Meliani, Mostafa; Said-Houari, Belkacem Energy decay of some multi-term nonlocal-in-time Moore–Gibson–Thompson equations. arXiv:2309.07750 Preprint, arXiv:2309.07750 [math.AP] (2023). MSC: 35A01 35A02 35B40 35D30 35L05 35L35 35R11 BibTeX Cite \textit{M. Meliani} and \textit{B. Said-Houari}, ``Energy decay of some multi-term nonlocal-in-time Moore--Gibson--Thompson equations'', Preprint, arXiv:2309.07750 [math.AP] (2023) Full Text: arXiv OA License
Nikolić, Vanja; Said-Houari, Belkacem The Westervelt-Pennes model of nonlinear thermoacoustics: global solvability and asymptotic behavior. (English) Zbl 1496.35089 J. Differ. Equations 336, 628-653 (2022). MSC: 35B40 35G61 35K58 35L71 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Said-Houari}, J. Differ. Equations 336, 628--653 (2022; Zbl 1496.35089) 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
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
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
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
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
Pellicer, M.; Said-Houari, B. Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound. (English) Zbl 1425.35120 Appl. Math. Optim. 80, No. 2, 447-478 (2019). MSC: 35L77 35B30 35B40 35L82 35L55 74D05 93D15 93D20 PDFBibTeX XMLCite \textit{M. Pellicer} and \textit{B. Said-Houari}, Appl. Math. Optim. 80, No. 2, 447--478 (2019; Zbl 1425.35120) Full Text: DOI arXiv
Khader, Maisa; Said-Houari, Belkacem Optimal decay rate of solutions to Timoshenko system with past history in unbounded domains. (English) Zbl 1420.35044 Z. Anal. Anwend. 37, No. 4, 435-459 (2018). MSC: 35B40 35L55 74D05 93D15 93D20 74F05 PDFBibTeX XMLCite \textit{M. Khader} and \textit{B. Said-Houari}, Z. Anal. Anwend. 37, No. 4, 435--459 (2018; Zbl 1420.35044) Full Text: DOI
Said-Houari, Belkacem Global existence and decay estimates for the solution of a nonlinear Bresse system. (English) Zbl 1406.35184 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 172, 180-199 (2018). MSC: 35L52 74D05 93D15 93D20 35B40 PDFBibTeX XMLCite \textit{B. Said-Houari}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 172, 180--199 (2018; Zbl 1406.35184) Full Text: DOI
Ghoul, Tej-Eddine; Khenissi, Moez; Said-Houari, Belkacem On the stability of the Bresse system with frictional damping. (English) Zbl 1379.35016 J. Math. Anal. Appl. 455, No. 2, 1870-1898 (2017). MSC: 35B35 35G40 35B40 PDFBibTeX XMLCite \textit{T.-E. Ghoul} et al., J. Math. Anal. Appl. 455, No. 2, 1870--1898 (2017; Zbl 1379.35016) Full Text: DOI arXiv
Khader, Maisa; Said-Houari, Belkacem Decay rate of solutions to Timoshenko system with past history in unbounded domains. (English) Zbl 1378.35297 Appl. Math. Optim. 75, No. 3, 403-428 (2017). Reviewer: Adina Chirila (Brasov) MSC: 35Q74 35B40 45K05 47D03 74D05 74F05 74K10 35R09 PDFBibTeX XMLCite \textit{M. Khader} and \textit{B. Said-Houari}, Appl. Math. Optim. 75, No. 3, 403--428 (2017; Zbl 1378.35297) Full Text: DOI
