Nikolić, Vanja Nonlinear acoustic equations of fractional higher order at the singular limit. (English) Zbl 07819590 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 3, Paper No. 30, 33 p. (2024). MSC: 35L75 35B25 PDFBibTeX XMLCite \textit{V. Nikolić}, NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 3, Paper No. 30, 33 p. (2024; Zbl 07819590) Full Text: DOI arXiv OA License
Belluzi, Maykel; Bezerra, Flank D. M.; Nascimento, Marcelo J. D.; Santos, Lucas A. A higher-order non-autonomous semilinear parabolic equation. (English) Zbl 07793271 Bull. Braz. Math. Soc. (N.S.) 55, No. 1, Paper No. 7, 17 p. (2024). MSC: 35K90 35K52 35K58 35R11 47A08 PDFBibTeX XMLCite \textit{M. Belluzi} et al., Bull. Braz. Math. Soc. (N.S.) 55, No. 1, Paper No. 7, 17 p. (2024; Zbl 07793271) Full Text: DOI
Engström, Christian; Torshage, Axel Spectral properties of a class of operator functions with applications to the Moore-Gibson-Thompson equation with memory. (English) Zbl 07787739 J. Math. Anal. Appl. 532, No. 2, Article ID 127978, 19 p. (2024). MSC: 47Axx 35Pxx 35Qxx PDFBibTeX XMLCite \textit{C. Engström} and \textit{A. Torshage}, J. Math. Anal. Appl. 532, No. 2, Article ID 127978, 19 p. (2024; Zbl 07787739) Full Text: DOI
Bazarra, N.; Fernández, J. R.; Liverani, L.; Quintanilla, R. Analysis of a thermoelastic problem with the Moore-Gibson-Thompson microtemperatures. (English) Zbl 1526.35051 J. Comput. Appl. Math. 438, Article ID 115571, 20 p. (2024). MSC: 35B40 35G61 65M60 74F05 PDFBibTeX XMLCite \textit{N. Bazarra} et al., J. Comput. Appl. Math. 438, Article ID 115571, 20 p. (2024; Zbl 1526.35051) Full Text: DOI
Alaeddine, Draifia Global existence and general decay of Moore-Gibson-Thompson equation with not necessarily decreasing kernel. (English) Zbl 07805596 Bol. Soc. Parana. Mat. (3) 41, Paper No. 37, 15 p. (2023). MSC: 35L35 35A07 35D05 35G05 PDFBibTeX XMLCite \textit{D. Alaeddine}, Bol. Soc. Parana. Mat. (3) 41, Paper No. 37, 15 p. (2023; Zbl 07805596) Full Text: DOI
Tu, Zhiyu; Liu, Wenjun Well-posedness and exponential decay for the Moore-Gibson-Thompson equation with time-dependent memory kernel. (English) Zbl 07783868 Math. Methods Appl. Sci. 46, No. 9, 10465-10479 (2023). MSC: 35B40 35G25 47D06 74D99 PDFBibTeX XMLCite \textit{Z. Tu} and \textit{W. Liu}, Math. Methods Appl. Sci. 46, No. 9, 10465--10479 (2023; Zbl 07783868) Full Text: DOI
Murillo-Arcila, Marina Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Hölder-continuous functions. (English) Zbl 07781282 Math. Methods Appl. Sci. 46, No. 2, 1928-1937 (2023). MSC: 35A01 35A02 35B65 42A45 47D06 PDFBibTeX XMLCite \textit{M. Murillo-Arcila}, Math. Methods Appl. Sci. 46, No. 2, 1928--1937 (2023; Zbl 07781282) Full Text: DOI OA License
Dell’Oro, Filippo; Pata, Vittorino A hierarchy of heat conduction laws. (English) Zbl 07765954 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2636-2648 (2023). Reviewer: Giovanni Mascali (Arcavacata di Rende) MSC: 35Q79 80A10 80A17 35K05 74A15 PDFBibTeX XMLCite \textit{F. Dell'Oro} and \textit{V. Pata}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2636--2648 (2023; Zbl 07765954) Full Text: DOI arXiv
Tiwari, Rakhi Mathematical modelling of laser-instigated magneto-thermo-mechanical interactions inside half-space. (English) Zbl 07761685 J. Eng. Math. 142, Paper No. 10, 26 p. (2023). MSC: 74F05 74F15 80A17 PDFBibTeX XMLCite \textit{R. Tiwari}, J. Eng. Math. 142, Paper No. 10, 26 p. (2023; Zbl 07761685) Full Text: DOI
Boulaaras, Salah; Choucha, Abdelbaki; Ouchenane, Djamel; Abdalla, Mohamed; Muñoz Vazquez, Aldo Jonathan Solvability of the Moore-Gibson-Thompson equation with viscoelastic memory type II and integral condition. (English) Zbl 1518.35236 Discrete Contin. Dyn. Syst., Ser. S 16, No. 6, 1216-1241 (2023). MSC: 35G16 35A01 35A02 35R09 PDFBibTeX XMLCite \textit{S. Boulaaras} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 6, 1216--1241 (2023; Zbl 1518.35236) Full Text: DOI
