Li, Tong; Mathur, Nitesh Riemann problem for a non-strictly hyperbolic system in chemotaxis. (English) Zbl 1485.35287 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2173-2187 (2022). MSC: 35L45 35L60 35L65 35L67 35M31 92C17 PDF BibTeX XML Cite \textit{T. Li} and \textit{N. Mathur}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2173--2187 (2022; Zbl 1485.35287) Full Text: DOI OpenURL
Zhumagaziyev, A. Kh.; Sartabanov, Zh. A.; Sultanaev, Ya. T. On a new method for investigation of multiperiodic solutions of quasilinear strictly hyperbolic systems. (English) Zbl 1486.35291 Azerb. J. Math. 12, No. 1, 32-48 (2022). MSC: 35L60 35B10 35C15 PDF BibTeX XML Cite \textit{A. Kh. Zhumagaziyev} et al., Azerb. J. Math. 12, No. 1, 32--48 (2022; Zbl 1486.35291) Full Text: Link OpenURL
Mihail, Alexandru; Urziceanu, Silviu-Aurelian On hyperbolic affine generalized infinite iterated function systems. (English) Zbl 1439.28015 Result. Math. 75, No. 3, Paper No. 111, 20 p. (2020). MSC: 28A80 54H25 PDF BibTeX XML Cite \textit{A. Mihail} and \textit{S.-A. Urziceanu}, Result. Math. 75, No. 3, Paper No. 111, 20 p. (2020; Zbl 1439.28015) Full Text: DOI OpenURL
Sen, Anupam; Sekhar, T. Raja Delta shock wave and wave interactions in a thin film of a perfectly soluble anti-surfactant solution. (English) Zbl 1435.35233 Commun. Pure Appl. Anal. 19, No. 5, 2641-2653 (2020). MSC: 35L45 35L65 58J45 35Q35 35L67 PDF BibTeX XML Cite \textit{A. Sen} and \textit{T. R. Sekhar}, Commun. Pure Appl. Anal. 19, No. 5, 2641--2653 (2020; Zbl 1435.35233) Full Text: DOI OpenURL
Bürger, Raimund; Diehl, Stefan; Martí, María Del Carmen A system of conservation laws with discontinuous flux modelling flotation with sedimentation. (English) Zbl 1461.76473 IMA J. Appl. Math. 84, No. 5, 930-973 (2019). MSC: 76T20 76T10 76M99 PDF BibTeX XML Cite \textit{R. Bürger} et al., IMA J. Appl. Math. 84, No. 5, 930--973 (2019; Zbl 1461.76473) Full Text: DOI OpenURL
Keita, Sana; Bourgault, Yves Eulerian models with particle pressure for air-particle flows. (English) Zbl 1462.76191 Eur. J. Mech., B, Fluids 78, 263-275 (2019). MSC: 76T15 76N15 PDF BibTeX XML Cite \textit{S. Keita} and \textit{Y. Bourgault}, Eur. J. Mech., B, Fluids 78, 263--275 (2019; Zbl 1462.76191) Full Text: DOI OpenURL
Zhura, N. A.; Polunin, V. A. Dirichlet type problems for first order strictly hyperbolic systems with constant coefficients in a two-dimensional domain. (Russian, English) Zbl 1438.35266 Sib. Zh. Chist. Prikl. Mat. 17, No. 3, 17-32 (2017); translation in J. Math. Sci., New York 237, No. 4, 595-609 (2019). MSC: 35L50 35E20 PDF BibTeX XML Cite \textit{N. A. Zhura} and \textit{V. A. Polunin}, Sib. Zh. Chist. Prikl. Mat. 17, No. 3, 17--32 (2017; Zbl 1438.35266); translation in J. Math. Sci., New York 237, No. 4, 595--609 (2019) Full Text: DOI OpenURL
Sun, Meina Structural stability of solutions to the Riemann problem for a non-strictly hyperbolic system with flux approximation. (English) Zbl 1342.35177 Electron. J. Differ. Equ. 2016, Paper No. 126, 16 p. (2016). MSC: 35L65 35L67 35B30 PDF BibTeX XML Cite \textit{M. Sun}, Electron. J. Differ. Equ. 2016, Paper No. 126, 16 p. (2016; Zbl 1342.35177) Full Text: EMIS OpenURL
Li, Xuefeng; Saxton, Katarzyna Non-strictly hyperbolic systems, singularity and bifurcation. (English) Zbl 1326.65110 J. Sci. Comput. 64, No. 3, 696-720 (2015). MSC: 65M06 35L65 35B32 PDF BibTeX XML Cite \textit{X. Li} and \textit{K. Saxton}, J. Sci. Comput. 64, No. 3, 696--720 (2015; Zbl 1326.65110) Full Text: DOI OpenURL
