Baldi, Pietro; Haus, Emanuele Normal form and dynamics of the Kirchhoff equation. (English) Zbl 07703442 Boll. Unione Mat. Ital. 16, No. 2, 337-349 (2023). MSC: 35Q74 37J40 35L05 35R09 35B20 35A01 35A02 35R01 PDFBibTeX XMLCite \textit{P. Baldi} and \textit{E. Haus}, Boll. Unione Mat. Ital. 16, No. 2, 337--349 (2023; Zbl 07703442) Full Text: DOI
An, Xinliang; Chen, Haoyang; Yin, Silu Low regularity ill-posedness for non-strictly hyperbolic systems in three dimensions. (English) Zbl 1508.35024 J. Math. Phys. 63, No. 5, Article ID 051503, 16 p. (2022). MSC: 35L70 35L67 35Q31 35L72 35L15 35R25 PDFBibTeX XMLCite \textit{X. An} et al., J. Math. Phys. 63, No. 5, Article ID 051503, 16 p. (2022; Zbl 1508.35024) Full Text: DOI
Lou, Zhaowei; Si, Jianguo; Wang, Shimin Invariant tori for the derivative nonlinear Schrödinger equation with nonlinear term depending on spatial variable. (English) Zbl 1502.37078 Discrete Contin. Dyn. Syst. 42, No. 9, 4555-4595 (2022). MSC: 37K55 37J40 70K43 35Q55 PDFBibTeX XMLCite \textit{Z. Lou} et al., Discrete Contin. Dyn. Syst. 42, No. 9, 4555--4595 (2022; Zbl 1502.37078) Full Text: DOI
Rosenau, Philip On essential nonlinearities emerging from linear systems. (English) Zbl 1524.70062 Wave Motion 110, Article ID 102881, 12 p. (2022). MSC: 70K25 34C15 PDFBibTeX XMLCite \textit{P. Rosenau}, Wave Motion 110, Article ID 102881, 12 p. (2022; Zbl 1524.70062) Full Text: DOI
Li, Ke; Ruan, Lizhi; Yang, Anita Periodic entropy solution to a conservation law with nonlocal source arising in radiative gas. (English) Zbl 1485.35018 J. Math. Anal. Appl. 512, No. 1, Article ID 126117, 17 p. (2022). MSC: 35B10 35L04 35L60 35L65 35R09 PDFBibTeX XMLCite \textit{K. Li} et al., J. Math. Anal. Appl. 512, No. 1, Article ID 126117, 17 p. (2022; Zbl 1485.35018) Full Text: DOI
Li, Qianfeng; Zhang, Yongqian An inverse problem for supersonic flow past a curved wedge. (English) Zbl 1485.35424 Nonlinear Anal., Real World Appl. 66, Article ID 103541, 20 p. (2022). MSC: 35R30 35L60 35L67 76J20 76N10 PDFBibTeX XMLCite \textit{Q. Li} and \textit{Y. Zhang}, Nonlinear Anal., Real World Appl. 66, Article ID 103541, 20 p. (2022; Zbl 1485.35424) Full Text: DOI
Baldi, Pietro; Haus, Emanuele Longer lifespan for many solutions of the Kirchhoff equation. (English) Zbl 1521.35121 SIAM J. Math. Anal. 54, No. 1, 306-342 (2022). MSC: 35L72 35L20 35R09 35Q74 37K45 70K45 70K65 PDFBibTeX XMLCite \textit{P. Baldi} and \textit{E. Haus}, SIAM J. Math. Anal. 54, No. 1, 306--342 (2022; Zbl 1521.35121) Full Text: DOI arXiv
Dong, Jianwei; Yuen, Manwai Blowup of smooth solutions to the compressible Euler equations with radial symmetry on bounded domains. (English) Zbl 1464.35042 Z. Angew. Math. Phys. 71, No. 6, Paper No. 189, 13 p. (2020). MSC: 35B44 35Q31 35L50 35L67 PDFBibTeX XMLCite \textit{J. Dong} and \textit{M. Yuen}, Z. Angew. Math. Phys. 71, No. 6, Paper No. 189, 13 p. (2020; Zbl 1464.35042) Full Text: DOI
Jin, Zhentao; Zhou, Yi Formation of finite-time singularities for nonlinear hyperbolic systems with small initial disturbances. (English) Zbl 1454.35232 J. Math. Phys. 61, No. 7, 071510, 12 p. (2020). MSC: 35L45 76W05 35L60 35Q31 35B44 PDFBibTeX XMLCite \textit{Z. Jin} and \textit{Y. Zhou}, J. Math. Phys. 61, No. 7, 071510, 12 p. (2020; Zbl 1454.35232) Full Text: DOI arXiv
Lou, Zhaowei; Si, Jianguo Periodic and quasi-periodic solutions for reversible unbounded perturbations of linear Schrödinger equations. (English) Zbl 1437.37100 J. Dyn. Differ. Equations 32, No. 1, 117-161 (2020). MSC: 37K55 35Q41 35B15 PDFBibTeX XMLCite \textit{Z. Lou} and \textit{J. Si}, J. Dyn. Differ. Equations 32, No. 1, 117--161 (2020; Zbl 1437.37100) Full Text: DOI
Baldi, Pietro; Haus, Emanuele On the existence time for the Kirchhoff equation with periodic boundary conditions. (English) Zbl 1437.35506 Nonlinearity 33, No. 1, 196-223 (2020). MSC: 35L72 35L20 35Q74 37J40 PDFBibTeX XMLCite \textit{P. Baldi} and \textit{E. Haus}, Nonlinearity 33, No. 1, 196--223 (2020; Zbl 1437.35506) Full Text: DOI arXiv