Lizama, Carlos; Zamorano, Sebastián Boundary controllability for the 1D Moore-Gibson-Thompson equation. (English) Zbl 1526.76042 Meccanica 58, No. 6, 1031-1038 (2023). MSC: 76N25 76Q05 93C20 35Q35 PDFBibTeX XMLCite \textit{C. Lizama} and \textit{S. Zamorano}, Meccanica 58, No. 6, 1031--1038 (2023; Zbl 1526.76042) Full Text: DOI
Pellicer, Marta; Quintanilla, Ramon Continuous dependence and convergence for Moore-Gibson-Thompson heat equation. (English) Zbl 1518.35050 Acta Mech. 234, No. 8, 3241-3257 (2023). MSC: 35B30 35L30 35Q79 PDFBibTeX XMLCite \textit{M. Pellicer} and \textit{R. Quintanilla}, Acta Mech. 234, No. 8, 3241--3257 (2023; Zbl 1518.35050) Full Text: DOI
Chen, Wenhui; Takeda, Hiroshi Asymptotic behaviors for the Jordan-Moore-Gibson-Thompson equation in the viscous case. (English) Zbl 1518.35081 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 234, Article ID 113316, 36 p. (2023). MSC: 35B40 35L30 35L76 PDFBibTeX XMLCite \textit{W. Chen} and \textit{H. Takeda}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 234, Article ID 113316, 36 p. (2023; Zbl 1518.35081) Full Text: DOI arXiv
Chentouf, Boumediène; Han, Zhong-Jie On the elimination of infinite memory effects on the stability of a nonlinear non-homogeneous rotating body-beam system. (English) Zbl 1516.35058 J. Dyn. Differ. Equations 35, No. 2, 1719-1743 (2023). MSC: 35B35 35B40 35L35 74D05 93D05 93D15 PDFBibTeX XMLCite \textit{B. Chentouf} and \textit{Z.-J. Han}, J. Dyn. Differ. Equations 35, No. 2, 1719--1743 (2023; Zbl 1516.35058) Full Text: DOI
Wang, Danhua; Liu, Wenjun; Racke, Reinhard Decay properties for the Cauchy problem of the linear JMGT-viscoelastic plate with heat conduction. (English) Zbl 1512.35094 J. Math. Anal. Appl. 525, No. 1, Article ID 127232, 25 p. (2023). MSC: 35B40 35G40 PDFBibTeX XMLCite \textit{D. Wang} et al., J. Math. Anal. Appl. 525, No. 1, Article ID 127232, 25 p. (2023; Zbl 1512.35094) Full Text: DOI
Afilal, M.; Apalara, T. A.; Soufyane, A.; Radid, A. On the decay of MGT-viscoelastic plate with heat conduction of Cattaneo type in bounded and unbounded domains. (English) Zbl 1512.35064 Commun. Pure Appl. Anal. 22, No. 1, 212-227 (2023). MSC: 35B40 35Q74 74K20 93D15 93D20 PDFBibTeX XMLCite \textit{M. Afilal} et al., Commun. Pure Appl. Anal. 22, No. 1, 212--227 (2023; Zbl 1512.35064) Full Text: DOI
Chen, Wenhui; Liu, Yan Asymptotic profiles and singular limits for the viscoelastic damped wave equation with memory of type I. (English) Zbl 1511.35031 J. Math. Phys. 64, No. 2, Article ID 021504, 22 p. (2023). MSC: 35B40 35R09 35L15 35Q35 35B35 PDFBibTeX XMLCite \textit{W. Chen} and \textit{Y. Liu}, J. Math. Phys. 64, No. 2, Article ID 021504, 22 p. (2023; Zbl 1511.35031) Full Text: DOI arXiv
Wang, Danhua; Liu, Wenjun; Chen, Kewang Well-posedness and decay property for the Cauchy problem of the standard linear solid model with thermoelasticity of type III. (English) Zbl 1510.35060 Z. Angew. Math. Phys. 74, No. 2, Paper No. 70, 16 p. (2023). MSC: 35B40 35G40 35L55 74D05 74F05 93D20 PDFBibTeX XMLCite \textit{D. Wang} et al., Z. Angew. Math. Phys. 74, No. 2, Paper No. 70, 16 p. (2023; Zbl 1510.35060) Full Text: DOI
Abouelregal, Ahmed E. Fractional derivative Moore-Gibson-Thompson heat equation without singular kernel for a thermoelastic medium with a cylindrical hole and variable properties. (English) Zbl 07815146 ZAMM, Z. Angew. Math. Mech. 102, No. 1, Article ID e202000327, 19 p. (2022). MSC: 74Fxx 35Bxx 26Axx PDFBibTeX XMLCite \textit{A. E. Abouelregal}, ZAMM, Z. Angew. Math. Mech. 102, No. 1, Article ID e202000327, 19 p. (2022; Zbl 07815146) Full Text: DOI