Miculescu, Radu; Mihail, Alexandru Alternative characterization of hyperbolic affine infinite iterated function systems. (English) Zbl 1309.28010 J. Math. Anal. Appl. 407, No. 1, 56-68 (2013). MSC: 28A80 54H20 PDF BibTeX XML Cite \textit{R. Miculescu} and \textit{A. Mihail}, J. Math. Anal. Appl. 407, No. 1, 56--68 (2013; Zbl 1309.28010) Full Text: DOI OpenURL
Kmit’, I. Ya.; Recke, L. Fredholm property of periodic problems for systems of travelling-wave equations. (Ukrainian. English summary) Zbl 1249.35200 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2011, No. 11, 20-26 (2011). MSC: 35L05 35C07 PDF BibTeX XML Cite \textit{I. Ya. Kmit'} and \textit{L. Recke}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2011, No. 11, 20--26 (2011; Zbl 1249.35200) OpenURL
Mitrovic, D.; Bojkovic, V.; Danilov, V. G. Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process. (English) Zbl 1189.35178 Math. Methods Appl. Sci. 33, No. 7, 904-921 (2010). MSC: 35L65 35L67 35Q35 PDF BibTeX XML Cite \textit{D. Mitrovic} et al., Math. Methods Appl. Sci. 33, No. 7, 904--921 (2010; Zbl 1189.35178) Full Text: DOI OpenURL
Godvik, Marte; Hanche-Olsen, Harald Car-following and the macroscopic Aw-Rascle traffic flow model. (English) Zbl 1189.35177 Discrete Contin. Dyn. Syst., Ser. B 13, No. 2, 279-303 (2010). MSC: 35L65 35L45 35L67 35L80 90B20 39A12 PDF BibTeX XML Cite \textit{M. Godvik} and \textit{H. Hanche-Olsen}, Discrete Contin. Dyn. Syst., Ser. B 13, No. 2, 279--303 (2010; Zbl 1189.35177) Full Text: DOI OpenURL
Kucherenko, V. V.; Krivko, A. V. Existence theorem for hyperbolic systems with a multiplicity change point of at most third order. (English. Russian original) Zbl 1196.35131 Math. Notes 85, No. 1, 128-132 (2009); translation from Mat. Zametki 85, No. 1, 139-143 (2009). MSC: 35L45 35S10 35R25 PDF BibTeX XML Cite \textit{V. V. Kucherenko} and \textit{A. V. Krivko}, Math. Notes 85, No. 1, 128--132 (2009; Zbl 1196.35131); translation from Mat. Zametki 85, No. 1, 139--143 (2009) Full Text: DOI OpenURL
Godvik, Marte; Hanche-Olsen, Harald Existence of solutions for the Aw-Rascle traffic flow model with vacuum. (English) Zbl 1185.35144 J. Hyperbolic Differ. Equ. 5, No. 1, 45-63 (2008). MSC: 35L80 35L45 35L65 35L67 90B20 PDF BibTeX XML Cite \textit{M. Godvik} and \textit{H. Hanche-Olsen}, J. Hyperbolic Differ. Equ. 5, No. 1, 45--63 (2008; Zbl 1185.35144) Full Text: DOI OpenURL
Li, Ta-Tsien; Peng, Yue-Jun; Yang, Yong-Fu; Zhou, Yi Mechanism of the formation of singularities for quasilinear hyperbolic systems with linearly degenerate characteristic fields. (English) Zbl 1209.35076 Math. Methods Appl. Sci. 31, No. 2, 193-227 (2008). MSC: 35L50 35Q35 PDF BibTeX XML Cite \textit{T.-T. Li} et al., Math. Methods Appl. Sci. 31, No. 2, 193--227 (2008; Zbl 1209.35076) Full Text: DOI OpenURL
Ancona, Fabio; Marson, Andrea Asymptotic stabilization of systems of conservation laws by controls acting at a single boundary point. (English) Zbl 1128.35069 Ancona, Fabio (ed.) et al., Control methods in PDE-dynamical systems. AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, July 3–7, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3766-5/pbk). Contemporary Mathematics 426, 1-43 (2007). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 35L65 35B37 35B20 35B30 93D20 PDF BibTeX XML Cite \textit{F. Ancona} and \textit{A. Marson}, Contemp. Math. 426, 1--43 (2007; Zbl 1128.35069) OpenURL