Dong, Jianwei; Xue, Hongxia; Lou, Guangpu Singularities of solutions to compressible Euler equations with damping. (English) Zbl 1469.35171 Eur. J. Mech., B, Fluids 76, 272-275 (2019). MSC: 35Q31 35B44 76N10 PDFBibTeX XMLCite \textit{J. Dong} et al., Eur. J. Mech., B, Fluids 76, 272--275 (2019; Zbl 1469.35171) Full Text: DOI
Corsi, Livia; Montalto, Riccardo Quasi-periodic solutions for the forced Kirchhoff equation on \(\mathbb T^d\). (English) Zbl 1403.37083 Nonlinearity 31, No. 11, 5075-5109 (2018). MSC: 37K55 35L70 35B15 PDFBibTeX XMLCite \textit{L. Corsi} and \textit{R. Montalto}, Nonlinearity 31, No. 11, 5075--5109 (2018; Zbl 1403.37083) Full Text: DOI arXiv
Speck, Jared Shock formation for 2\(D\) quasilinear wave systems featuring multiple speeds: blowup for the fastest wave, with non-trivial interactions up to the singularity. (English) Zbl 1400.35182 Ann. PDE 4, No. 1, Paper No. 6, 131 p. (2018). Reviewer: Dongbing Zha (Shanghai) MSC: 35L67 35L52 35L72 PDFBibTeX XMLCite \textit{J. Speck}, Ann. PDE 4, No. 1, Paper No. 6, 131 p. (2018; Zbl 1400.35182) Full Text: DOI arXiv
Hu, Yanbo On the existence of solutions to a one-dimensional degenerate nonlinear wave equation. (English) Zbl 1403.35178 J. Differ. Equations 265, No. 1, 157-176 (2018). MSC: 35L80 35L20 35L72 PDFBibTeX XMLCite \textit{Y. Hu}, J. Differ. Equations 265, No. 1, 157--176 (2018; Zbl 1403.35178) Full Text: DOI
Sugiyama, Yuusuke Singularity formation for the 1D compressible Euler equations with variable damping coefficient. (English) Zbl 1390.35250 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 170, 70-87 (2018). MSC: 35Q31 35B44 35L40 PDFBibTeX XMLCite \textit{Y. Sugiyama}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 170, 70--87 (2018; Zbl 1390.35250) Full Text: DOI arXiv
Sugiyama, Yuusuke Degeneracy in finite time of 1D quasilinear wave equations. II. (English) Zbl 1379.35193 Evol. Equ. Control Theory 6, No. 4, 615-628 (2017). MSC: 35L72 35L15 35A01 35L80 PDFBibTeX XMLCite \textit{Y. Sugiyama}, Evol. Equ. Control Theory 6, No. 4, 615--628 (2017; Zbl 1379.35193) Full Text: DOI arXiv
Lou, Zhaowei; Si, Jianguo Quasi-periodic solutions for the reversible derivative nonlinear Schrödinger equations with periodic boundary conditions. (English) Zbl 1377.37109 J. Dyn. Differ. Equations 29, No. 3, 1031-1069 (2017). MSC: 37K55 35Q41 35B15 PDFBibTeX XMLCite \textit{Z. Lou} and \textit{J. Si}, J. Dyn. Differ. Equations 29, No. 3, 1031--1069 (2017; Zbl 1377.37109) Full Text: DOI
Speck, Jared Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations. (English) Zbl 1382.35168 Anal. PDE 10, No. 8, 2001-2030 (2017). MSC: 35L72 35L80 35L15 PDFBibTeX XMLCite \textit{J. Speck}, Anal. PDE 10, No. 8, 2001--2030 (2017; Zbl 1382.35168) Full Text: DOI arXiv
Montalto, Riccardo Quasi-periodic solutions of forced Kirchhoff equation. (English) Zbl 1373.37166 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 1, Paper No. 9, 71 p. (2017). Reviewer: Evgeniy Panov (Novgorod) MSC: 37K55 35L72 35B15 PDFBibTeX XMLCite \textit{R. Montalto}, NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 1, Paper No. 9, 71 p. (2017; Zbl 1373.37166) Full Text: DOI arXiv
Speck, Jared; Holzegel, Gustav; Luk, Jonathan; Wong, Willie Stable shock formation for nearly simple outgoing plane symmetric waves. (English) Zbl 1402.35173 Ann. PDE 2, No. 2, Paper No. 10, 198 p. (2016). MSC: 35L67 35L72 35Q31 76N10 PDFBibTeX XMLCite \textit{J. Speck} et al., Ann. PDE 2, No. 2, Paper No. 10, 198 p. (2016; Zbl 1402.35173) Full Text: DOI arXiv
Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo KAM for autonomous quasi-linear perturbations of KdV. (English) Zbl 1370.37134 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1589-1638 (2016). Reviewer: Jie Liu (Jiaozuo) MSC: 37K55 37K10 35Q53 PDFBibTeX XMLCite \textit{P. Baldi} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1589--1638 (2016; Zbl 1370.37134) Full Text: DOI arXiv
Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo KAM for autonomous quasi-linear perturbations of mKdV. (English) Zbl 1339.37073 Boll. Unione Mat. Ital. 9, No. 2, 143-188 (2016). MSC: 37K55 35Q53 35B20 PDFBibTeX XMLCite \textit{P. Baldi} et al., Boll. Unione Mat. Ital. 9, No. 2, 143--188 (2016; Zbl 1339.37073) Full Text: DOI arXiv
Berti, Massimiliano KAM for PDEs. (English) Zbl 1339.37075 Boll. Unione Mat. Ital. 9, No. 2, 115-142 (2016). MSC: 37K55 35B20 37-02 35Q35 35Q55 PDFBibTeX XMLCite \textit{M. Berti}, Boll. Unione Mat. Ital. 9, No. 2, 115--142 (2016; Zbl 1339.37075) Full Text: DOI
Sugiyama, Yuusuke Degeneracy in finite time of 1D quasilinear wave equations. (English) Zbl 1342.35181 SIAM J. Math. Anal. 48, No. 2, 847-860 (2016). MSC: 35L72 35L15 35A01 35B40 PDFBibTeX XMLCite \textit{Y. Sugiyama}, SIAM J. Math. Anal. 48, No. 2, 847--860 (2016; Zbl 1342.35181) Full Text: DOI
Alazard, Thomas; Baldi, Pietro Gravity capillary standing water waves. (English) Zbl 1317.35181 Arch. Ration. Mech. Anal. 217, No. 3, 741-830 (2015). MSC: 35Q31 76N10 35B10 35B65 35B32 PDFBibTeX XMLCite \textit{T. Alazard} and \textit{P. Baldi}, Arch. Ration. Mech. Anal. 217, No. 3, 741--830 (2015; Zbl 1317.35181) Full Text: DOI arXiv
Dubrovin, Boris; Grava, Tamara; Klein, Christian; Moro, Antonio On critical behaviour in systems of Hamiltonian partial differential equations. (English) Zbl 1321.35208 J. Nonlinear Sci. 25, No. 3, 631-707 (2015). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 37K05 34M55 PDFBibTeX XMLCite \textit{B. Dubrovin} et al., J. Nonlinear Sci. 25, No. 3, 631--707 (2015; Zbl 1321.35208) Full Text: DOI arXiv
Shirokoff, David; Choksi, Rustum; Nave, Jean-Christophe Sufficient conditions for global minimality of metastable states in a class of non-convex functionals: a simple approach via quadratic lower bounds. (English) Zbl 1317.49023 J. Nonlinear Sci. 25, No. 3, 539-582 (2015). MSC: 49K10 49M30 49S05 PDFBibTeX XMLCite \textit{D. Shirokoff} et al., J. Nonlinear Sci. 25, No. 3, 539--582 (2015; Zbl 1317.49023) Full Text: DOI
Saccomandi, Giuseppe; Vitolo, Raffaele On the mathematical and geometrical structure of the determining equations for shear waves in nonlinear isotropic incompressible elastodynamics. (English) Zbl 1366.74031 J. Math. Phys. 55, No. 8, 081502, 12 p. (2014). MSC: 74J30 PDFBibTeX XMLCite \textit{G. Saccomandi} and \textit{R. Vitolo}, J. Math. Phys. 55, No. 8, 081502, 12 p. (2014; Zbl 1366.74031) Full Text: DOI arXiv
Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation. (English) Zbl 1350.37076 Math. Ann. 359, No. 1-2, 471-536 (2014). MSC: 37K55 35Q53 35B25 PDFBibTeX XMLCite \textit{P. Baldi} et al., Math. Ann. 359, No. 1--2, 471--536 (2014; Zbl 1350.37076) Full Text: DOI arXiv
Berti, Massimiliano; Biasco, Luca; Procesi, Michela KAM for reversible derivative wave equations. (English) Zbl 1293.35275 Arch. Ration. Mech. Anal. 212, No. 3, 905-955 (2014). MSC: 35Q53 37K55 35B35 35B10 PDFBibTeX XMLCite \textit{M. Berti} et al., Arch. Ration. Mech. Anal. 212, No. 3, 905--955 (2014; Zbl 1293.35275) Full Text: DOI arXiv
Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo A note on KAM theory for quasi-linear and fully nonlinear forced KdV. (English) Zbl 1282.37039 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 3, 437-450 (2013). Reviewer: Natalia Bondarenko (Saratov) MSC: 37K55 35Q53 PDFBibTeX XMLCite \textit{P. Baldi} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 3, 437--450 (2013; Zbl 1282.37039) Full Text: DOI arXiv
Berti, Massimiliano; Biasco, Luca; Procesi, Michela Existence and stability of quasi-periodic solutions for derivative wave equations. (English) Zbl 1282.37040 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 2, 199-214 (2013). Reviewer: Natalia Bondarenko (Saratov) MSC: 37K55 35L05 PDFBibTeX XMLCite \textit{M. Berti} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 2, 199--214 (2013; Zbl 1282.37040) Full Text: DOI arXiv
Baldi, Pietro Periodic solutions of fully nonlinear autonomous equations of Benjamin-Ono type. (English. French summary) Zbl 1285.35090 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 1, 33-77 (2013). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q53 37K55 35B10 37K50 PDFBibTeX XMLCite \textit{P. Baldi}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 1, 33--77 (2013; Zbl 1285.35090) Full Text: DOI arXiv