Braik, Abdelkader; Beniani, Abderrahmane; Zennir, Khaled Well-posedness and general decay for Moore-Gibson-Thompson equation in viscoelasticity with delay term. (English) Zbl 1528.35011 Ric. Mat. 71, No. 2, 689-710 (2022). MSC: 35B40 35G40 35R09 45D05 PDFBibTeX XMLCite \textit{A. Braik} et al., Ric. Mat. 71, No. 2, 689--710 (2022; Zbl 1528.35011) Full Text: DOI
Lizama, Carlos; Warma, Mahamadi; Zamorano, Sebastián Exterior controllability properties for a fractional Moore-Gibson-Thompson equation. (English) Zbl 1503.35269 Fract. Calc. Appl. Anal. 25, No. 3, 887-923 (2022). MSC: 35R11 35Q93 93B05 26A33 PDFBibTeX XMLCite \textit{C. Lizama} et al., Fract. Calc. Appl. Anal. 25, No. 3, 887--923 (2022; Zbl 1503.35269) Full Text: DOI
Baldonedo, J.; Fernández, J. R.; Quintanilla, R. On the fully discrete approximations of the MGT two-temperatures thermoelastic problem. (English) Zbl 1504.74013 Arch. Mech. 74, No. 5, 391-407 (2022). MSC: 74F05 74H20 74H25 74S05 74S20 35Q74 65M15 PDFBibTeX XMLCite \textit{J. Baldonedo} et al., Arch. Mech. 74, No. 5, 391--407 (2022; Zbl 1504.74013) Full Text: DOI
Zhang, Hui On the well-posedness and general decay results of Moore-Gibson-Thompson equation with memory. (English) Zbl 1501.35078 Z. Angew. Math. Phys. 73, No. 6, Paper No. 232, 18 p. (2022). MSC: 35B40 35G25 74D05 93D20 PDFBibTeX XMLCite \textit{H. Zhang}, Z. Angew. Math. Phys. 73, No. 6, Paper No. 232, 18 p. (2022; Zbl 1501.35078) Full Text: DOI
Bongarti, Marcelo; Lasiecka, Irena Boundary feedback stabilization of a critical nonlinear JMGT equation with Neumann-undissipated part of the boundary. (English) Zbl 1500.35032 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 1957-1985 (2022). MSC: 35B40 35L35 35L76 93D15 PDFBibTeX XMLCite \textit{M. Bongarti} and \textit{I. Lasiecka}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 1957--1985 (2022; Zbl 1500.35032) Full Text: DOI arXiv
Baldonedo, Jacobo; Fernández, José R.; Quintanilla, Ramón On the time decay for the MGT-type porosity problems. (English) Zbl 1525.74050 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 1941-1955 (2022). MSC: 74F10 74H20 74H40 74S05 35Q74 PDFBibTeX XMLCite \textit{J. Baldonedo} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 1941--1955 (2022; Zbl 1525.74050) Full Text: DOI
Liu, Wen Jun; Tu, Zhi Yu; Wang, Dan Hua Decay of solution for the MGT equations with degenerate memory arising in high frequency ultrasound. (Chinese. English summary) Zbl 1513.35057 Acta Math. Sin., Chin. Ser. 65, No. 2, 205-220 (2022). MSC: 35B35 35B40 35G16 PDFBibTeX XMLCite \textit{W. J. Liu} et al., Acta Math. Sin., Chin. Ser. 65, No. 2, 205--220 (2022; Zbl 1513.35057) Full Text: Link
Miranville, Alain; Quintanilla, Ramón Parabolic phase-lag heat conduction theories revisited. (English) Zbl 1494.80004 Appl. Math. Lett. 133, Article ID 108264, 6 p. (2022). MSC: 80A19 35K05 35Q79 PDFBibTeX XMLCite \textit{A. Miranville} and \textit{R. Quintanilla}, Appl. Math. Lett. 133, Article ID 108264, 6 p. (2022; Zbl 1494.80004) Full Text: DOI
Kaltenbacher, Barbara; Nikolić, Vanja Time-fractional Moore-Gibson-Thompson equations. (English) Zbl 1491.35433 Math. Models Methods Appl. Sci. 32, No. 5, 965-1013 (2022). MSC: 35R11 35L72 76Q05 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{V. Nikolić}, Math. Models Methods Appl. Sci. 32, No. 5, 965--1013 (2022; Zbl 1491.35433) Full Text: DOI arXiv
Hassan, Jamilu Hashim; Messaoudi, Salim A. General decay rate for an abstract weakly dissipative Moore-Gibson-Thompson equation. (English) Zbl 1491.35039 J. Integral Equations Appl. 34, No. 1, 75-91 (2022). MSC: 35B40 35L90 35R09 34G10 45K05 PDFBibTeX XMLCite \textit{J. H. Hassan} and \textit{S. A. Messaoudi}, J. Integral Equations Appl. 34, No. 1, 75--91 (2022; Zbl 1491.35039) Full Text: DOI