Andrianov, Nikolai Performance of numerical methods on the non-unique solution to the Riemann problem for the shallow water equations. (English) Zbl 1134.76402 Int. J. Numer. Methods Fluids 47, No. 8-9, 825-831 (2005). MSC: 76M20 65M99 76B15 PDF BibTeX XML Cite \textit{N. Andrianov}, Int. J. Numer. Methods Fluids 47, No. 8--9, 825--831 (2005; Zbl 1134.76402) Full Text: DOI OpenURL
Zhou, Yi Global classical solutions to quasilinear hyperbolic systems with weak linear degeneracy. (English) Zbl 1059.35078 Chin. Ann. Math., Ser. B 25, No. 1, 37-56 (2004). MSC: 35L60 35L45 35A05 PDF BibTeX XML Cite \textit{Y. Zhou}, Chin. Ann. Math., Ser. B 25, No. 1, 37--56 (2004; Zbl 1059.35078) Full Text: DOI OpenURL
LeFloch, Philippe G.; Mai Duc Thanh The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. (English) Zbl 1091.35044 Commun. Math. Sci. 1, No. 4, 763-797 (2003). Reviewer: Chen Shuxing (Shanghai) MSC: 35L80 35L65 76N10 76L05 35L67 PDF BibTeX XML Cite \textit{P. G. LeFloch} and \textit{Mai Duc Thanh}, Commun. Math. Sci. 1, No. 4, 763--797 (2003; Zbl 1091.35044) Full Text: DOI OpenURL
Bianchini, Stefano BV solutions of semidiscrete upwind scheme. (English) Zbl 1064.65104 Hou, Thomas Y. (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25–29, 2002. Berlin: Springer (ISBN 3-540-44333-9/hbk). 135-142 (2003). MSC: 65M20 65M06 35L65 76M20 PDF BibTeX XML Cite \textit{S. Bianchini}, in: Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25--29, 2002. Berlin: Springer. 135--142 (2003; Zbl 1064.65104) OpenURL
Bianchini, Stefano BV solutions of the semidiscrete upwind scheme. (English) Zbl 1024.65087 Arch. Ration. Mech. Anal. 167, No. 1, 1-81 (2003). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M20 65M06 65M12 35L65 PDF BibTeX XML Cite \textit{S. Bianchini}, Arch. Ration. Mech. Anal. 167, No. 1, 1--81 (2003; Zbl 1024.65087) Full Text: DOI OpenURL
Maugin, G. A.; Christov, C. I. Nonlinear duality between elastic waves and quasi-particles. (English) Zbl 1026.74041 Christov, C. I. (ed.) et al., Selected topics in nonlinear wave mechanics. Boston: Birkhäuser. 117-160 (2002). Reviewer: Dimitar A.Kolev (Sofia) MSC: 74J35 35L65 74B20 PDF BibTeX XML Cite \textit{G. A. Maugin} and \textit{C. I. Christov}, in: Selected topics in nonlinear wave mechanics. Boston: Birkhäuser. 117--160 (2002; Zbl 1026.74041) OpenURL
Colombini, Ferruccio; Del Santo, Daniele Blow-up for hyperbolic systems in diagonal form. (English) Zbl 0994.35090 NoDEA, Nonlinear Differ. Equ. Appl. 8, No. 4, 465-472 (2001). Reviewer: Petar Popivanov (Sofia) MSC: 35L65 35L67 35B40 PDF BibTeX XML Cite \textit{F. Colombini} and \textit{D. Del Santo}, NoDEA, Nonlinear Differ. Equ. Appl. 8, No. 4, 465--472 (2001; Zbl 0994.35090) Full Text: DOI OpenURL
Rosso, Fabio; Sona, Giuliano Gravity-driven separation of oil-water dispersions. (English) Zbl 0984.76094 Adv. Math. Sci. Appl. 11, No. 1, 127-151 (2001). MSC: 76T20 35Q35 86A05 PDF BibTeX XML Cite \textit{F. Rosso} and \textit{G. Sona}, Adv. Math. Sci. Appl. 11, No. 1, 127--151 (2001; Zbl 0984.76094) OpenURL