Jiang, Peng; Wang, Yaguang Initial-boundary value problems and formation of singularities for one-dimensional non-relativistic radiation hydrodynamic equations. (English) Zbl 1270.35133 J. Hyperbolic Differ. Equ. 9, No. 4, 711-738 (2012). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35B44 76N15 78A40 35Q31 PDFBibTeX XMLCite \textit{P. Jiang} and \textit{Y. Wang}, J. Hyperbolic Differ. Equ. 9, No. 4, 711--738 (2012; Zbl 1270.35133) Full Text: DOI
Qu, Peng Blow-up of periodic solutions to linearly degenerate quasilinear hyperbolic systems. (English) Zbl 1252.35190 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 18, 6520-6523 (2012). MSC: 35L60 35B10 35L45 35L50 35B44 35L80 PDFBibTeX XMLCite \textit{P. Qu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 18, 6520--6523 (2012; Zbl 1252.35190) Full Text: DOI
Jiang, Peng; Yin, Junping Formation of singularities of solutions to the three-dimensional non-relativistic radiation hydrodynamic equations. (English) Zbl 1251.35070 J. Math. Anal. Appl. 395, No. 1, 241-250 (2012). MSC: 35Q30 35A20 35B30 PDFBibTeX XMLCite \textit{P. Jiang} and \textit{J. Yin}, J. Math. Anal. Appl. 395, No. 1, 241--250 (2012; Zbl 1251.35070) Full Text: DOI
Chabassier, J.; Joly, P. Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string. (English) Zbl 1231.74146 Comput. Methods Appl. Mech. Eng. 199, No. 45-48, 2779-2795 (2010). MSC: 74H15 74H45 74K05 74S05 PDFBibTeX XMLCite \textit{J. Chabassier} and \textit{P. Joly}, Comput. Methods Appl. Mech. Eng. 199, No. 45--48, 2779--2795 (2010; Zbl 1231.74146) Full Text: DOI
Wang, Zenggui Blow-up of periodic solutions to reducible quasilinear hyperbolic systems. (English) Zbl 1197.35160 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 3, 704-712 (2010). MSC: 35L60 35B10 35L50 35B44 PDFBibTeX XMLCite \textit{Z. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 3, 704--712 (2010; Zbl 1197.35160) Full Text: DOI
Kong, De-Xing; Wang, Zeng-Gui Formation of singularities in the motion of plane curves under hyperbolic mean curvature flow. (English) Zbl 1195.53093 J. Differ. Equations 247, No. 6, 1694-1719 (2009). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 53C44 53A04 35L45 35L70 PDFBibTeX XMLCite \textit{D.-X. Kong} and \textit{Z.-G. Wang}, J. Differ. Equations 247, No. 6, 1694--1719 (2009; Zbl 1195.53093) Full Text: DOI
Zhang, Zhifei; Yao, Pengfei Global smooth solutions and stabilization of nonlinear elastodynamic systems with locally distributed dissipation. (English) Zbl 1166.93020 Syst. Control Lett. 58, No. 7, 491-498 (2009). MSC: 93D15 93C20 35J50 93C10 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{P. Yao}, Syst. Control Lett. 58, No. 7, 491--498 (2009; Zbl 1166.93020) Full Text: DOI
Hong, John M.; Hsu, Cheng-Hsiung; Su, Ying-Chin Global solutions for initial-boundary value problem of quasilinear wave equations. (English) Zbl 1157.35068 J. Differ. Equations 245, No. 1, 223-248 (2008). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L70 35L20 35L60 35L65 35L67 PDFBibTeX XMLCite \textit{J. M. Hong} et al., J. Differ. Equations 245, No. 1, 223--248 (2008; Zbl 1157.35068) Full Text: DOI
Manfrin, Renato On the classical solutions of the motion of an elastic string in an \(n\)-dimensional space. (English) Zbl 1151.35054 J. Hyperbolic Differ. Equ. 4, No. 4, 705-728 (2007). Reviewer: Jerzy Gawinecki (Warszawa) MSC: 35L65 35L67 74K05 35A20 35L60 PDFBibTeX XMLCite \textit{R. Manfrin}, J. Hyperbolic Differ. Equ. 4, No. 4, 705--728 (2007; Zbl 1151.35054) Full Text: DOI
Yao, Peng-Fei Global smooth solutions for the quasilinear wave equation with boundary dissipation. (English) Zbl 1214.35037 J. Differ. Equations 241, No. 1, 62-93 (2007). Reviewer: Michael I. Gil’ (Beer-Sheva) MSC: 35L70 35B35 35L65 58J45 35L20 PDFBibTeX XMLCite \textit{P.-F. Yao}, J. Differ. Equations 241, No. 1, 62--93 (2007; Zbl 1214.35037) Full Text: DOI