Bongarti, Marcelo; Lasiecka, Irena; Rodrigues, José H. Boundary stabilization of the linear MGT equation with partially absorbing boundary data and degenerate viscoelasticity. (English) Zbl 1491.35287 Discrete Contin. Dyn. Syst., Ser. S 15, No. 6, 1355-1376 (2022). MSC: 35L35 35L76 93D15 PDFBibTeX XMLCite \textit{M. Bongarti} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 6, 1355--1376 (2022; Zbl 1491.35287) Full Text: DOI arXiv
Lasiecka, Irena; Triggiani, Roberto Optimal feedback arising in a third-order dynamics with boundary controls and infinite horizon. (English) Zbl 1492.49035 J. Optim. Theory Appl. 193, No. 1-3, 831-855 (2022). MSC: 49N35 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, J. Optim. Theory Appl. 193, No. 1--3, 831--855 (2022; Zbl 1492.49035) Full Text: DOI
Liu, Yan; Qin, Xulong; Zhang, Shuanghu Global existence and estimates for Blackstock’s model of thermoviscous flow with second sound phenomena. (English) Zbl 1506.35169 J. Differ. Equations 324, 76-101 (2022). MSC: 35Q35 35Q79 76N30 76N10 76N15 76Q05 35G25 35G10 35B25 35B40 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Differ. Equations 324, 76--101 (2022; Zbl 1506.35169) Full Text: DOI
Said-Houari, Belkacem Global existence for the Jordan-Moore-Gibson-Thompson equation in Besov spaces. (English) Zbl 1487.35253 J. Evol. Equ. 22, No. 2, Paper No. 32, 40 p. (2022). MSC: 35L75 35L30 35B40 35G25 PDFBibTeX XMLCite \textit{B. Said-Houari}, J. Evol. Equ. 22, No. 2, Paper No. 32, 40 p. (2022; Zbl 1487.35253) Full Text: DOI arXiv
Pellicer, Marta; Said-Houari, Belkacem On the Cauchy problem of the standard linear solid model with Cattaneo heat conduction. (English) Zbl 1510.35333 Asymptotic Anal. 126, No. 1-2, 95-127 (2022). MSC: 35Q74 35Q79 35K05 74D05 74F05 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{M. Pellicer} and \textit{B. Said-Houari}, Asymptotic Anal. 126, No. 1--2, 95--127 (2022; Zbl 1510.35333) Full Text: DOI
Bounadja, Hizia; Khader, Maisa Optimal decay rate for the Cauchy problem of the standard linear solid model with Gurtin-Pipkin thermal law. (English) Zbl 1483.35025 J. Math. Anal. Appl. 509, No. 2, Article ID 125844, 22 p. (2022). MSC: 35B40 35G55 74F05 PDFBibTeX XMLCite \textit{H. Bounadja} and \textit{M. Khader}, J. Math. Anal. Appl. 509, No. 2, Article ID 125844, 22 p. (2022; Zbl 1483.35025) Full Text: DOI
Florea, Olivia A.; Bobe, Alexandru Moore-Gibson-Thompson thermoelasticity in the context of double porous materials. (English) Zbl 1521.74043 Contin. Mech. Thermodyn. 33, No. 5, 2243-2252 (2021). MSC: 74F05 74F10 PDFBibTeX XMLCite \textit{O. A. Florea} and \textit{A. Bobe}, Contin. Mech. Thermodyn. 33, No. 5, 2243--2252 (2021; Zbl 1521.74043) Full Text: DOI
Bazarra, Noelia; Fernández, José R.; Quintanilla, Ramón On the decay of the energy for radial solutions in Moore-Gibson-Thompson thermoelasticity. (English) Zbl 07589901 Math. Mech. Solids 26, No. 10, 1507-1514 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{N. Bazarra} et al., Math. Mech. Solids 26, No. 10, 1507--1514 (2021; Zbl 07589901) Full Text: DOI
Braik, Abdelkader; Beniani, Abderrahmane; Zennir, Khaled Well-posedness and stability for a Moore-Gibson-Thompson equation with internal distributed delay. (English) Zbl 1485.45012 Discontin. Nonlinearity Complex. 10, No. 4, 693-703 (2021). MSC: 45K05 45M10 PDFBibTeX XMLCite \textit{A. Braik} et al., Discontin. Nonlinearity Complex. 10, No. 4, 693--703 (2021; Zbl 1485.45012) Full Text: DOI