Antoine, Xavier Microlocal diagonalization of strictly hyperbolic pseudodifferential systems and application to the design of radiation conditions in electromagnetism. (English) Zbl 0983.35138 SIAM J. Appl. Math. 61, No. 6, 1877-1905 (2001). MSC: 35Q60 35S05 35L50 47G30 78A45 PDF BibTeX XML Cite \textit{X. Antoine}, SIAM J. Appl. Math. 61, No. 6, 1877--1905 (2001; Zbl 0983.35138) Full Text: DOI OpenURL
Kong, Dexing Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data. (English) Zbl 0961.35085 Chin. Ann. Math., Ser. B 21, No. 4, 413-440 (2000). Reviewer: Marie Kopáčková (Praha) MSC: 35L60 35B45 35L45 35L67 35L80 PDF BibTeX XML Cite \textit{D. Kong}, Chin. Ann. Math., Ser. B 21, No. 4, 413--440 (2000; Zbl 0961.35085) Full Text: DOI OpenURL
Piskorek, Adam; Szymaniec, Arkadiusz Local in time existence of solution to the Dirichlet initial-boundary value problem in nonlinear hypoelsticity. (English) Zbl 0964.35007 Demonstr. Math. 33, No. 3, 503-515 (2000). MSC: 35A07 74H20 74H25 74H30 35L60 35L50 PDF BibTeX XML Cite \textit{A. Piskorek} and \textit{A. Szymaniec}, Demonstr. Math. 33, No. 3, 503--515 (2000; Zbl 0964.35007) Full Text: DOI OpenURL
Cordes, H. O. On Dirac observables. (English) Zbl 0964.46042 Balakrishnan, A. V. (ed.), Semigroups of operators: theory and applications. Proceedings of the international conference in Newport Beach, CA, USA, December 14-18, 1998. Basel: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 42, 61-77 (2000). MSC: 46L60 47L60 81P15 81P10 PDF BibTeX XML Cite \textit{H. O. Cordes}, Prog. Nonlinear Differ. Equ. Appl. 42, 61--77 (2000; Zbl 0964.46042) OpenURL
Antoine, X.; Barucq, H. A diagonalization method for first-order strictly hyperbolic pseudodifferential systems. Application to the construction of radiation boundary conditions. (English) Zbl 1034.35170 Madaune-Tort, Monique (ed.) et al., Proceedings of the 5th Zaragoza-Pau conference on applied mathematics and statistics, Jaca, Spain, September 15–16, 1997. Zaragoza: Universidad de Zaragoza (ISBN 84-89513-94-5). Publ. Semin. Mat. García de Galdeano, Serie II 20, 85-92 (1999). MSC: 35S15 35L50 47G30 78A45 PDF BibTeX XML Cite \textit{X. Antoine} and \textit{H. Barucq}, in: Actas de las V jornadas Zaragoza-Pau de matemática aplicada y estadísta. Zaragoza: Universidad de Zaragoza. 85--92 (1999; Zbl 1034.35170) OpenURL
Pilipović, S.; Stojanović, M. \(\mathcal G\)-quasiasymptotics at infinity. (English) Zbl 0993.46022 Acta Math. Hung. 84, No. 1-2, 115-127 (1999). MSC: 46F30 PDF BibTeX XML Cite \textit{S. Pilipović} and \textit{M. Stojanović}, Acta Math. Hung. 84, No. 1--2, 115--127 (1999; Zbl 0993.46022) Full Text: DOI OpenURL
Ding, Xiaqi; Luo, Peizhu Generalized expansions in Hilbert space. (English) Zbl 0938.35092 Acta Math. Sci. (Engl. Ed.) 19, No. 3, 241-250 (1999). MSC: 35L60 35A35 PDF BibTeX XML Cite \textit{X. Ding} and \textit{P. Luo}, Acta Math. Sci. (Engl. Ed.) 19, No. 3, 241--250 (1999; Zbl 0938.35092) OpenURL
Tzavaras, Athanasios E. Materials with internal variables and relaxation to conservation laws. (English) Zbl 0973.74005 Arch. Ration. Mech. Anal. 146, No. 2, 129-155 (1999). Reviewer: G.A.Maugin (Paris) MSC: 74A15 74D10 35L65 74A20 PDF BibTeX XML Cite \textit{A. E. Tzavaras}, Arch. Ration. Mech. Anal. 146, No. 2, 129--155 (1999; Zbl 0973.74005) Full Text: DOI OpenURL
Jäpel, Irg Existence theory to the equations in viscoelasticity at finite deformations. (English) Zbl 0918.73029 ZAMM, Z. Angew. Math. Mech. 78, Suppl. 3, S953-S954 (1998). MSC: 74D10 35Q72 PDF BibTeX XML Cite \textit{I. Jäpel}, ZAMM, Z. Angew. Math. Mech. 78, S953--S954 (1998; Zbl 0918.73029) Full Text: DOI OpenURL