Chang, Yuan; Hong, John M.; Hsu, Cheng-Hsiung Globally Lipschitz continuous solutions to a class of quasilinear wave equations. (English) Zbl 1120.35065 J. Differ. Equations 236, No. 2, 504-531 (2007). Reviewer: Thomas Sonar (Braunschweig) MSC: 35L60 35L65 35L67 35A35 35L45 PDFBibTeX XMLCite \textit{Y. Chang} et al., J. Differ. Equations 236, No. 2, 504--531 (2007; Zbl 1120.35065) Full Text: DOI
Yao, Peng-Fei An energy-preserving nonlinear system modeling a string with input and output on the boundary. (English) Zbl 1112.35122 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 10, 2128-2139 (2007). MSC: 35L60 35L50 74K05 PDFBibTeX XMLCite \textit{P.-F. Yao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 10, 2128--2139 (2007; Zbl 1112.35122) Full Text: DOI
Hao, Jianghao; Li, Shengjia Global solutions and blow-up solutions for a nonlinear string with boundary input and output. (English) Zbl 1107.35391 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 1, 131-137 (2007). MSC: 35L70 35L20 74K05 35B05 PDFBibTeX XMLCite \textit{J. Hao} and \textit{S. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 1, 131--137 (2007; Zbl 1107.35391) Full Text: DOI
Bressan, Alberto; Zheng, Yuxi Conservative solutions to a nonlinear variational wave equation. (English) Zbl 1117.35047 Commun. Math. Phys. 266, No. 2, 471-497 (2006). Reviewer: Marie Kopáčková (Praha) MSC: 35L70 35L15 49K20 PDFBibTeX XMLCite \textit{A. Bressan} and \textit{Y. Zheng}, Commun. Math. Phys. 266, No. 2, 471--497 (2006; Zbl 1117.35047) Full Text: DOI arXiv
Manfrin, Renato On the breakdown of classical solutions of the planar motion of an elastic string. (English) Zbl 1058.35159 Bull. Sci. Math. 128, No. 4, 253-263 (2004). MSC: 35L65 35L60 74B20 74H35 PDFBibTeX XMLCite \textit{R. Manfrin}, Bull. Sci. Math. 128, No. 4, 253--263 (2004; Zbl 1058.35159) Full Text: DOI
Zhang, Weiguo Cauchy problem for quasilinear hyperbolic systems with higher order dissipative terms. (English) Zbl 1028.35098 Acta Math. Appl. Sin., Engl. Ser. 19, No. 1, 71-82 (2003). MSC: 35L60 35L45 35L70 PDFBibTeX XMLCite \textit{W. Zhang}, Acta Math. Appl. Sin., Engl. Ser. 19, No. 1, 71--82 (2003; Zbl 1028.35098) Full Text: DOI
Manfrin, Renato On the breakdown of solutions to \(N\times N\) quasilinear hyperbolic systems. (English) Zbl 1028.35097 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 1, 143-172 (2003). Reviewer: Petar Popivanov (Sofia) MSC: 35L60 35L67 35B65 35A21 PDFBibTeX XMLCite \textit{R. Manfrin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 1, 143--172 (2003; Zbl 1028.35097) Full Text: DOI
Manfrin, Renato Formation of singularities for certain hyperbolic systems in one space dimension. (English) Zbl 1106.35315 J. Math. Anal. Appl. 276, No. 1, 196-212 (2002). MSC: 35L60 35A21 PDFBibTeX XMLCite \textit{R. Manfrin}, J. Math. Anal. Appl. 276, No. 1, 196--212 (2002; Zbl 1106.35315) Full Text: DOI
Zhang, Ping; Zheng, Yuxi Rarefactive solutions to a nonlinear variational wave equation of liquid crystals. (English) Zbl 0989.35112 Commun. Partial Differ. Equations 26, No. 3-4, 381-419 (2001). Reviewer: Stephan Paul Banks (Sheffield) MSC: 35Q35 76A15 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{Y. Zheng}, Commun. Partial Differ. Equations 26, No. 3--4, 381--419 (2001; Zbl 0989.35112) Full Text: DOI
Zeng, Youdong; Chen, Zuchi Behaviour of solutions of the quasilinear wave equations for mechanism with a boundary piston possessing mass. (English) Zbl 0983.35093 Acta Math. Appl. Sin., Engl. Ser. 17, No. 2, 247-254 (2001). MSC: 35L70 35B40 35L20 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Z. Chen}, Acta Math. Appl. Sin., Engl. Ser. 17, No. 2, 247--254 (2001; Zbl 0983.35093) Full Text: DOI
Glazatov, S. N. A periodic boundary value problem for the equation of transonic gas dynamics. (English. Russian original) Zbl 0917.35098 Sib. Math. J. 40, No. 1, 46-56 (1999); translation from Sib. Mat. Zh. 40, No. 1, 57-68 (1999). Reviewer: A.I.Kozhanov (Novosibirsk) MSC: 35Q35 76H05 35M10 PDFBibTeX XMLCite \textit{S. N. Glazatov}, Sib. Math. J. 40, No. 1, 57--68 (1999; Zbl 0917.35098); translation from Sib. Mat. Zh. 40, No. 1, 57--68 (1999) Full Text: DOI