Nicaise, Serge; Bounadja, Hizia Well-posedness and long time behavior for a general class of Moore-Gibson-Thompson equations with a memory. (English) Zbl 1484.35061 Port. Math. (N.S.) 78, No. 3-4, 391-422 (2021). MSC: 35B40 35G16 35R09 74D05 93D15 93D20 PDFBibTeX XMLCite \textit{S. Nicaise} and \textit{H. Bounadja}, Port. Math. (N.S.) 78, No. 3--4, 391--422 (2021; Zbl 1484.35061) Full Text: DOI
Chen, Wenhui; Palmieri, Alessandro A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case. (English) Zbl 1481.35081 Evol. Equ. Control Theory 10, No. 4, 673-687 (2021). MSC: 35B44 35L30 35L76 35B33 PDFBibTeX XMLCite \textit{W. Chen} and \textit{A. Palmieri}, Evol. Equ. Control Theory 10, No. 4, 673--687 (2021; Zbl 1481.35081) Full Text: DOI arXiv
Bongarti, Marcelo; Charoenphon, Sutthirut; Lasiecka, Irena Vanishing relaxation time dynamics of the Jordan Moore-Gibson-Thompson equation arising in nonlinear acoustics. (English) Zbl 1480.35028 J. Evol. Equ. 21, No. 3, 3553-3584 (2021). MSC: 35B40 35G31 35Q35 76Q05 PDFBibTeX XMLCite \textit{M. Bongarti} et al., J. Evol. Equ. 21, No. 3, 3553--3584 (2021; Zbl 1480.35028) Full Text: DOI arXiv
Singh, Robin Vikram; Mukhopadhyay, Santwana Study of wave propagation in an infinite solid due to a line heat source under Moore-Gibson-Thompson thermoelasticity. (English) Zbl 1479.80007 Acta Mech. 232, No. 12, 4747-4760 (2021). MSC: 80A19 44A10 74F05 74A15 74B10 74J05 74J30 35Q79 PDFBibTeX XMLCite \textit{R. V. Singh} and \textit{S. Mukhopadhyay}, Acta Mech. 232, No. 12, 4747--4760 (2021; Zbl 1479.80007) Full Text: DOI
Nikolić, Vanja; Said-Houari, Belkacem Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation. (English) Zbl 1478.35041 Nonlinear Anal., Real World Appl. 62, Article ID 103384, 38 p. (2021). MSC: 35B40 35L30 35L76 35Q35 35R09 74D05 76Q05 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Said-Houari}, Nonlinear Anal., Real World Appl. 62, Article ID 103384, 38 p. (2021; Zbl 1478.35041) Full Text: DOI arXiv
Ostoja-Starzewski, M.; Quintanilla, R. Spatial behaviour of solutions of the Moore-Gibson-Thompson equation. (English) Zbl 1493.76088 J. Math. Fluid Mech. 23, No. 4, Paper No. 105, 10 p. (2021). MSC: 76Q05 35Q35 74F05 74B99 35Q74 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski} and \textit{R. Quintanilla}, J. Math. Fluid Mech. 23, No. 4, Paper No. 105, 10 p. (2021; Zbl 1493.76088) Full Text: DOI
Bounadja, Hizia; Messaoudi, Salim A general stability result for a viscoelastic Moore-Gibson-Thompson equation in the whole space. (English) Zbl 1476.35037 Appl. Math. Optim. 84, Suppl. 1, S509-S521 (2021). MSC: 35B40 35L30 35R09 74D05 93D15 93D20 PDFBibTeX XMLCite \textit{H. Bounadja} and \textit{S. Messaoudi}, Appl. Math. Optim. 84, S509--S521 (2021; Zbl 1476.35037) Full Text: DOI
Racke, Reinhard; Said-Houari, Belkacem Global well-posedness of the Cauchy problem for the 3D Jordan-Moore-Gibson-Thompson equation. (English) Zbl 1476.35052 Commun. Contemp. Math. 23, No. 7, Article ID 2050069, 39 p. (2021). MSC: 35B40 35G25 74D05 93D15 93D20 PDFBibTeX XMLCite \textit{R. Racke} and \textit{B. Said-Houari}, Commun. Contemp. Math. 23, No. 7, Article ID 2050069, 39 p. (2021; Zbl 1476.35052) Full Text: DOI
Conti, Monica; Liverani, Lorenzo; Pata, Vittorino The MGT-Fourier model in the supercritical case. (English) Zbl 1473.35043 J. Differ. Equations 301, 543-567 (2021). MSC: 35B40 35G46 47D06 74F05 PDFBibTeX XMLCite \textit{M. Conti} et al., J. Differ. Equations 301, 543--567 (2021; Zbl 1473.35043) Full Text: DOI arXiv
Bucci, Francesca; Eller, Matthias The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation. (English. French summary) Zbl 1473.35084 C. R., Math., Acad. Sci. Paris 359, No. 7, 881-903 (2021). MSC: 35B65 35L35 35L50 35R09 47D06 PDFBibTeX XMLCite \textit{F. Bucci} and \textit{M. Eller}, C. R., Math., Acad. Sci. Paris 359, No. 7, 881--903 (2021; Zbl 1473.35084) Full Text: DOI arXiv