Said-Houari, Belkacem; Hamadouche, Taklit The Cauchy problem of the bresse system in thermoelasticity of type III. (English) Zbl 1353.35197 Appl. Anal. 95, No. 11, 2323-2338 (2016). MSC: 35L56 35B40 PDFBibTeX XMLCite \textit{B. Said-Houari} and \textit{T. Hamadouche}, Appl. Anal. 95, No. 11, 2323--2338 (2016; Zbl 1353.35197) Full Text: DOI
Said-Houari, Belkacem; Hamadouche, Taklit The asymptotic behavior of the Bresse-Cattaneo system. (English) Zbl 1343.35029 Commun. Contemp. Math. 18, No. 4, Article ID 1550045, 18 p. (2016). MSC: 35B40 74D05 93D15 93D20 35L52 35L72 PDFBibTeX XMLCite \textit{B. Said-Houari} and \textit{T. Hamadouche}, Commun. Contemp. Math. 18, No. 4, Article ID 1550045, 18 p. (2016; Zbl 1343.35029) Full Text: DOI
Said-Houari, Belkacem; Soufyane, Abdelaziz The Bresse system in thermoelasticity. (English) Zbl 1336.35222 Math. Methods Appl. Sci. 38, No. 17, 3642-3652 (2015). MSC: 35L52 74D05 93D15 93D20 35B40 PDFBibTeX XMLCite \textit{B. Said-Houari} and \textit{A. Soufyane}, Math. Methods Appl. Sci. 38, No. 17, 3642--3652 (2015; Zbl 1336.35222) Full Text: DOI
Said-Houari, Belkacem Decay rates of the solution to the Cauchy problem of the type III Timoshenko model without any mechanical damping. (English) Zbl 1326.35044 Demonstr. Math. 48, No. 3, 379-390 (2015). MSC: 35B40 35L55 74D05 93D15 93D20 PDFBibTeX XMLCite \textit{B. Said-Houari}, Demonstr. Math. 48, No. 3, 379--390 (2015; Zbl 1326.35044) Full Text: DOI
Djouamai, Leila; Said-Houari, Belkacem Decay property of regularity-loss type for solutions in elastic solids with voids. (English) Zbl 1332.35039 J. Math. Anal. Appl. 409, No. 2, 705-715 (2014). MSC: 35B40 35Q74 35L52 PDFBibTeX XMLCite \textit{L. Djouamai} and \textit{B. Said-Houari}, J. Math. Anal. Appl. 409, No. 2, 705--715 (2014; Zbl 1332.35039) Full Text: DOI
Said-Houari, Belkacem; Soufyane, Abdelaziz The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system. (English) Zbl 1304.35105 Evol. Equ. Control Theory 3, No. 4, 713-738 (2014). MSC: 35B40 35B35 35L55 74D05 93D15 93D20 PDFBibTeX XMLCite \textit{B. Said-Houari} and \textit{A. Soufyane}, Evol. Equ. Control Theory 3, No. 4, 713--738 (2014; Zbl 1304.35105) Full Text: DOI
Kasimov, Aslan; Racke, Reinhard; Said-Houari, Belkacem Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound. (English) Zbl 1364.35044 Appl. Anal. 93, No. 5, 911-935 (2014). Reviewer: Marco Codegone (Torino) MSC: 35B40 37L15 35B35 35G55 74F05 PDFBibTeX XMLCite \textit{A. Kasimov} et al., Appl. Anal. 93, No. 5, 911--935 (2014; Zbl 1364.35044) Full Text: DOI
Said-Houari, Belkacem Improved decay rates for solutions for a multidimensional generalized Benjamin–Bona–Mahony equation. (English) Zbl 1315.35036 Asymptotic Anal. 86, No. 3-4, 155-164 (2014). Reviewer: David Ambrose (Philadelphia) MSC: 35B40 35G25 PDFBibTeX XMLCite \textit{B. Said-Houari}, Asymptotic Anal. 86, No. 3--4, 155--164 (2014; Zbl 1315.35036) Full Text: DOI