Kharibegashvili, S. S. Boundary value problems for a class of systems of second-order partial differential equations. (English. Russian original) Zbl 0952.35070 Differ. Equations 34, No. 1, 117-125 (1998); translation from Differ. Uravn. 34, No. 1, 114-122 (1998). Reviewer: Valentin Chernyatin (Szczecin) MSC: 35L55 35L20 35D05 PDF BibTeX XML Cite \textit{S. S. Kharibegashvili}, Differ. Equations 34, No. 1, 117--125 (1998; Zbl 0952.35070); translation from Differ. Uravn. 34, No. 1, 114--122 (1998) OpenURL
Alt, Hans Wilhelm An evolution principle and the existence of entropy. First order systems. (English) Zbl 0906.73005 Contin. Mech. Thermodyn. 10, No. 2, 81-106 (1998). MSC: 74A15 80A05 PDF BibTeX XML Cite \textit{H. W. Alt}, Contin. Mech. Thermodyn. 10, No. 2, 81--106 (1998; Zbl 0906.73005) Full Text: DOI OpenURL
Pilipović, S.; Stojanović, M. On the behaviour of Colombeau’s generalized functions at a point. Applications to semilinear systems. (English) Zbl 0893.46029 Publ. Math. Debr. 51, No. 1-2, 111-126 (1997). Reviewer: Lajos Molnár (Debrecen) MSC: 46F05 46F10 46F99 35L40 PDF BibTeX XML Cite \textit{S. Pilipović} and \textit{M. Stojanović}, Publ. Math. Debr. 51, No. 1--2, 111--126 (1997; Zbl 0893.46029) OpenURL
Hunter, John K. Nonlinear wave diffraction. (English) Zbl 0893.35114 Colombini, Ferruccio (ed.) et al., Geometrical optics and related topics. Selected papers of the meeting, Cortona, Italy, September 1996. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 32, 221-243 (1997). Reviewer: M.Tsuji (Kyoto) MSC: 35Q53 35L65 65M99 65N99 PDF BibTeX XML Cite \textit{J. K. Hunter}, Prog. Nonlinear Differ. Equ. Appl. 32, 221--243 (1997; Zbl 0893.35114) OpenURL
Wang, Zhen; Huang, Feimin; Ding, Xiaqi On the Cauchy problem of transportation equations. (English) Zbl 0882.35077 Acta Math. Appl. Sin., Engl. Ser. 13, No. 2, 113-122 (1997). MSC: 35L65 35D05 PDF BibTeX XML Cite \textit{Z. Wang} et al., Acta Math. Appl. Sin., Engl. Ser. 13, No. 2, 113--122 (1997; Zbl 0882.35077) Full Text: DOI OpenURL
Amadori, Debora; Colombo, Rinaldo M. Continuous dependence for \(2 \times 2\) conservation laws with boundary. (English) Zbl 0884.35091 J. Differ. Equations 138, No. 2, 229-266 (1997). Reviewer: A.Doktor (Praha) MSC: 35L65 35B30 PDF BibTeX XML Cite \textit{D. Amadori} and \textit{R. M. Colombo}, J. Differ. Equations 138, No. 2, 229--266 (1997; Zbl 0884.35091) Full Text: DOI OpenURL
Gisclon, Marguerite; Serre, Denis Boundary value problem for a strictly hyperbolic system related with the Godunov scheme. (Conditions aux limites pour un système strictement hyperbolique fournies, par le schéma de Godunov.) (French) Zbl 0873.65087 RAIRO, Modélisation Math. Anal. Numér. 31, No. 3, 359-380 (1997). Reviewer: S.Benzoni (Lyon) MSC: 65M06 76M20 76N15 65M12 35L65 PDF BibTeX XML Cite \textit{M. Gisclon} and \textit{D. Serre}, RAIRO, Modélisation Math. Anal. Numér. 31, No. 3, 359--380 (1997; Zbl 0873.65087) Full Text: DOI EuDML OpenURL
Gonthier, K. A.; Powers, J. M. A numerical investigation of transient detonation in granulated material. (English) Zbl 0867.76057 Shock Waves 6, No. 4, 183-195 (1996). MSC: 76M20 76V05 76T99 76L05 PDF BibTeX XML Cite \textit{K. A. Gonthier} and \textit{J. M. Powers}, Shock Waves 6, No. 4, 183--195 (1996; Zbl 0867.76057) Full Text: DOI OpenURL