Constantin, Adrian; Escher, Joachim Wave breaking for nonlinear nonlocal shallow water equations. (English) Zbl 0923.76025 Acta Math. 181, No. 2, 229-243 (1998). Reviewer: V.Ionescu (Bucureşti) MSC: 76B15 35Q53 35Q35 PDFBibTeX XMLCite \textit{A. Constantin} and \textit{J. Escher}, Acta Math. 181, No. 2, 229--243 (1998; Zbl 0923.76025) Full Text: DOI
Wang, Dehua; Chen, Gui-Qiang Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation. (English) Zbl 0914.35102 J. Differ. Equations 144, No. 1, 44-65 (1998). Reviewer: Th.Sonar (Hamburg) MSC: 35Q35 76N10 35B40 PDFBibTeX XMLCite \textit{D. Wang} and \textit{G.-Q. Chen}, J. Differ. Equations 144, No. 1, 44--65 (1998; Zbl 0914.35102) Full Text: DOI
Li, Ta-Tsien; Zhou, Yi; Kong, Dexing Global classical solutions for general quasilinear hyperbolic systems with decay initial data. (English) Zbl 0874.35068 Nonlinear Anal., Theory Methods Appl. 28, No. 8, 1299-1332 (1997). Reviewer: Wang Jinghua (Beijing) MSC: 35L60 35B40 35L45 PDFBibTeX XMLCite \textit{T.-T. Li} et al., Nonlinear Anal., Theory Methods Appl. 28, No. 8, 1299--1332 (1997; Zbl 0874.35068) Full Text: DOI
Bergeret, Pascale Classification of smooth solutions to \(2\times 2\) hyperbolic systems with boundary damping. (English) Zbl 0891.35083 Math. Methods Appl. Sci. 20, No. 18, 1563-1598 (1997). MSC: 35L60 35L50 74B20 PDFBibTeX XMLCite \textit{P. Bergeret}, Math. Methods Appl. Sci. 20, No. 18, 1563--1598 (1997; Zbl 0891.35083) Full Text: DOI
Dias, João-Paulo; Figueira, Mário On the blow-up of the solutions of a quasilinear wave equation with a semilinear source term. (English) Zbl 0857.35085 Math. Methods Appl. Sci. 19, No. 14, 1135-1140 (1996). MSC: 35L70 35B40 35L67 PDFBibTeX XMLCite \textit{J.-P. Dias} and \textit{M. Figueira}, Math. Methods Appl. Sci. 19, No. 14, 1135--1140 (1996; Zbl 0857.35085) Full Text: DOI
Li, Tatsien; Kong, Dexing Blow up of periodic solutions to quasilinear hyperbolic systems. (English) Zbl 0858.35016 Nonlinear Anal., Theory Methods Appl. 26, No. 11, 1779-1789 (1996). Reviewer: I.Ginchev (Varna) MSC: 35B40 35L60 35L45 PDFBibTeX XMLCite \textit{T. Li} and \textit{D. Kong}, Nonlinear Anal., Theory Methods Appl. 26, No. 11, 1779--1789 (1996; Zbl 0858.35016) Full Text: DOI
Engler, Hans Global smooth solutions for a class of parabolic integrodifferential equations. (English) Zbl 0848.45002 Trans. Am. Math. Soc. 348, No. 1, 267-290 (1996). Reviewer: G.Gripenberg (Helsinki) MSC: 45K05 45G10 PDFBibTeX XMLCite \textit{H. Engler}, Trans. Am. Math. Soc. 348, No. 1, 267--290 (1996; Zbl 0848.45002) Full Text: DOI
Alinhac, S. Exact life span and geometric explosion for quasilinear hyperbolic systems in space dimension one. (Temps de vie précisé et explosion géométrique pour des systèmes hyperboliques quasilinéaires en dimension un d’espace.) (French) Zbl 0840.35059 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 22, No. 3, 493-515 (1995). Reviewer: L.G.Vulkov (Russe) MSC: 35L60 35B40 PDFBibTeX XMLCite \textit{S. Alinhac}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 22, No. 3, 493--515 (1995; Zbl 0840.35059) Full Text: Numdam EuDML
Hong, Jiaxing The global smooth solutions of Cauchy problems for hyperbolic equation of Monge-Ampère type. (English) Zbl 0830.35082 Nonlinear Anal., Theory Methods Appl. 24, No. 12, 1649-1663 (1995). Reviewer: J.Urbas (Canberra) MSC: 35L70 35L15 PDFBibTeX XMLCite \textit{J. Hong}, Nonlinear Anal., Theory Methods Appl. 24, No. 12, 1649--1663 (1995; Zbl 0830.35082) Full Text: DOI
Heidrich, Andreas Global weak solutions to initial-boundary-value problems for the one- dimensional quasilinear wave equation with large data. (English) Zbl 0812.35076 Arch. Ration. Mech. Anal. 126, No. 4, 333-368 (1994). Reviewer: H.-D.Alber (Darmstadt) MSC: 35L65 35L50 35D10 PDFBibTeX XMLCite \textit{A. Heidrich}, Arch. Ration. Mech. Anal. 126, No. 4, 333--368 (1994; Zbl 0812.35076) Full Text: DOI
