Zhang, Mengyuan; Liu, Zhiqing; Zhang, Xinli Well-posedness and asymptotic behavior for a \(p\)-biharmonic pseudo-parabolic equation with logarithmic nonlinearity of the gradient type. (English) Zbl 07819204 Math. Nachr. 297, No. 2, 525-548 (2024). MSC: 35L35 58J45 93D15 93D20 PDFBibTeX XMLCite \textit{M. Zhang} et al., Math. Nachr. 297, No. 2, 525--548 (2024; Zbl 07819204) Full Text: DOI
Makaova, Ruzana Khasanbievna On a mixed problem for a third order degenerating hyperbolic equation. (Russian. English summary) Zbl 07823382 Vestn. KRAUNTS, Fiz.-Mat. Nauki 44, No. 3, 19-29 (2023). MSC: 35L25 35L80 PDFBibTeX XMLCite \textit{R. K. Makaova}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 44, No. 3, 19--29 (2023; Zbl 07823382) Full Text: DOI MNR
Pahlani, Gunjan; Schwartzentruber, Thomas; James, Richard D. A constitutive relation generalizing the Navier-Stokes theory to high-rate regimes. (English) Zbl 07767349 J. Fluid Mech. 974, Paper No. A30, 27 p. (2023). MSC: 76-XX PDFBibTeX XMLCite \textit{G. Pahlani} et al., J. Fluid Mech. 974, Paper No. A30, 27 p. (2023; Zbl 07767349) Full Text: DOI OA License
Alazman, Ibtehal; Jleli, Mohamed Instantaneous blow-up for evolution inequalities of Sobolev type with nonlinear convolution terms. (English) Zbl 1521.35054 Discrete Contin. Dyn. Syst., Ser. S 16, No. 8, 1996-2016 (2023). MSC: 35B44 35B33 35K70 35R45 PDFBibTeX XMLCite \textit{I. Alazman} and \textit{M. Jleli}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 8, 1996--2016 (2023; Zbl 1521.35054) Full Text: DOI
Aldawish, Ibtisam; Alazman, Ibtehal; Jleli, Mohamed; Samet, Bessem A \((3+1)\)-dimensional equation of plasma drift waves perturbed by a singular potential in an infinite parallelepiped. (English) Zbl 1517.35092 J. Phys. A, Math. Theor. 56, No. 26, Article ID 265205, 13 p. (2023). MSC: 35D30 35G16 35K70 PDFBibTeX XMLCite \textit{I. Aldawish} et al., J. Phys. A, Math. Theor. 56, No. 26, Article ID 265205, 13 p. (2023; Zbl 1517.35092) Full Text: DOI
Sihem, Benamira; Eddine, Oussaeif Taki; Abdelfatah, Bouziani Galerkin finite element method for a semi-linear parabolic equation with purely integral conditions. (English) Zbl 07801856 Bol. Soc. Parana. Mat. (3) 40, Paper No. 68, 15 p. (2022). MSC: 35A05 35A07 35K50 35Q80 PDFBibTeX XMLCite \textit{B. Sihem} et al., Bol. Soc. Parana. Mat. (3) 40, Paper No. 68, 15 p. (2022; Zbl 07801856) Full Text: DOI
Makaova, R. Kh. Boundary value problem with a displacement for a hyperbolic equation of third order with a derivative under boundary conditions. (Russian. English summary) Zbl 1499.35385 Vestn. KRAUNTS, Fiz.-Mat. Nauki 37, No. 4, 38-44 (2021). MSC: 35L25 35L80 PDFBibTeX XMLCite \textit{R. Kh. Makaova}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 37, No. 4, 38--44 (2021; Zbl 1499.35385) Full Text: DOI MNR
Wang, Yitian; Liu, Xiaoping; Chen, Yuxuan Semilinear pseudo-parabolic equations on manifolds with conical singularities. (English) Zbl 1478.35125 Electron. Res. Arch. 29, No. 6, 3687-3720 (2021). MSC: 35K20 35K58 35K70 35D30 35B40 35B44 PDFBibTeX XMLCite \textit{Y. Wang} et al., Electron. Res. Arch. 29, No. 6, 3687--3720 (2021; Zbl 1478.35125) Full Text: DOI
Alikhanov, Anatoly; Beshtokov, Murat; Mehra, Mani The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation. (English) Zbl 1498.65133 Fract. Calc. Appl. Anal. 24, No. 4, 1231-1256 (2021). MSC: 65M06 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{A. Alikhanov} et al., Fract. Calc. Appl. Anal. 24, No. 4, 1231--1256 (2021; Zbl 1498.65133) Full Text: DOI arXiv