Said-Houari, Belkacem; Messaoudi, Salim A. General decay estimates for a Cauchy viscoelastic wave problem. (English) Zbl 1284.35077 Commun. Pure Appl. Anal. 13, No. 4, 1541-1551 (2014). MSC: 35B40 35L15 35R09 PDFBibTeX XMLCite \textit{B. Said-Houari} and \textit{S. A. Messaoudi}, Commun. Pure Appl. Anal. 13, No. 4, 1541--1551 (2014; Zbl 1284.35077) Full Text: DOI
Said-Houari, Belkacem; Kasimov, Aslan Damping by heat conduction in the Timoshenko system: Fourier and Cattaneo are the same. (English) Zbl 1282.35074 J. Differ. Equations 255, No. 4, 611-632 (2013). MSC: 35B40 74D05 93D15 93D20 35L53 PDFBibTeX XMLCite \textit{B. Said-Houari} and \textit{A. Kasimov}, J. Differ. Equations 255, No. 4, 611--632 (2013; Zbl 1282.35074) Full Text: DOI
Djouamai, Leila; Said-Houari, Belkacem Decay property for solutions in the three-phase-lag heat conduction. (English) Zbl 1277.35055 Commun. Math. Anal. 15, No. 1, 99-114 (2013). MSC: 35B40 35L35 80A20 35B35 PDFBibTeX XMLCite \textit{L. Djouamai} and \textit{B. Said-Houari}, Commun. Math. Anal. 15, No. 1, 99--114 (2013; Zbl 1277.35055) Full Text: Euclid
Said-Houari, Belkacem; Rahali, Radouane Asymptotic behavior of the solution to the Cauchy problem for the Timoshenko system in thermoelasticity of type III. (English) Zbl 1272.35039 Evol. Equ. Control Theory 2, No. 2, 423-440 (2013). MSC: 35B40 35B35 93D15 93D20 74F05 35L52 PDFBibTeX XMLCite \textit{B. Said-Houari} and \textit{R. Rahali}, Evol. Equ. Control Theory 2, No. 2, 423--440 (2013; Zbl 1272.35039) Full Text: DOI
Racke, Reinhard; Said-Houari, Belkacem Decay rates and global existence for semilinear dissipative Timoshenko systems. (English) Zbl 1278.35021 Q. Appl. Math. 71, No. 2, 229-266 (2013). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 35B40 35L71 35L52 PDFBibTeX XMLCite \textit{R. Racke} and \textit{B. Said-Houari}, Q. Appl. Math. 71, No. 2, 229--266 (2013; Zbl 1278.35021) Full Text: DOI
Said-Houari, Belkacem Decay properties of linear thermoelastic plates: Cattaneo versus Fourier law. (English) Zbl 1270.35113 Appl. Anal. 92, No. 2, 424-440 (2013). Reviewer: Jerzy August Gawinecki (Warszawa) MSC: 35B40 93D15 93D20 35Q93 74K20 74F05 PDFBibTeX XMLCite \textit{B. Said-Houari}, Appl. Anal. 92, No. 2, 424--440 (2013; Zbl 1270.35113) Full Text: DOI
Racke, Reinhard; Said-Houari, Belkacem Decay rates for semilinear viscoelastic systems in weighted spaces. (English) Zbl 1258.35032 J. Hyperbolic Differ. Equ. 9, No. 1, 67-103 (2012). Reviewer: Igor Bock (Bratislava) MSC: 35B40 35L70 35L52 74D05 35R09 PDFBibTeX XMLCite \textit{R. Racke} and \textit{B. Said-Houari}, J. Hyperbolic Differ. Equ. 9, No. 1, 67--103 (2012; Zbl 1258.35032) Full Text: DOI
Graber, Philip Jameson; Said-Houari, Belkacem Existence and asymptotic behavior of the wave equation with dynamic boundary conditions. (English) Zbl 1262.35167 Appl. Math. Optim. 66, No. 1, 81-122 (2012). Reviewer: Chengbo Wang (Hangzhou) MSC: 35L71 35B40 35B44 35L20 PDFBibTeX XMLCite \textit{P. J. Graber} and \textit{B. Said-Houari}, Appl. Math. Optim. 66, No. 1, 81--122 (2012; Zbl 1262.35167) Full Text: DOI