Bounadja, Hizia; Houari, Belkacem Said Decay rates for the Moore-Gibson-Thompson equation with memory. (English) Zbl 1473.35367 Evol. Equ. Control Theory 10, No. 3, 431-460 (2021). MSC: 35L80 35B40 74D05 49K20 93D30 93D20 PDFBibTeX XMLCite \textit{H. Bounadja} and \textit{B. S. Houari}, Evol. Equ. Control Theory 10, No. 3, 431--460 (2021; Zbl 1473.35367) Full Text: DOI
Lacheheb, Ilyes; Messaoudi, Salim A. General decay of the Cauchy problem for a Moore-Gibson-Thompson equation with memory. (English) Zbl 1473.35047 Mediterr. J. Math. 18, No. 4, Paper No. 171, 21 p. (2021). MSC: 35B40 35L30 35R09 45K05 PDFBibTeX XMLCite \textit{I. Lacheheb} and \textit{S. A. Messaoudi}, Mediterr. J. Math. 18, No. 4, Paper No. 171, 21 p. (2021; Zbl 1473.35047) Full Text: DOI
Kaltenbacher, Barbara; Nikolić, Vanja The inviscid limit of third-order linear and nonlinear acoustic equations. (English) Zbl 1475.35282 SIAM J. Appl. Math. 81, No. 4, 1461-1482 (2021). Reviewer: Roberta Bianchini (Roma) MSC: 35Q35 35L05 35L72 76Q05 76N15 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{V. Nikolić}, SIAM J. Appl. Math. 81, No. 4, 1461--1482 (2021; Zbl 1475.35282) Full Text: DOI arXiv
Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla, Ramon A new approach to MGT-thermoviscoelasticity. (English) Zbl 1479.35855 Discrete Contin. Dyn. Syst. 41, No. 10, 4645-4666 (2021). Reviewer: Yixian Gao (Changchun) MSC: 35Q74 35B40 35B35 74F05 74D05 PDFBibTeX XMLCite \textit{M. Conti} et al., Discrete Contin. Dyn. Syst. 41, No. 10, 4645--4666 (2021; Zbl 1479.35855) Full Text: DOI
Wang, Danhua; Liu, Wenjun Well-posedness and decay property of regularity-loss type for the Cauchy problem of the standard linear solid model with Gurtin-Pipkin thermal law. (English) Zbl 1473.35557 Asymptotic Anal. 123, No. 1-2, 181-201 (2021). MSC: 35Q74 74F05 74H45 74B10 80A19 35A01 35A02 PDFBibTeX XMLCite \textit{D. Wang} and \textit{W. Liu}, Asymptotic Anal. 123, No. 1--2, 181--201 (2021; Zbl 1473.35557) Full Text: DOI
Chen, Wenhui; Ikehata, Ryo The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case. (English) Zbl 1466.35259 J. Differ. Equations 292, 176-219 (2021). MSC: 35L30 35L76 35B40 34K26 35A01 35B44 PDFBibTeX XMLCite \textit{W. Chen} and \textit{R. Ikehata}, J. Differ. Equations 292, 176--219 (2021; Zbl 1466.35259) Full Text: DOI arXiv
Pellicer, Marta; Said-Houari, Belkacem On the Cauchy problem of the standard linear solid model with Fourier heat conduction. (English) Zbl 1464.35037 Z. Angew. Math. Phys. 72, No. 3, Paper No. 115, 23 p. (2021). MSC: 35B40 35G40 93D15 93D20 PDFBibTeX XMLCite \textit{M. Pellicer} and \textit{B. Said-Houari}, Z. Angew. Math. Phys. 72, No. 3, Paper No. 115, 23 p. (2021; Zbl 1464.35037) Full Text: DOI arXiv
Zhang, Hui On long-time behavior of Moore-Gibson-Thompson equation with localized and degenerate memory effect. (English) Zbl 1464.35039 Z. Angew. Math. Phys. 72, No. 2, Paper No. 76, 23 p. (2021). MSC: 35B40 35G16 35R09 45D05 PDFBibTeX XMLCite \textit{H. Zhang}, Z. Angew. Math. Phys. 72, No. 2, Paper No. 76, 23 p. (2021; Zbl 1464.35039) Full Text: DOI
Nikolić, Vanja; Said-Houari, Belkacem On the Jordan-Moore-Gibson-Thompson wave equation in hereditary fluids with quadratic gradient nonlinearity. (English) Zbl 1458.35347 J. Math. Fluid Mech. 23, No. 1, Paper No. 3, 24 p. (2021). MSC: 35Q35 35L75 35G25 76Q05 76H05 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Said-Houari}, J. Math. Fluid Mech. 23, No. 1, Paper No. 3, 24 p. (2021; Zbl 1458.35347) Full Text: DOI arXiv
Nikolić, Vanja; Said-Houari, Belkacem Mathematical analysis of memory effects and thermal relaxation in nonlinear sound waves on unbounded domains. (English) Zbl 1455.35279 J. Differ. Equations 273, 172-218 (2021). MSC: 35R09 35L75 35G25 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Said-Houari}, J. Differ. Equations 273, 172--218 (2021; Zbl 1455.35279) Full Text: DOI arXiv