Mahmudov, Elimhan N.; Yusubov, Shakir Sh. Nonlocal boundary value problems for hyperbolic equations with a Caputo fractional derivative. (English) Zbl 1469.35228 J. Comput. Appl. Math. 398, Article ID 113709, 15 p. (2021). MSC: 35R11 35L20 PDFBibTeX XMLCite \textit{E. N. Mahmudov} and \textit{S. Sh. Yusubov}, J. Comput. Appl. Math. 398, Article ID 113709, 15 p. (2021; Zbl 1469.35228) Full Text: DOI
Korpusov, Maxim O.; Panin, Alexander A.; Shishkov, Andrey E. On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type. (English. Russian original) Zbl 1460.35053 Izv. Math. 85, No. 1, 111-144 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 1, 118-153 (2021). MSC: 35B44 35B33 35G25 35K70 PDFBibTeX XMLCite \textit{M. O. Korpusov} et al., Izv. Math. 85, No. 1, 111--144 (2021; Zbl 1460.35053); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 1, 118--153 (2021) Full Text: DOI
Gekkieva, Sakinat Khasanovna; Karmokov, Mukhamed Matsevich; Kerefov, Marat Aslanbievich On boundary value problem for generalized Aller equation. (Russian. English summary) Zbl 1458.35451 Vestn. Samar. Univ., Estestvennonauchn. Ser. 26, No. 2, 7-14 (2020). MSC: 35R11 35C15 PDFBibTeX XMLCite \textit{S. K. Gekkieva} et al., Vestn. Samar. Univ., Estestvennonauchn. Ser. 26, No. 2, 7--14 (2020; Zbl 1458.35451) Full Text: DOI MNR
Beshtokov, Murat The first boundary value problem for multidimensional pseudoparabolic equation of the third order in the domain with an arbitrary boundary. (English) Zbl 1452.65149 Tarasyev, Alexander (ed.) et al., Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16–20, 2019. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 169-186 (2020). MSC: 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{M. Beshtokov}, in: Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16--20, 2019. Cham: Springer. 169--186 (2020; Zbl 1452.65149) Full Text: DOI
Makaova, R. Kh. Boundary-value problem for a third-order hyperbolic equation that is degenerate inside a domain and contains the aller operator in the principal part. (English. Russian original) Zbl 1450.35163 J. Math. Sci., New York 250, No. 5, 780-787 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 149, 64-71 (2018). MSC: 35L35 35L80 35A01 35A02 PDFBibTeX XMLCite \textit{R. Kh. Makaova}, J. Math. Sci., New York 250, No. 5, 780--787 (2020; Zbl 1450.35163); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 149, 64--71 (2018) Full Text: DOI
Jleli, Mohaemd; Samet, Bessem On local weak solutions for fractional in time Sobolev-type inequalities. (English) Zbl 1450.35304 J. Funct. Spaces 2020, Article ID 4867186, 7 p. (2020). MSC: 35R45 35R11 35B33 35D30 PDFBibTeX XMLCite \textit{M. Jleli} and \textit{B. Samet}, J. Funct. Spaces 2020, Article ID 4867186, 7 p. (2020; Zbl 1450.35304) Full Text: DOI
Lian, Wei; Wang, Juan; Xu, Runzhang Global existence and blow up of solutions for pseudo-parabolic equation with singular potential. (English) Zbl 1448.35322 J. Differ. Equations 269, No. 6, 4914-4959 (2020). MSC: 35K70 35A01 35B44 35K67 PDFBibTeX XMLCite \textit{W. Lian} et al., J. Differ. Equations 269, No. 6, 4914--4959 (2020; Zbl 1448.35322) Full Text: DOI
Fayazova, Zarina Boundary control for pseudoparabolic equations in space. (English) Zbl 07816096 Mat. Zamet. SVFU 26, No. 3, 98-108 (2019). MSC: 35-XX 49-XX PDFBibTeX XMLCite \textit{Z. Fayazova}, Mat. Zamet. SVFU 26, No. 3, 98--108 (2019; Zbl 07816096) Full Text: DOI
Šilhavý, M. The scientific work of Bernard D. Coleman. (English) Zbl 1447.01022 Math. Mech. Solids 24, No. 2, 339-360 (2019). MSC: 01A70 PDFBibTeX XMLCite \textit{M. Šilhavý}, Math. Mech. Solids 24, No. 2, 339--360 (2019; Zbl 1447.01022) Full Text: DOI