Chen, Gui-Qiang; LeFloch, Philippe G. Entropy flux-splittings for hyperbolic conservation laws. I: General framework. (English) Zbl 0833.35088 Commun. Pure Appl. Math. 48, No. 7, 691-729 (1995). Reviewer: Gui-Qiang Chen (Chicago) MSC: 35L65 65M12 76N15 PDF BibTeX XML Cite \textit{G.-Q. Chen} and \textit{P. G. LeFloch}, Commun. Pure Appl. Math. 48, No. 7, 691--729 (1995; Zbl 0833.35088) Full Text: DOI OpenURL
Parmeggiani, Alberto On the propagation of smoothness for semilinear systems of Maxwell-Klein- Gordon type. (English) Zbl 0805.35134 Ann. Mat. Pura Appl., IV. Ser. 165, 159-168 (1993). MSC: 35Q60 35L30 35B65 PDF BibTeX XML Cite \textit{A. Parmeggiani}, Ann. Mat. Pura Appl. (4) 165, 159--168 (1993; Zbl 0805.35134) Full Text: DOI OpenURL
Sablé-Tougeron, Monique Multidimensional gradient waves. (Ondes de gradients multidimensionnelles.) (French) Zbl 0797.35110 Mem. Am. Math. Soc. 511, 93 p. (1993). Reviewer: I.Vrabie (Iaşi) MSC: 35L60 35L67 PDF BibTeX XML Cite \textit{M. Sablé-Tougeron}, Ondes de gradients multidimensionnelles. Providence, RI: American Mathematical Society (AMS) (1993; Zbl 0797.35110) Full Text: DOI OpenURL
Yoshikawa, Atsushi Solutions containing a large parameter of a quasi-linear hyperbolic system of equations and their nonlinear geometric optics approximation. (English) Zbl 0794.35099 Trans. Am. Math. Soc. 340, No. 1, 103-126 (1993). MSC: 35L60 41A60 41A63 PDF BibTeX XML Cite \textit{A. Yoshikawa}, Trans. Am. Math. Soc. 340, No. 1, 103--126 (1993; Zbl 0794.35099) Full Text: DOI OpenURL
Szepessy, Anders; Xin, Zhouping Nonlinear stability of viscous shock waves. (English) Zbl 0803.35097 Arch. Ration. Mech. Anal. 122, No. 1, 53-103 (1993). MSC: 35L70 76L05 35L67 PDF BibTeX XML Cite \textit{A. Szepessy} and \textit{Z. Xin}, Arch. Ration. Mech. Anal. 122, No. 1, 53--103 (1993; Zbl 0803.35097) Full Text: DOI OpenURL
Piriou, Alain Symbole principal de la solution du problème de Cauchy semi-linéaire à donnée initiale conormale. (Principal symbol for the solution of the semi-linear Cauchy problem with conormal initial data). (French) Zbl 0783.35033 C. R. Acad. Sci., Paris, Sér. I 316, No. 5, 457-460 (1993). MSC: 35L60 35S50 PDF BibTeX XML Cite \textit{A. Piriou}, C. R. Acad. Sci., Paris, Sér. I 316, No. 5, 457--460 (1993; Zbl 0783.35033) OpenURL
Langseth, Jan Olav; Risebro, Nils Henrik; Tveito, Aslak A conservative front tracking scheme for 1D hyperbolic conservation laws. (English) Zbl 0964.65517 Donato, Andrea (ed.) et al., Nonlinear hyperbolic problems: Theoretical, applied, and computational aspects. Proceedings of the 4th international conference on Hyperbolic problems held in Taormina, Italy, April 3-8, 1992. Braunschweig: Vieweg. Notes Numer. Fluid Mech. 43, 385-392 (1993). MSC: 65M06 76M20 76N15 35L65 76S05 PDF BibTeX XML Cite \textit{J. O. Langseth} et al., in: Nonlinear hyperbolic problems: Theoretical, applied, and computational aspects. Proceedings of the 4th international conference on Hyperbolic problems held in Taormina, Italy, April 3--8, 1992. Braunschweig: Vieweg. 385--392 (1993; Zbl 0964.65517) OpenURL
Lin, Peixiong Young measures and an application of compensated compactness to one- dimensional nonlinear elastodynamics. (English) Zbl 0761.35061 Trans. Am. Math. Soc. 329, No. 1, 377-413 (1992). Reviewer: G.Geymonat (Cachan) MSC: 35L65 74B20 35A35 35B25 35D05 PDF BibTeX XML Cite \textit{P. Lin}, Trans. Am. Math. Soc. 329, No. 1, 377--413 (1992; Zbl 0761.35061) Full Text: DOI OpenURL