Racke, Reinhard; Said-Houari, Belkacem Global existence and decay property of the Timoshenko system in thermoelasticity with second sound. (English) Zbl 1254.35217 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 13, 4957-4973 (2012). Reviewer: Song Jiang (Beijing) MSC: 35Q74 35B40 74D05 PDFBibTeX XMLCite \textit{R. Racke} and \textit{B. Said-Houari}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 13, 4957--4973 (2012; Zbl 1254.35217) Full Text: DOI Link
Gerbi, Stéphane; Said-Houari, Belkacem Exponential decay for solutions to semilinear damped wave equation. (English) Zbl 1246.35036 Discrete Contin. Dyn. Syst., Ser. S 5, No. 3, 559-566 (2012). Reviewer: Marie Kopáčková (Praha) MSC: 35B40 35L71 35L20 PDFBibTeX XMLCite \textit{S. Gerbi} and \textit{B. Said-Houari}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 3, 559--566 (2012; Zbl 1246.35036) Full Text: DOI
Said-Houari, Belkacem Global existence and decay of solutions of a nonlinear system of wave equations. (English) Zbl 1246.35039 Appl. Anal. 91, No. 3, 475-489 (2012). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B40 35L53 35L71 PDFBibTeX XMLCite \textit{B. Said-Houari}, Appl. Anal. 91, No. 3, 475--489 (2012; Zbl 1246.35039) Full Text: DOI
Said-Houari, Belkacem; Kasimov, Aslan Decay property of Timoshenko system in thermoelasticity. (English) Zbl 1243.35025 Math. Methods Appl. Sci. 35, No. 3, 314-333 (2012). Reviewer: Jerzy Gawinecki (Warszawa) MSC: 35B40 35L55 93D15 93D20 35B35 74K10 74H45 PDFBibTeX XMLCite \textit{B. Said-Houari} and \textit{A. Kasimov}, Math. Methods Appl. Sci. 35, No. 3, 314--333 (2012; Zbl 1243.35025) Full Text: DOI
Said-Houari, Belkacem Asymptotic behaviors of solutions for viscoelastic wave equation with space-time dependent damping term. (English) Zbl 1244.35015 J. Math. Anal. Appl. 387, No. 2, 1088-1105 (2012). MSC: 35B40 35L71 35L15 35R09 PDFBibTeX XMLCite \textit{B. Said-Houari}, J. Math. Anal. Appl. 387, No. 2, 1088--1105 (2012; Zbl 1244.35015) Full Text: DOI
Said-Houari, Belkacem; Messaoudi, Salim. A.; Guesmia, Aissa General decay of solutions of a nonlinear system of viscoelastic wave equations. (English) Zbl 1246.35040 NoDEA, Nonlinear Differ. Equ. Appl. 18, No. 6, 659-684 (2011). Reviewer: Shun-Tang Wu (Zhonghe) MSC: 35B40 35L53 35L70 PDFBibTeX XMLCite \textit{B. Said-Houari} et al., NoDEA, Nonlinear Differ. Equ. Appl. 18, No. 6, 659--684 (2011; Zbl 1246.35040) Full Text: DOI
Kirane, Mokhtar; Said-Houari, Belkacem Existence and asymptotic stability of a viscoelastic wave equation with a delay. (English) Zbl 1242.35163 Z. Angew. Math. Phys. 62, No. 6, 1065-1082 (2011). Reviewer: Igor Bock (Bratislava) MSC: 35L20 35R09 35R10 35B40 37B25 PDFBibTeX XMLCite \textit{M. Kirane} and \textit{B. Said-Houari}, Z. Angew. Math. Phys. 62, No. 6, 1065--1082 (2011; Zbl 1242.35163) Full Text: DOI