Cui, Shangbin; Qu, Changzheng Initial boundary value problems for a class of nonlinear integro-partial differential equations. (English) Zbl 0807.45007 Appl. Math. Mech., Engl. Ed. 15, No. 4, 389-404 (1994). Reviewer: S.Aniţa (Iaşi) MSC: 45K05 45G10 74K10 74H45 74Hxx PDFBibTeX XMLCite \textit{S. Cui} and \textit{C. Qu}, Appl. Math. Mech., Engl. Ed. 15, No. 4, 389--404 (1994; Zbl 0807.45007) Full Text: DOI
Öncü, T. Sabri; Moodie, T. Bryant Asymptotic analysis of a hyperbolic mixed problem in one-dimensional viscoelasticity. (English) Zbl 0790.73022 Stud. Appl. Math. 90, No. 2, 91-117 (1993). MSC: 74J10 74Hxx 45D05 PDFBibTeX XMLCite \textit{T. S. Öncü} and \textit{T. B. Moodie}, Stud. Appl. Math. 90, No. 2, 91--117 (1993; Zbl 0790.73022) Full Text: DOI
Kobayashi, Takayuki; Pecher, Hartmut; Shibata, Yoshihiro On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity. (English) Zbl 0788.35001 Math. Ann. 296, No. 2, 215-234 (1993). Reviewer: H.Pecher (Wuppertal) MSC: 35A05 35L70 74D99 35L20 PDFBibTeX XMLCite \textit{T. Kobayashi} et al., Math. Ann. 296, No. 2, 215--234 (1993; Zbl 0788.35001) Full Text: DOI EuDML
Bellout, Hamid; Bloom, Frederick Global existence and asymptotic stability of solutions to the Cauchy problem for wave propagation in nonlinear dielectric media. (English) Zbl 0782.35038 Nonlinear Anal., Theory Methods Appl. 20, No. 4, 439-460 (1993). Reviewer: A.Martynyuk (Kiev) MSC: 35L15 35A05 35B40 PDFBibTeX XMLCite \textit{H. Bellout} and \textit{F. Bloom}, Nonlinear Anal., Theory Methods Appl. 20, No. 4, 439--460 (1993; Zbl 0782.35038) Full Text: DOI
Ebin, David G.; Simanca, Santiago R. Deformations of incompressible bodies with free boundaries. (English) Zbl 0777.73007 Arch. Ration. Mech. Anal. 120, No. 1, 61-97 (1992). Reviewer: J.L.Nowinski (Newark / Delaware) MSC: 74A99 74B99 74H99 35Q72 35R35 35B30 PDFBibTeX XMLCite \textit{D. G. Ebin} and \textit{S. R. Simanca}, Arch. Ration. Mech. Anal. 120, No. 1, 61--97 (1992; Zbl 0777.73007) Full Text: DOI
Engler, Hans Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials. (English) Zbl 0723.45017 Arch. Ration. Mech. Anal. 113, No. 1, 1-38 (1991). Reviewer: O.Staffans (Espoo) MSC: 45K05 74Hxx PDFBibTeX XMLCite \textit{H. Engler}, Arch. Ration. Mech. Anal. 113, No. 1, 1--38 (1991; Zbl 0723.45017) Full Text: DOI
Jiang, Song Global existence of smooth solutions in one-dimensional nonlinear thermoelasticity. (English) Zbl 0723.35044 Proc. R. Soc. Edinb., Sect. A 115, No. 3-4, 257-274 (1990). Reviewer: H.-D.Alber (Darmstadt) MSC: 35L50 74B20 35L60 35Q72 PDFBibTeX XMLCite \textit{S. Jiang}, Proc. R. Soc. Edinb., Sect. A, Math. 115, No. 3--4, 257--274 (1990; Zbl 0723.35044) Full Text: DOI
Godin, Paul Long time behaviour of solutions to some nonlinear rotation invariant mixed problems. (English) Zbl 0676.35065 Commun. Partial Differ. Equations 14, No. 3, 299-374 (1989). Reviewer: J.Wang MSC: 35L70 35B40 35A05 35L20 35L15 PDFBibTeX XMLCite \textit{P. Godin}, Commun. Partial Differ. Equations 14, No. 3, 299--374 (1989; Zbl 0676.35065) Full Text: DOI
Bloom, F. Almost global existence in the plane wave-nonlinear dielectric interaction problem. (English) Zbl 0672.35043 Comput. Math. Appl. 15, No. 6-8, 491-510 (1988). MSC: 35L45 78A25 35B10 35A05 35B30 PDFBibTeX XMLCite \textit{F. Bloom}, Comput. Math. Appl. 15, No. 6--8, 491--510 (1988; Zbl 0672.35043) Full Text: DOI
Bloom, Frederick The influence of nonlinear conduction of singularity formation in the intense plane-wave, nonlinear dielectric interaction problem. (English) Zbl 0614.35083 Comput. Math. Appl., Part A 12, 477-489 (1986). Reviewer: N.Kazarinoff MSC: 35Q99 35A20 78A25 35B40 35F05 PDFBibTeX XMLCite \textit{F. Bloom}, Comput. Math. Appl., Part A 12, 477--489 (1986; Zbl 0614.35083) Full Text: DOI
Bloom, Frederick Nonexistence of smooth electromagnetic fields in nonlinear dielectrics: Shock development in a half-space. (English) Zbl 0603.35063 J. Math. Anal. Appl. 116, 245-261 (1986). Reviewer: P.Mahanti MSC: 35L65 35Q99 78A25 35B40 PDFBibTeX XMLCite \textit{F. Bloom}, J. Math. Anal. Appl. 116, 245--261 (1986; Zbl 0603.35063) Full Text: DOI