Bazarra, N.; Fernández, Jose R.; Quintanilla, Ramon Analysis of a Moore-Gibson-Thompson thermoelastic problem. (English) Zbl 1447.35314 J. Comput. Appl. Math. 382, Article ID 113058, 15 p. (2021). MSC: 35Q74 74B10 80A19 35B45 74S05 65M06 65N30 PDFBibTeX XMLCite \textit{N. Bazarra} et al., J. Comput. Appl. Math. 382, Article ID 113058, 15 p. (2021; Zbl 1447.35314) Full Text: DOI
Marin, Marin; Öchsner, Andreas; Bhatti, Muhammad Mubashir Some results in Moore-Gibson-Thompson thermoelasticity of dipolar bodies. (English) Zbl 07812958 ZAMM, Z. Angew. Math. Mech. 100, No. 12, Article ID e202000090, 13 p. (2020). MSC: 74Fxx 35Bxx 74Axx PDFBibTeX XMLCite \textit{M. Marin} et al., ZAMM, Z. Angew. Math. Mech. 100, No. 12, Article ID e202000090, 13 p. (2020; Zbl 07812958) Full Text: DOI
Al-Khulaifi, Waled; Boumenir, Amin Reconstructing the Moore-Gibson-Thompson equation. (English) Zbl 1462.35456 Nonauton. Dyn. Syst. 7, 219-223 (2020). MSC: 35R30 35Q70 35L35 PDFBibTeX XMLCite \textit{W. Al-Khulaifi} and \textit{A. Boumenir}, Nonauton. Dyn. Syst. 7, 219--223 (2020; Zbl 1462.35456) Full Text: DOI
Dell’Oro, Filippo; Lasiecka, Irena; Pata, Vittorino A note on the Moore-Gibson-Thompson equation with memory of type II. (English) Zbl 1462.35059 J. Evol. Equ. 20, No. 4, 1251-1268 (2020). MSC: 35B35 35G05 35R09 45D05 PDFBibTeX XMLCite \textit{F. Dell'Oro} et al., J. Evol. Equ. 20, No. 4, 1251--1268 (2020; Zbl 1462.35059) Full Text: DOI
Conti, Monica; Pata, Vittorino; Quintanilla, Ramon Thermoelasticity of Moore-Gibson-Thompson type with history dependence in the temperature. (English) Zbl 1458.35405 Asymptotic Anal. 120, No. 1-2, 1-21 (2020). MSC: 35Q74 35Q79 74A15 74B20 74D10 80A19 35A01 35A02 PDFBibTeX XMLCite \textit{M. Conti} et al., Asymptotic Anal. 120, No. 1--2, 1--21 (2020; Zbl 1458.35405) Full Text: DOI
Liu, Wenjun; Chen, Zhijing; Chen, Dongqin New general decay results for a Moore-Gibson-Thompson equation with memory. (English) Zbl 1450.35065 Appl. Anal. 99, No. 15, 2622-2640 (2020). MSC: 35B40 35G10 35R09 35Q70 45D05 PDFBibTeX XMLCite \textit{W. Liu} et al., Appl. Anal. 99, No. 15, 2622--2640 (2020; Zbl 1450.35065) Full Text: DOI
Liu, Wenjun; Chen, Zhijing; Tu, Zhiyu New general decay result for a fourth-order Moore-Gibson-Thompson equation with memory. (English) Zbl 1447.35062 Electron. Res. Arch. 28, No. 1, 433-457 (2020). MSC: 35B40 35L90 35L30 45D05 PDFBibTeX XMLCite \textit{W. Liu} et al., Electron. Res. Arch. 28, No. 1, 433--457 (2020; Zbl 1447.35062) Full Text: DOI
Bongarti, Marcelo; Charoenphon, Sutthirut; Lasiecka, Irena Singular thermal relaxation limit for the Moore-Gibson-Thompson equation arising in propagation of acoustic waves. (English) Zbl 1494.76076 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 147-182 (2020). MSC: 76Q05 35B40 47D03 35Q35 PDFBibTeX XMLCite \textit{M. Bongarti} et al., Springer Proc. Math. Stat. 325, 147--182 (2020; Zbl 1494.76076) Full Text: DOI arXiv
Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla, Ramon On the analyticity of the MGT-viscoelastic plate with heat conduction. (English) Zbl 1442.35073 J. Differ. Equations 269, No. 10, 7862-7880 (2020). MSC: 35G46 35B40 35B65 47D06 74F05 74K20 PDFBibTeX XMLCite \textit{M. Conti} et al., J. Differ. Equations 269, No. 10, 7862--7880 (2020; Zbl 1442.35073) Full Text: DOI
Chen, Wenhui; Palmieri, Alessandro Nonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative case. (English) Zbl 1441.35067 Discrete Contin. Dyn. Syst. 40, No. 9, 5513-5540 (2020). MSC: 35B44 35L30 35L76 35B33 PDFBibTeX XMLCite \textit{W. Chen} and \textit{A. Palmieri}, Discrete Contin. Dyn. Syst. 40, No. 9, 5513--5540 (2020; Zbl 1441.35067) Full Text: DOI arXiv