Korpusov, Maksim O.; Panin, Aleksandr A. Instantaneous blow-up versus local solubility of the Cauchy problem for a two-dimensional equation of a semiconductor with heating. (English. Russian original) Zbl 1437.35107 Izv. Math. 83, No. 6, 1174-1200 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 6, 104-132 (2019). MSC: 35B44 35K30 35D30 35K58 PDFBibTeX XMLCite \textit{M. O. Korpusov} and \textit{A. A. Panin}, Izv. Math. 83, No. 6, 1174--1200 (2019; Zbl 1437.35107); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 6, 104--132 (2019) Full Text: DOI
Kaltenbacher, Barbara; Rundell, William Regularization of a backwards parabolic equation by fractional operators. (English) Zbl 1410.35285 Inverse Probl. Imaging 13, No. 2, 401-430 (2019). MSC: 35R30 65M32 35R11 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{W. Rundell}, Inverse Probl. Imaging 13, No. 2, 401--430 (2019; Zbl 1410.35285) Full Text: DOI arXiv
Makaova, R. Kh. The Tricomi problem for a third order hyperbolic equation degenerating inside the domain. (Russian. English summary) Zbl 1407.35128 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 3(23), 67-75 (2018). MSC: 35L25 35L80 35R11 35A01 35A02 PDFBibTeX XMLCite \textit{R. Kh. Makaova}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 3(23), 67--75 (2018; Zbl 1407.35128) Full Text: DOI MNR
Korpusov, M. O.; Lukyanenko, D. V. Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors. (English) Zbl 1380.35028 J. Math. Anal. Appl. 459, No. 1, 159-181 (2018). MSC: 35B44 35J75 35K67 PDFBibTeX XMLCite \textit{M. O. Korpusov} and \textit{D. V. Lukyanenko}, J. Math. Anal. Appl. 459, No. 1, 159--181 (2018; Zbl 1380.35028) Full Text: DOI
Makaova, Rusanna Khasanbievna A boundary value problem for a third order hyperbolic equation with degeneration of order inside the domain. (Russian. English summary) Zbl 1413.35297 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 21, No. 4, 651-664 (2017). MSC: 35L25 35L80 PDFBibTeX XMLCite \textit{R. K. Makaova}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 21, No. 4, 651--664 (2017; Zbl 1413.35297) Full Text: DOI MNR
Beshtokov, M. Kh. Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution. (English. Russian original) Zbl 1393.65007 Comput. Math. Math. Phys. 57, No. 12, 1973-1993 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 2021-2041 (2017). MSC: 65M06 35Q35 35R70 35B45 PDFBibTeX XMLCite \textit{M. Kh. Beshtokov}, Comput. Math. Math. Phys. 57, No. 12, 1973--1993 (2017; Zbl 1393.65007); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 2021--2041 (2017) Full Text: DOI
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar; Al-Yami, Maryem Nonexistence results for higher order pseudo-parabolic equations in the Heisenberg group. (English) Zbl 06706901 Math. Methods Appl. Sci. 40, No. 4, 1280-1287 (2017). MSC: 47J35 34A34 35R03 PDFBibTeX XMLCite \textit{A. Alsaedi} et al., Math. Methods Appl. Sci. 40, No. 4, 1280--1287 (2017; Zbl 06706901) Full Text: DOI
Makaova, R. Kh. The first boundary value problem for the non-homogeneous Hallaire equation. (Russian. English summary) Zbl 1413.35444 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2016, No. 4(16), 45-49 (2016). MSC: 35R11 PDFBibTeX XMLCite \textit{R. Kh. Makaova}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2016, No. 4(16), 45--49 (2016; Zbl 1413.35444) Full Text: MNR