Liu, Fagui; Yang, Zejiang Formation of singularities of solutions for Cauchy problem of quasilinear hyperbolic systems with dissipative terms. (English) Zbl 0763.35059 J. Partial Differ. Equations 5, No. 1, 79-89 (1992). Reviewer: M.Tsuji (Kyoto) MSC: 35L65 35L45 35A20 35L67 35B65 PDF BibTeX XML Cite \textit{F. Liu} and \textit{Z. Yang}, J. Partial Differ. Equations 5, No. 1, 79--89 (1992; Zbl 0763.35059) OpenURL
Li, Caizhong; Yang, Zejiang Existence of a global smooth solution of the Cauchy problem for a class of quasilinear equations with dissipation. (Chinese. English summary) Zbl 0770.35046 J. Math., Wuhan Univ. 11, No. 2, 133-139 (1991). MSC: 35L70 35A05 35B65 PDF BibTeX XML Cite \textit{C. Li} and \textit{Z. Yang}, J. Math., Wuhan Univ. 11, No. 2, 133--139 (1991; Zbl 0770.35046) OpenURL
Schochet, Steven Glimm’s scheme for systems with almost-planar interactions. (English) Zbl 0746.35022 Commun. Partial Differ. Equations 16, No. 8-9, 1423-1440 (1991). Reviewer: K.Zlateva (Russe) MSC: 35L65 65M06 35L80 65M99 65N99 PDF BibTeX XML Cite \textit{S. Schochet}, Commun. Partial Differ. Equations 16, No. 8--9, 1423--1440 (1991; Zbl 0746.35022) Full Text: DOI OpenURL
Le Floch, Philippe; Li, Tatsien A global asymptotic expansion for the solution to the generalized Riemann problem. (English) Zbl 0731.35006 Asymptotic Anal. 3, No. 4, 321-340 (1990). Reviewer: Y.R.Romanovsky (Pereslavl-Zalessky) MSC: 35B30 35L65 76L05 PDF BibTeX XML Cite \textit{P. Le Floch} and \textit{T. Li}, Asymptotic Anal. 3, No. 4, 321--340 (1990; Zbl 0731.35006) OpenURL
Wegner, J. L.; Haddow, J. B. A note on plane wave propagation in a linear viscoelastic solid. (English) Zbl 0716.73014 Int. J. Eng. Sci. 27, No. 12, 1545-1551 (1989). MSC: 74J10 74D05 74D10 35L05 PDF BibTeX XML Cite \textit{J. L. Wegner} and \textit{J. B. Haddow}, Int. J. Eng. Sci. 27, No. 12, 1545--1551 (1989; Zbl 0716.73014) Full Text: DOI OpenURL
Métivier, Guy; Rauch, Jeffrey The interaction of two progressing waves. (English) Zbl 0697.35093 Nonlinear hyperbolic problems, Proc. Workshop, Bordeaux/Fr. 1988, Lect. Notes Math. 1402, 216-226 (1989). MSC: 35L75 35B99 PDF BibTeX XML OpenURL
Li, Caizhong; Yan, Guozheng; Zhang, Yuping Convergence of approximate solutions for general 2\(\times 2\) strictly hyperbolic inhomogeneous system of equations. (Chinese. English summary) Zbl 0688.35051 J. Chengdu Univ. Sci. Technol. 1988, No. 4, 117-126 (1988). MSC: 35L45 35A35 35D05 PDF BibTeX XML Cite \textit{C. Li} et al., J. Chengdu Univ. Sci. Technol. 1988, No. 4, 117--126 (1988; Zbl 0688.35051) OpenURL
Cicognani, M. The propagation of Gevrey singularities for some hyperbolic operators with coefficients Hölder continuous with respect to time. (English) Zbl 0738.35042 Recent developments in hyperbolic equations, Proc. Conf., Pisa/Italy 1987, Pitman Res. Notes Math. Ser. 183, 38-58 (1988). Reviewer: J.Jaenicke (Braunschweig) MSC: 35L67 58J47 35L20 35B65 PDF BibTeX XML Cite \textit{M. Cicognani}, in: Bilinear symbolic calculus and controlled interaction in nonlinear strictly hyperbolic equations. . 38--58 (1988; Zbl 0738.35042) OpenURL
Rascle, Michel Un théorème d’existence globale en élasticité non linéaire mono-dimensionnelle. (A theorem on global existence in one-dimensional nonlinear elasticity). (French) Zbl 0633.73015 Nonlinear hyperbolic problems, Proc. Adv. Res. Workshop, St. Etienne/France 1986, Lect. Notes Math. 1270, 210-220 (1987). Reviewer: S.K.Lakshmana Rao MSC: 74B20 58J99 35L65 PDF BibTeX XML OpenURL
