anal. Appl. 395, No. 1, 429-436 (2012). MSC: 74F05 PDFBibTeX XMLCite \textit{M. C. Leseduarte} and \textit{R. Quintanilla}, J. Math. Anal. Appl. 395, No. 1, 429--436 (2012; Zbl 1244.74040) Full Text: DOI
Zelati, Michele Coti; Pata, Vittorino; Quintanilla, Ramon Regular global attractors of type III thermoelastic extensible beams. (English) Zbl 1203.35048 Chin. Ann. Math., Ser. B 31, No. 5, 619-630 (2010). MSC: 35B41 74F05 74K10 35G61 PDFBibTeX XMLCite \textit{M. C. Zelati} et al., Chin. Ann. Math., Ser. B 31, No. 5, 619--630 (2010; Zbl 1203.35048) Full Text: DOI
Qin, Yuming; Deng, Shuxian; Huang, Lan; Ma, Zhiyong; Su, Xiaoke Global existence for the three-dimensional thermoelastic equations of type II. (English) Zbl 1208.74049 Q. Appl. Math. 68, No. 2, 333-348 (2010). Reviewer: Michael Reissig (Freiberg) MSC: 74H20 74F05 35Q74 80A20 PDFBibTeX XMLCite \textit{Y. Qin} et al., Q. Appl. Math. 68, No. 2, 333--348 (2010; Zbl 1208.74049) Full Text: DOI Link
Dreher, Michael; Wang, Ya-Guang Decay estimates for a thermoelastic system in waveguides. (English) Zbl 1195.35055 J. Differ. Equations 248, No. 9, 2368-2398 (2010). Reviewer: Igor Bock (Bratislava) MSC: 35B40 35G15 35B05 74F05 PDFBibTeX XMLCite \textit{M. Dreher} and \textit{Y.-G. Wang}, J. Differ. Equations 248, No. 9, 2368--2398 (2010; Zbl 1195.35055) Full Text: DOI
Yang, Lin; Huang, Lihong; Kuang, Fenglian \(L^p-L^q\) decay estimates of solutions to Cauchy problems of thermoviscoelastic systems. (English) Zbl 1212.35328 Appl. Math., Ser. B (Engl. Ed.) 24, No. 4, 473-482 (2009). MSC: 35M10 35B30 80A17 PDFBibTeX XMLCite \textit{L. Yang} et al., Appl. Math., Ser. B (Engl. Ed.) 24, No. 4, 473--482 (2009; Zbl 1212.35328) Full Text: DOI
Lazzari, Barbara; Nibbi, Roberta On the exponential decay in thermoelasticity without energy dissipation and of type III in the presence of an absorbing boundary. (English) Zbl 1132.74012 J. Math. Anal. Appl. 338, No. 1, 317-329 (2008). MSC: 74F05 74H40 PDFBibTeX XMLCite \textit{B. Lazzari} and \textit{R. Nibbi}, J. Math. Anal. Appl. 338, No. 1, 317--329 (2008; Zbl 1132.74012) Full Text: DOI
Quintanilla, R. On the impossibility of localization in linear thermoelasticity. (English) Zbl 1153.74013 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2088, 3311-3322 (2007). MSC: 74F05 74H40 74H25 35Q72 PDFBibTeX XMLCite \textit{R. Quintanilla}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2088, 3311--3322 (2007; Zbl 1153.74013) Full Text: DOI