Beshtokov, M. Kh. Difference method for solving a nonlocal boundary value problem for a degenerating third-order pseudo-parabolic equation with variable coefficients. (English. Russian original) Zbl 1358.65054 Comput. Math. Math. Phys. 56, No. 10, 1763-1777 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 10, 1780-1794 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 35K70 65M12 PDFBibTeX XMLCite \textit{M. Kh. Beshtokov}, Comput. Math. Math. Phys. 56, No. 10, 1763--1777 (2016; Zbl 1358.65054); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 10, 1780--1794 (2016) Full Text: DOI
Beshtokov, M. H. On a nonlocal boundary value problem for a third-order pseudo-parabolic equation. (English) Zbl 1332.35190 Comput. Math. Model. 27, No. 1, 60-79 (2016). MSC: 35K70 35K35 65M06 65M12 PDFBibTeX XMLCite \textit{M. H. Beshtokov}, Comput. Math. Model. 27, No. 1, 60--79 (2016; Zbl 1332.35190) Full Text: DOI
Beshtokov, M. Kh. A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation. (English. Russian original) Zbl 1327.65157 Comput. Math. Math. Phys. 54, No. 9, 1441-1458 (2014); translation from Zh. Vychisl. Mat. Mat. Fiz. 54, No. 9, 1497-1514 (2014). MSC: 65M06 35K70 65M15 65M12 35L35 PDFBibTeX XMLCite \textit{M. Kh. Beshtokov}, Comput. Math. Math. Phys. 54, No. 9, 1441--1458 (2014; Zbl 1327.65157); translation from Zh. Vychisl. Mat. Mat. Fiz. 54, No. 9, 1497--1514 (2014) Full Text: DOI
Tao, Qiang; Gao, Hang; Yao, Zheng-an Null controllability of a pseudo-parabolic equation with moving control. (English) Zbl 1303.93042 J. Math. Anal. Appl. 418, No. 2, 998-1005 (2014). MSC: 93B05 35K70 PDFBibTeX XMLCite \textit{Q. Tao} et al., J. Math. Anal. Appl. 418, No. 2, 998--1005 (2014; Zbl 1303.93042) Full Text: DOI
Gao, Yunzhu; Guo, Bin; Gao, Wenjie Weak solutions for a high-order pseudo-parabolic equation with variable exponents. (English) Zbl 1286.35125 Appl. Anal. 93, No. 2, 322-338 (2014). MSC: 35K35 35K55 35K65 PDFBibTeX XMLCite \textit{Y. Gao} et al., Appl. Anal. 93, No. 2, 322--338 (2014; Zbl 1286.35125) Full Text: DOI
Tao, Qiang; Gao, Hang; Yao, Zheng-An Boundary controllability of a pseudoparabolic equation. (English) Zbl 1291.93047 Abstr. Appl. Anal. 2013, Article ID 483053, 6 p. (2013). MSC: 93B05 93C20 35K99 PDFBibTeX XMLCite \textit{Q. Tao} et al., Abstr. Appl. Anal. 2013, Article ID 483053, 6 p. (2013; Zbl 1291.93047) Full Text: DOI
Lafitte, P.; Mascia, C. Numerical exploration of a forward-backward diffusion equation. (English) Zbl 1259.65129 Math. Models Methods Appl. Sci. 22, No. 6, Paper No. 4, 33 p. (2012). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65M06 65M30 80A22 35K70 35K55 35R25 PDFBibTeX XMLCite \textit{P. Lafitte} and \textit{C. Mascia}, Math. Models Methods Appl. Sci. 22, No. 6, Paper No. 4, 33 p. (2012; Zbl 1259.65129) Full Text: DOI
Zvyagin, V. G.; Turbin, M. V. The study of initial-boundary value problems for mathematical models of the motion of Kelvin-Voigt fluids. (English. Russian original) Zbl 1288.35005 J. Math. Sci., New York 168, No. 2, 157-308 (2010); translation from Sovrem. Mat., Fundam. Napravl. 31 (2009). MSC: 35-02 76-02 35Q35 35S30 76A05 PDFBibTeX XMLCite \textit{V. G. Zvyagin} and \textit{M. V. Turbin}, J. Math. Sci., New York 168, No. 2, 157--308 (2010; Zbl 1288.35005); translation from Sovrem. Mat., Fundam. Napravl. 31 (2009) Full Text: DOI
Christov, Ivan C. Stokes’ first problem for some non-Newtonian fluids: results and mistakes. (English) Zbl 1272.76018 Mech. Res. Commun. 37, No. 8, 717-723 (2010). MSC: 76A05 76A10 PDFBibTeX XMLCite \textit{I. C. Christov}, Mech. Res. Commun. 37, No. 8, 717--723 (2010; Zbl 1272.76018) Full Text: DOI arXiv Link
Man, Chi-Sing; Massoudi, Mehrdad On the thermodynamics of some generalized second-grade fluids. (English) Zbl 1184.76616 Contin. Mech. Thermodyn. 22, No. 1, 27-46 (2010). MSC: 76A05 80A17 PDFBibTeX XMLCite \textit{C.-S. Man} and \textit{M. Massoudi}, Contin. Mech. Thermodyn. 22, No. 1, 27--46 (2010; Zbl 1184.76616) Full Text: DOI