Kirane, Mokhtar; Said-Houari, Belkacem; Anwar, Mohamed Naim Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks. (English) Zbl 1228.35242 Commun. Pure Appl. Anal. 10, No. 2, 667-686 (2011). MSC: 35Q74 74K10 35L45 35L70 35B40 PDFBibTeX XMLCite \textit{M. Kirane} et al., Commun. Pure Appl. Anal. 10, No. 2, 667--686 (2011; Zbl 1228.35242) Full Text: DOI
Said-Houari, Belkacem Exponential growth of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms. (English) Zbl 1339.35169 Z. Angew. Math. Phys. 62, No. 1, 115-133 (2011). MSC: 35L57 74D10 74H40 35B40 35L75 35R09 45K05 PDFBibTeX XMLCite \textit{B. Said-Houari}, Z. Angew. Math. Phys. 62, No. 1, 115--133 (2011; Zbl 1339.35169) Full Text: DOI
Messaoudi, Salim A.; Said-Houari, Belkacem Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms. (English) Zbl 1188.35029 J. Math. Anal. Appl. 365, No. 1, 277-287 (2010). Reviewer: Igor Bock (Bratislava) MSC: 35B44 35B40 35L71 35L20 35R09 74D05 35L53 PDFBibTeX XMLCite \textit{S. A. Messaoudi} and \textit{B. Said-Houari}, J. Math. Anal. Appl. 365, No. 1, 277--287 (2010; Zbl 1188.35029) Full Text: DOI
Messaoudi, Salim A.; Said-Houari, Belkacem Uniform decay in a Timoshenko-type system with past history. (English) Zbl 1183.35040 J. Math. Anal. Appl. 360, No. 2, 459-475 (2009). Reviewer: Igor Bock (Bratislava) MSC: 35B40 35B35 35L20 74K10 35R09 35L71 PDFBibTeX XMLCite \textit{S. A. Messaoudi} and \textit{B. Said-Houari}, J. Math. Anal. Appl. 360, No. 2, 459--475 (2009; Zbl 1183.35040) Full Text: DOI
Said-Houari, Belkacem Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping. (English) Zbl 1194.35066 J. Differ. Equations 247, No. 3, 917-930 (2009). MSC: 35B40 35B45 35L60 35L65 35L50 PDFBibTeX XMLCite \textit{B. Said-Houari}, J. Differ. Equations 247, No. 3, 917--930 (2009; Zbl 1194.35066) Full Text: DOI
Messaoudi, Salim A.; Said-Houari, Belkacem Energy decay in a Timoshenko-type system with history in thermoelasticity of type III. (English) Zbl 1168.35320 Adv. Differ. Equ. 14, No. 3-4, 375-400 (2009). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 35B40 35B37 35L55 93D20 PDFBibTeX XMLCite \textit{S. A. Messaoudi} and \textit{B. Said-Houari}, Adv. Differ. Equ. 14, No. 3--4, 375--400 (2009; Zbl 1168.35320)
Gerbi, Stéphane; Said-Houari, Belkacem Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions. (English) Zbl 1183.35035 Adv. Differ. Equ. 13, No. 11-12, 1051-1074 (2008). MSC: 35B40 35L71 35L20 PDFBibTeX XMLCite \textit{S. Gerbi} and \textit{B. Said-Houari}, Adv. Differ. Equ. 13, No. 11--12, 1051--1074 (2008; Zbl 1183.35035) Full Text: arXiv
Messaoudi, Salim A.; Said-Houari, Belkacem; Tatar, Nasser-eddine Global existence and asymptotic behavior for a fractional differential equation. (English) Zbl 1121.35020 Appl. Math. Comput. 188, No. 2, 1955-1962 (2007). Reviewer: Samir B. Hadid (Ajman) MSC: 35B40 26A33 34A12 35L99 PDFBibTeX XMLCite \textit{S. A. Messaoudi} et al., Appl. Math. Comput. 188, No. 2, 1955--1962 (2007; Zbl 1121.35020) Full Text: DOI