Dafermos, C. M. Development of singularities in the motion of materials with fading memory. (English) Zbl 0595.73026 Arch. Ration. Mech. Anal. 91, 193-205 (1986). Reviewer: Gh.Gr.Ciobanu MSC: 74J99 74B20 35L67 35L05 PDFBibTeX XMLCite \textit{C. M. Dafermos}, Arch. Ration. Mech. Anal. 91, 193--205 (1986; Zbl 0595.73026) Full Text: DOI
Sideris, Thomas C. Formation of singularities in three-dimensional compressible fluids. (English) Zbl 0606.76088 Commun. Math. Phys. 101, 475-485 (1985). Reviewer: G.Warnecke MSC: 76N10 35L65 35L60 PDFBibTeX XMLCite \textit{T. C. Sideris}, Commun. Math. Phys. 101, 475--485 (1985; Zbl 0606.76088) Full Text: DOI
Bloom, Frederick Systems of nonlinear hyperbolic equations associated with problems of classical electromagnetic theory. (English) Zbl 0581.35051 Comput. Math. Appl. 11, 261-279 (1985). Reviewer: G.Jank MSC: 35L67 78A25 PDFBibTeX XMLCite \textit{F. Bloom}, Comput. Math. Appl. 11, 261--279 (1985; Zbl 0581.35051) Full Text: DOI
Shearer, Michael The nonlinear interaction of smooth travelling waves in an elastic string. (English) Zbl 0561.73024 Wave Motion 7, 169-175 (1985). Reviewer: G.Boillat MSC: 74M20 74K05 74B20 PDFBibTeX XMLCite \textit{M. Shearer}, Wave Motion 7, 169--175 (1985; Zbl 0561.73024) Full Text: DOI
Greenberg, J. M.; Li, Tatsien The effect of boundary damping for the quasilinear wave equation. (English) Zbl 0576.35080 J. Differ. Equations 52, 66-75 (1984). MSC: 35L70 35B65 PDFBibTeX XMLCite \textit{J. M. Greenberg} and \textit{T. Li}, J. Differ. Equations 52, 66--75 (1984; Zbl 0576.35080) Full Text: DOI
Sideris, Thomas C. Formation of singularities in solutions to nonlinear hyperbolic equations. (English) Zbl 0564.35070 Arch. Ration. Mech. Anal. 86, 369-381 (1984). Reviewer: M.Tsuji MSC: 35L65 35L67 35L70 PDFBibTeX XMLCite \textit{T. C. Sideris}, Arch. Ration. Mech. Anal. 86, 369--381 (1984; Zbl 0564.35070) Full Text: DOI
Ponce, Gustavo Lower bounds for the life span of solutions of nonlinear wave equations in higher dimensions. (English) Zbl 0545.35061 Nonlinear Anal., Theory Methods Appl. 8, 577-582 (1984). Reviewer: A.L.Edelson MSC: 35L70 35B45 35A07 35L15 PDFBibTeX XMLCite \textit{G. Ponce}, Nonlinear Anal., Theory Methods Appl. 8, 577--582 (1984; Zbl 0545.35061) Full Text: DOI
Talenti, Giorgio On functions, whose lines of steepest descent bend proportionally to level lines. (English) Zbl 0542.35007 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 10, 587-605 (1983). Reviewer: R.Salvi MSC: 35A30 35J60 35A20 PDFBibTeX XMLCite \textit{G. Talenti}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 10, 587--605 (1983; Zbl 0542.35007) Full Text: Numdam EuDML
Weinitschke, Hubertus J. Elastic strings under vertical loads. (English) Zbl 0532.73051 Z. Angew. Math. Phys. 34, 218-230 (1983). Reviewer: F.Hartmann MSC: 74K05 74B20 74G30 74H25 PDFBibTeX XMLCite \textit{H. J. Weinitschke}, Z. Angew. Math. Phys. 34, 218--230 (1983; Zbl 0532.73051) Full Text: DOI
Keyfitz, Barbara L.; Kranzer, Herbert C. The Riemann problem for a class of hyperbolic conservation laws exhibiting a parabolic degeneracy. (English) Zbl 0521.35035 J. Differ. Equations 47, 35-65 (1983). MSC: 35L65 35L80 35Q15 PDFBibTeX XMLCite \textit{B. L. Keyfitz} and \textit{H. C. Kranzer}, J. Differ. Equations 47, 35--65 (1983; Zbl 0521.35035) Full Text: DOI
Alexander, J. C.; Antman, Stuart S.; Deng, Shi-tao Nonlinear eigenvalue problems for the whirling of heavy elastic strings. II: new methods of global bifurcation theory. (English) Zbl 0515.58025 Proc. R. Soc. Edinb., Sect. A 93, 197-227 (1983). MSC: 37G99 34B15 PDFBibTeX XMLCite \textit{J. C. Alexander} et al., Proc. R. Soc. Edinb., Sect. A, Math. 93, 197--227 (1983; Zbl 0515.58025) Full Text: DOI
Slemrod, M. Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity. (English) Zbl 0481.73009 Arch. Ration. Mech. Anal. 76, 97-133 (1981). MSC: 74F05 74B20 35B65 74G30 74H25 35B32 PDFBibTeX XMLCite \textit{M. Slemrod}, Arch. Ration. Mech. Anal. 76, 97--133 (1981; Zbl 0481.73009) Full Text: DOI