Kharibegashvili, S. S.; Midodashvili, B. G. On some three-dimensional variants of Goursat and Darboux problems for higher-order hyperbolic equations with dominating principal parts. (English. Russian original) Zbl 1180.35332 J. Math. Sci., New York 157, No. 1, 119-139 (2009); translation from Sovrem. Mat. Prilozh. 51 (2008). MSC: 35L35 PDFBibTeX XMLCite \textit{S. S. Kharibegashvili} and \textit{B. G. Midodashvili}, J. Math. Sci., New York 157, No. 1, 119--139 (2009; Zbl 1180.35332); translation from Sovrem. Mat. Prilozh. 51 (2008) Full Text: DOI
Korpusov, M. O.; Sveshnikov, A. G. Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type. (English. Russian original) Zbl 1221.35005 J. Math. Sci., New York 148, No. 1, 1-142 (2008); translation from Sovrem. Mat. Prilozh. 40 (2006). Reviewer: Andrey E. Shishkov (Donetsk) MSC: 35-02 35B44 35K20 35K58 35K90 35K70 35L65 35B40 PDFBibTeX XMLCite \textit{M. O. Korpusov} and \textit{A. G. Sveshnikov}, J. Math. Sci., New York 148, No. 1, 1--142 (2008; Zbl 1221.35005); translation from Sovrem. Mat. Prilozh. 40 (2006) Full Text: DOI
Liu, Changchun Weak solutions for a class of metaparabolic equations. (English) Zbl 1160.35367 Appl. Anal. 87, No. 8, 887-900 (2008). MSC: 35D05 35G25 35G30 PDFBibTeX XMLCite \textit{C. Liu}, Appl. Anal. 87, No. 8, 887--900 (2008; Zbl 1160.35367) Full Text: DOI
Massoudi, Mehrdad; Vaidya, Ashwin On some generalizations of the second-grade fluid model. (English) Zbl 1140.76306 Nonlinear Anal., Real World Appl. 9, No. 3, 1169-1183 (2008). MSC: 76A05 76-02 PDFBibTeX XMLCite \textit{M. Massoudi} and \textit{A. Vaidya}, Nonlinear Anal., Real World Appl. 9, No. 3, 1169--1183 (2008; Zbl 1140.76306) Full Text: DOI
Qian, Zhi; Fu, Chu-Li; Shi, Rui A modified method for a backward heat conduction problem. (English) Zbl 1112.65090 Appl. Math. Comput. 185, No. 1, 564-573 (2007). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65M30 65M60 65M15 65M12 35K05 PDFBibTeX XMLCite \textit{Z. Qian} et al., Appl. Math. Comput. 185, No. 1, 564--573 (2007; Zbl 1112.65090) Full Text: DOI
Kiguradze, Tariel; Lakshmikantham, V. On initial-boundary value problems in bounded and unbounded domains for a class of nonlinear hyperbolic equations of the third order. (English) Zbl 1106.35036 J. Math. Anal. Appl. 324, No. 2, 1242-1261 (2006). MSC: 35L75 35A05 PDFBibTeX XMLCite \textit{T. Kiguradze} and \textit{V. Lakshmikantham}, J. Math. Anal. Appl. 324, No. 2, 1242--1261 (2006; Zbl 1106.35036) Full Text: DOI
Mesloub, Said A nonlinear nonlocal mixed problem for a second order pseudoparabolic equation. (English) Zbl 1085.35088 J. Math. Anal. Appl. 316, No. 1, 189-209 (2006). MSC: 35K70 35K20 35K55 PDFBibTeX XMLCite \textit{S. Mesloub}, J. Math. Anal. Appl. 316, No. 1, 189--209 (2006; Zbl 1085.35088) Full Text: DOI
Lesnic, D. Heat conduction with mixed derivatives. (English) Zbl 1056.65100 Int. J. Comput. Math. 81, No. 8, 971-977 (2004). MSC: 65M70 65M32 35K05 35R30 PDFBibTeX XMLCite \textit{D. Lesnic}, Int. J. Comput. Math. 81, No. 8, 971--977 (2004; Zbl 1056.65100) Full Text: DOI
Gast, Luis; Ellingson, William Die swell measurements of second-order fluids: Numerical experiments. (English) Zbl 0937.76033 Int. J. Numer. Methods Fluids 29, No. 1, 1-18 (1999). MSC: 76M10 76A05 PDFBibTeX XMLCite \textit{L. Gast} and \textit{W. Ellingson}, Int. J. Numer. Methods Fluids 29, No. 1, 1--18 (1999; Zbl 0937.76033) Full Text: DOI