Bezerra, Flank D. M.; Santos, Lucas A. Fractional powers approach of operators for abstract evolution equations of third order in time. (English) Zbl 1468.34091 J. Differ. Equations 269, No. 7, 5661-5679 (2020). Reviewer: Hristo S. Kiskinov (Plovdiv) MSC: 34G10 47D06 47D03 PDFBibTeX XMLCite \textit{F. D. M. Bezerra} and \textit{L. A. Santos}, J. Differ. Equations 269, No. 7, 5661--5679 (2020; Zbl 1468.34091) Full Text: DOI
Pellicer, Marta; Quintanilla, Ramon On uniqueness and instability for some thermomechanical problems involving the Moore-Gibson-Thompson equation. (English) Zbl 1434.74042 Z. Angew. Math. Phys. 71, No. 3, Paper No. 84, 21 p. (2020). MSC: 74F05 74H25 74H40 74B10 74H55 PDFBibTeX XMLCite \textit{M. Pellicer} and \textit{R. Quintanilla}, Z. Angew. Math. Phys. 71, No. 3, Paper No. 84, 21 p. (2020; Zbl 1434.74042) Full Text: DOI
Liu, Wenjun; Chen, Zhijing General decay rate for a Moore-Gibson-Thompson equation with infinite history. (English) Zbl 1436.35263 Z. Angew. Math. Phys. 71, No. 2, Paper No. 43, 24 p. (2020). MSC: 35L90 35B35 45D05 47D06 76Q05 PDFBibTeX XMLCite \textit{W. Liu} and \textit{Z. Chen}, Z. Angew. Math. Phys. 71, No. 2, Paper No. 43, 24 p. (2020; Zbl 1436.35263) Full Text: DOI
Bucci, Francesca; Lasiecka, Irena Feedback control of the acoustic pressure in ultrasonic wave propagation. (English) Zbl 1429.49038 Optimization 68, No. 10, 1811-1854 (2019). MSC: 49N10 49N35 PDFBibTeX XMLCite \textit{F. Bucci} and \textit{I. Lasiecka}, Optimization 68, No. 10, 1811--1854 (2019; Zbl 1429.49038) Full Text: DOI arXiv
Lizama, Carlos; Zamorano, Sebastián Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics. (English) Zbl 1411.35197 J. Differ. Equations 266, No. 12, 7813-7843 (2019). MSC: 35L35 93B05 93B07 PDFBibTeX XMLCite \textit{C. Lizama} and \textit{S. Zamorano}, J. Differ. Equations 266, No. 12, 7813--7843 (2019; Zbl 1411.35197) Full Text: DOI
Alves, M. O.; Caixeta, A. H.; Jorge Silva, M. A.; Rodrigues, J. H. Moore-Gibson-Thompson equation with memory in a history framework: a semigroup approach. (English) Zbl 1402.35082 Z. Angew. Math. Phys. 69, No. 4, Paper No. 106, 19 p. (2018). MSC: 35G10 35B35 35B40 35L25 35R09 47D06 PDFBibTeX XMLCite \textit{M. O. Alves} et al., Z. Angew. Math. Phys. 69, No. 4, Paper No. 106, 19 p. (2018; Zbl 1402.35082) Full Text: DOI
Abadías, Luciano; Lizama, Carlos; Murillo-Arcila, Marina Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay. (English) Zbl 1376.45011 Commun. Pure Appl. Anal. 17, No. 1, 243-265 (2018). MSC: 45N05 45D05 PDFBibTeX XMLCite \textit{L. Abadías} et al., Commun. Pure Appl. Anal. 17, No. 1, 243--265 (2018; Zbl 1376.45011) Full Text: DOI
Dell’Oro, Filippo; Pata, Vittorino On a fourth-order equation of Moore-Gibson-Thompson type. (English) Zbl 1383.35054 Milan J. Math. 85, No. 2, 215-234 (2017). MSC: 35G16 35B35 47D06 74D05 PDFBibTeX XMLCite \textit{F. Dell'Oro} and \textit{V. Pata}, Milan J. Math. 85, No. 2, 215--234 (2017; Zbl 1383.35054) Full Text: DOI
Lasiecka, Irena Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics. (English) Zbl 1361.35146 J. Evol. Equ. 17, No. 1, 411-441 (2017). MSC: 35Q35 76Q05 35A01 35L05 35L70 35R09 PDFBibTeX XMLCite \textit{I. Lasiecka}, J. Evol. Equ. 17, No. 1, 411--441 (2017; Zbl 1361.35146) Full Text: DOI
Domingos Cavalcanti, Valéria Neves; Lasiecka, Irena; Caixeta, Arthur Henrique On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation. (English) Zbl 1364.35042 Evol. Equ. Control Theory 5, No. 4, 661-676 (2016). MSC: 35B40 35L25 35L75 35L90 93D15 93D20 37C75 PDFBibTeX XMLCite \textit{V. N. Domingos Cavalcanti} et al., Evol. Equ. Control Theory 5, No. 4, 661--676 (2016; Zbl 1364.35042) Full Text: DOI