Chan Man Fong, C. F.; Kaloni, P. N.; De Kee, D. Comments on the solutions of boundary value problems in non-Newtonian fluid mechanics. (English) Zbl 0859.76006 Acta Mech. 115, No. 1-4, 231-237 (1996). MSC: 76A10 PDFBibTeX XMLCite \textit{C. F. Chan Man Fong} et al., Acta Mech. 115, No. 1--4, 231--237 (1996; Zbl 0859.76006) Full Text: DOI
Berger, R. Non-stationary motion of a filament under geometric nonlinearity. (Instationäre Bewegung eines Fadens bei geometrischer Nichtlinearität.) (German) Zbl 0925.73237 Z. Angew. Math. Mech. 75, Suppl. 1, S47-S48 (1995). MSC: 74K05 PDFBibTeX XMLCite \textit{R. Berger}, Z. Angew. Math. Mech. 75, S47--S48 (1995; Zbl 0925.73237) Full Text: DOI
Berger, Hans-Reinhard Instabilities due to omission of nonlinear terms in equations for viscoelastic flows. (English) Zbl 0925.76165 Z. Angew. Math. Mech. 75, No. 7, 566-568 (1995). MSC: 76E05 76A10 PDFBibTeX XMLCite \textit{H.-R. Berger}, Z. Angew. Math. Mech. 75, No. 7, 566--568 (1995; Zbl 0925.76165) Full Text: DOI
Galdi, Giovanni P.; Grobbelaar-van Dalsen, Marié; Sauer, Niko Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids. (English) Zbl 0804.76003 Arch. Ration. Mech. Anal. 124, No. 3, 221-237 (1993). Reviewer: R.Saxton (New Orleans) MSC: 76A05 35Q35 76A10 PDFBibTeX XMLCite \textit{G. P. Galdi} et al., Arch. Ration. Mech. Anal. 124, No. 3, 221--237 (1993; Zbl 0804.76003) Full Text: DOI
Man, Chi-Sing Nonsteady channel flow of ice as a modified second-order fluid with power-law viscosity. (English) Zbl 0757.76001 Arch. Ration. Mech. Anal. 119, No. 1, 35-57 (1992). Reviewer: H.Ramkissoon (St.Augustine) MSC: 76A05 86A40 PDFBibTeX XMLCite \textit{C.-S. Man}, Arch. Ration. Mech. Anal. 119, No. 1, 35--57 (1992; Zbl 0757.76001) Full Text: DOI
Galdi, G. P.; Padula, M.; Rajagopal, K. R. On the conditional stability of the rest state of a fluid of second grade in unbounded domains. (English) Zbl 0697.76018 Arch. Ration. Mech. Anal. 109, No. 2, 173-182 (1990). MSC: 76A10 PDFBibTeX XMLCite \textit{G. P. Galdi} et al., Arch. Ration. Mech. Anal. 109, No. 2, 173--182 (1990; Zbl 0697.76018) Full Text: DOI
Cannon, John R.; Lin, Yanping Classical and weak solutions for one-dimensional pseudo-parabolic equations with typical boundary data. (English) Zbl 0679.35056 Ann. Mat. Pura Appl., IV. Ser. 152, 375-385 (1988). Reviewer: N.L.Maria MSC: 35K70 76S05 35K35 35D10 35B35 PDFBibTeX XMLCite \textit{J. R. Cannon} and \textit{Y. Lin}, Ann. Mat. Pura Appl. (4) 152, 375--385 (1988; Zbl 0679.35056) Full Text: DOI
Coleman, Bernard D. Approximation of fluids with fading memory in retarted motion. (Italian. English summary) Zbl 0645.76005 Rend. Circ. Mat. Palermo, II. Ser. 36, No. 2, 182-193 (1987). MSC: 76A05 76M99 PDFBibTeX XMLCite \textit{B. D. Coleman}, Rend. Circ. Mat. Palermo (2) 36, No. 2, 182--193 (1987; Zbl 0645.76005) Full Text: DOI
Ahrens, Mark; Joseph, D. D.; Renardy, M.; Renardy, Y. Remarks on the stability of viscometric flow. (English) Zbl 0568.76054 Rheol. Acta 23, 345-354 (1984). Reviewer: P.K.Kythe MSC: 76E99 76A10 PDFBibTeX XMLCite \textit{M. Ahrens} et al., Rheol. Acta 23, 345--354 (1984; Zbl 0568.76054) Full Text: DOI
Dunwoody, J.; Dunwoody, N. T. On the admissibility and existence of unsteady retarded plane Poiseuille flow of simple fluids with fading memory. II: Existence. (English) Zbl 0512.76007 Arch. Ration. Mech. Anal. 80, 89-98 (1982). MSC: 76A05 76A10 PDFBibTeX XMLCite \textit{J. Dunwoody} and \textit{N. T. Dunwoody}, Arch. Ration. Mech. Anal. 80, 89--98 (1982; Zbl 0512.76007) Full Text: DOI
Joseph, Daniel D. Instability of the rest state of fluids of arbitrary grade greater than one. (English) Zbl 0468.76005 Arch. Ration. Mech. Anal. 75, 251-256 (1981). MSC: 76A05 PDFBibTeX XMLCite \textit{D. D. Joseph}, Arch. Ration. Mech. Anal. 75, 251--256 (1981; Zbl 0468.76005) Full Text: DOI
Huilgol, R. R. Viscoelastic fluid theories based on the left Cauchy-Green tensor history. (English) Zbl 0435.76006 Rheol. Acta 18, 451-455 (1979). MSC: 76A05 76A02 PDFBibTeX XMLCite \textit{R. R. Huilgol}, Rheol. Acta 18, 451--455 (1979; Zbl 0435.76006) Full Text: DOI
Fosdick, R. L.; Rajagopal, K. R. Anomalous features in the model of ”second order fluids”. (English) Zbl 0427.76006 Arch. Ration. Mech. Anal. 70, 145-152 (1979). MSC: 76A05 76A02 76D99 PDFBibTeX XMLCite \textit{R. L. Fosdick} and \textit{K. R. Rajagopal}, Arch. Ration. Mech. Anal. 70, 145--152 (1979; Zbl 0427.76006) Full Text: DOI
Wein, O.; Mitschka, P. Pseudoähnlichkeitslösung des Rayleighschen Problems für reinviskose nicht-newtonsche Flüssigkeiten. (German) Zbl 0403.76006 Rheol. Acta 17, 463-470 (1978). MSC: 76A05 PDFBibTeX XMLCite \textit{O. Wein} and \textit{P. Mitschka}, Rheol. Acta 17, 463--470 (1978; Zbl 0403.76006) Full Text: DOI
Nunziato, J. W. On stress power and boundedness of flows of incompressible second-order fluids. (English) Zbl 0395.76008 Acta Mech. 30, 227-235 (1978). MSC: 76A99 PDFBibTeX XMLCite \textit{J. W. Nunziato}, Acta Mech. 30, 227--235 (1978; Zbl 0395.76008) Full Text: DOI
Rundell, William The construction of solutions to pseudoparabolic equations in noncylindrical domains. (English) Zbl 0339.35067 J. Differ. Equations 27, 394-404 (1978). MSC: 35S15 PDFBibTeX XMLCite \textit{W. Rundell}, J. Differ. Equations 27, 394--404 (1978; Zbl 0339.35067) Full Text: DOI
Atanackovic, Teodor M. A note on the infinitesimal inviscid-like motions of viscous fluids. (English) Zbl 0392.76010 Meccanica 12, 138-139 (1977). MSC: 76A99 76D99 PDFBibTeX XMLCite \textit{T. M. Atanackovic}, Meccanica 12, 138--139 (1977; Zbl 0392.76010) Full Text: DOI
Brill, Heinz A semilinear Sobolev evolution equation in a Banach space. (English) Zbl 0346.34046 J. Differ. Equations 24, 412-425 (1977). MSC: 34G99 35K55 47H10 PDFBibTeX XMLCite \textit{H. Brill}, J. Differ. Equations 24, 412--425 (1977; Zbl 0346.34046) Full Text: DOI
Gopala Rao, V. R.; Ting, T. W. Pointwise solution of pseudoparabolic equations in the whole space. (English) Zbl 0299.35094 J. Differ. Equations 23, 125-161 (1977). MSC: 35S05 35B40 35D10 PDFBibTeX XMLCite \textit{V. R. Gopala Rao} and \textit{T. W. Ting}, J. Differ. Equations 23, 125--161 (1977; Zbl 0299.35094) Full Text: DOI
Rundell, William The solution of initial-boundary value problems for pseudo-parabolic partial differential equations. (English) Zbl 0329.35033 Proc. R. Soc. Edinb., Sect. A 74(1974/75), 311-326 (1976). MSC: 35K20 35S15 35E05 PDFBibTeX XMLCite \textit{W. Rundell}, Proc. R. Soc. Edinb., Sect. A, Math. 74, 311--326 (1976; Zbl 0329.35033) Full Text: DOI
Showalter, R. E. The Sobolev equation. II. (English) Zbl 0347.35074 Appl. Analysis 5, 81-99 (1975). MSC: 35R20 35B45 35K30 35D10 PDFBibTeX XMLCite \textit{R. E. Showalter}, Appl. Anal. 5, 81--99 (1975; Zbl 0347.35074) Full Text: DOI
Showalter, R. E. The Sobolev equation. I. (English) Zbl 0347.35073 Appl. Analysis 5, 15-22 (1975). MSC: 35R20 35K30 35B45 47D03 PDFBibTeX XMLCite \textit{R. E. Showalter}, Appl. Anal. 5, 15--22 (1975; Zbl 0347.35073) Full Text: DOI
Dunn, J. Ernest; Fosdick, Roger L. Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. (English) Zbl 0324.76001 Arch. Ration. Mech. Anal. 56, 191-252 (1974). MSC: 76A05 PDFBibTeX XMLCite \textit{J. E. Dunn} and \textit{R. L. Fosdick}, Arch. Ration. Mech. Anal. 56, 191--252 (1974; Zbl 0324.76001) Full Text: DOI
Joseph, Daniel D. Slow motion and viscometric motion; stability and bifurcation of the rest state of a simple fluid. (English) Zbl 0295.76035 Arch. Ration. Mech. Anal. 56, 99-157 (1974). MSC: 76E99 76A10 PDFBibTeX XMLCite \textit{D. D. Joseph}, Arch. Ration. Mech. Anal. 56, 99--157 (1974; Zbl 0295.76035) Full Text: DOI
Ting, Tsuan Wu A cooling process according to two-temperature theory of heat conduction. (English) Zbl 0272.35039 J. Math. Anal. Appl. 45, 23-31 (1974). MSC: 35K05 35K15 35B45 PDFBibTeX XMLCite \textit{T. W. Ting}, J. Math. Anal. Appl. 45, 23--31 (1974; Zbl 0272.35039) Full Text: DOI
Colton, David Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients. (English) Zbl 0255.35050 J. Differ. Equations 13, 506-522 (1973). MSC: 35C15 35K35 35A20 PDFBibTeX XMLCite \textit{D. Colton}, J. Differ. Equations 13, 506--522 (1973; Zbl 0255.35050) Full Text: DOI
Davis, Paul L. A quasilinear parabolic and a related third order problem. (English) Zbl 0261.35049 J. Math. Anal. Appl. 40, 327-335 (1972). MSC: 35K55 35B45 PDFBibTeX XMLCite \textit{P. L. Davis}, J. Math. Anal. Appl. 40, 327--335 (1972; Zbl 0261.35049) Full Text: DOI
Frater, Keith R. Stability of the flow of an elastico-viscous fluid. (English) Zbl 0247.76037 Z. Angew. Math. Phys. 22(1971), 1083-1087 (1972). MSC: 76E05 76A10 PDFBibTeX XMLCite \textit{K. R. Frater}, Z. Angew. Math. Phys. 22, 1083--1087 (1972; Zbl 0247.76037) Full Text: DOI
Showalter, R. E. Weak solutions of nonlinear evolution equations of Sobolev-Galpern type. (English) Zbl 0232.35027 J. Differ. Equations 11, 252-265 (1972). MSC: 35G10 35K25 58D25 PDFBibTeX XMLCite \textit{R. E. Showalter}, J. Differ. Equations 11, 252--265 (1972; Zbl 0232.35027) Full Text: DOI
Colton, David L. Pseudoparabolic equations in one space variable. (English) Zbl 0231.35038 J. Differ. Equations 12, 559-565 (1972). MSC: 35S05 35K30 PDFBibTeX XMLCite \textit{D. L. Colton}, J. Differ. Equations 12, 559--565 (1972; Zbl 0231.35038) Full Text: DOI
Hills, R. N. On uniqueness of flows for a class of second-order fluids. (English) Zbl 0268.76004 Mathematika, Lond. 17, 333-337 (1970). MSC: 76A99 PDFBibTeX XMLCite \textit{R. N. Hills}, Mathematika 17, 333--337 (1970; Zbl 0268.76004) Full Text: DOI
Levine, H. A. Logarithmic convexity, first order differential inequalities and some applications. (English) Zbl 0212.12001 Trans. Am. Math. Soc. 152, 299-320 (1970). MSC: 34G10 PDFBibTeX XMLCite \textit{H. A. Levine}, Trans. Am. Math. Soc. 152, 299--320 (1970; Zbl 0212.12001) Full Text: DOI
Huilgol, R. R. Steady temperature fields in second order fluids. (English) Zbl 0179.56003 Acta Mech. 7, 252-261 (1969). PDFBibTeX XMLCite \textit{R. R. Huilgol}, Acta Mech. 7, 252--261 (1969; Zbl 0179.56003) Full Text: DOI
Leigh, D. C. Asymptotic constitutive approximations for rapid deformations of viscoelastic materials. (English) Zbl 0172.51803 Acta Mech. 5, 274-288 (1968). PDFBibTeX XMLCite \textit{D. C. Leigh}, Acta Mech. 5, 274--288 (1968; Zbl 0172.51803) Full Text: DOI
Chen, P. J.; Gurtin, M. E. On a theory of heat conduction involving two temperature. (English) Zbl 0159.15103 Z. Angew. Math. Phys. 19, 614-627 (1968). PDFBibTeX XMLCite \textit{P. J. Chen} and \textit{M. E. Gurtin}, Z. Angew. Math. Phys. 19, 614--627 (1968; Zbl 0159.15103) Full Text: DOI
Ericksen, J. L. Nonexistence theorems in linearized elastostatics. (English) Zbl 0139.18001 J. Differ. Equations 1, 446-451 (1965). PDFBibTeX XMLCite \textit{J. L. Ericksen}, J. Differ. Equations 1, 446--451 (1965; Zbl 0139.18001) Full Text: DOI