Lax, Peter D. Hyperbolic systems of conservation laws in several space variables. (English) Zbl 0631.35057 Current topics in partial differential equations, Pap. dedic. S. Mizohata Occas. 60th Birthday, 327-341 (1986). Reviewer: A.Doktor MSC: 35L65 35A20 PDF BibTeX XML OpenURL
Métivier, Guy Interaction de deux chocs pour un système de deux lois de conservation, en dimension deux d’espace. (Interaction of two shock waves for a system with two conservation laws in two dimensional space). (French) Zbl 0619.35075 Trans. Am. Math. Soc. 296, 431-479 (1986). Reviewer: G.Boillat MSC: 35L65 76L05 35L50 35L67 35L45 35A07 PDF BibTeX XML Cite \textit{G. Métivier}, Trans. Am. Math. Soc. 296, 431--479 (1986; Zbl 0619.35075) Full Text: DOI OpenURL
Oberguggenberger, Michael Weak limits of solutions to semilinear hyperbolic systems. (English) Zbl 0597.35012 Math. Ann. 274, 599-607 (1986). Reviewer: V.Răsvan MSC: 35D10 35L45 35Q99 81Q05 PDF BibTeX XML Cite \textit{M. Oberguggenberger}, Math. Ann. 274, 599--607 (1986; Zbl 0597.35012) Full Text: DOI EuDML OpenURL
Schatzman, Michelle The geometry of continuous Glimm functionals. (English) Zbl 0593.35064 Nonlinear systems of partial differential equations in applied mathematics, Proc. SIAM-AMS Summer Semin., Santa Fe/N.M. 1984, Lect. Appl. Math. 23, Pt. 1, 417-439 (1986). Reviewer: J.Appell MSC: 35L65 PDF BibTeX XML OpenURL
Oberguggenberger, Michael Propagation of singularities for semilinear hyperbolic initial-boundary value problems in one space dimension. (English) Zbl 0577.35075 J. Differ. Equations 61, 1-39 (1986). MSC: 35L60 35A20 35L67 PDF BibTeX XML Cite \textit{M. Oberguggenberger}, J. Differ. Equations 61, 1--39 (1986; Zbl 0577.35075) Full Text: DOI OpenURL
Li, Daqian; Qin, Tiehu [Li, Ta-tsien] A necessary and sufficient condition for global existence of smooth solutions to Cauchy problem for first order quasilinear hyperbolic systems. (Chinese) Zbl 0597.35078 Acta Math. Sin. 28, 606-613 (1985). MSC: 35L45 35A05 35B65 PDF BibTeX XML Cite \textit{D. Li} and \textit{T. Qin}, Acta Math. Sin. 28, 606--613 (1985; Zbl 0597.35078) OpenURL
Li, T. T. [Li, Tatsien] Some free boundary problems for quasilinear hyperbolic systems. (English) Zbl 0594.35112 Free boundary problems: applications and theory, Vol. IV, Proc. Int. Colloq., Maubuisson/France 1984, Res. Notes Math. 121, 582-592 (1985). MSC: 35R35 35L60 35L67 PDF BibTeX XML OpenURL
Oberguggenberger, Michael Propagation of singularities for semilinear hyperbolic initial-boundary value problems in one space dimension. (English) Zbl 0549.35080 J. Differ. Equations (to appear). MSC: 35L60 35A20 35L67 PDF BibTeX XML OpenURL
Majda, Andrew; Pego, Robert L. Stable viscosity matrices for systems of conservation laws. (English) Zbl 0512.76067 J. Differ. Equations 56, 229-262 (1985). Reviewer: Andrew Majda (Berkeley) MSC: 76N10 35L65 76L05 76D99 76E99 PDF BibTeX XML Cite \textit{A. Majda} and \textit{R. L. Pego}, J. Differ. Equations 56, 229--262 (1985; Zbl 0512.76067) Full Text: DOI OpenURL
Servet Martinez, A. Hyperbolic dynamical systems with isolated points. (English) Zbl 0522.54028 Geometric dynamics, Proc. int. Symp., Rio de Janeiro/Brasil 1981, Lect. Notes Math. 1007, 578-583 (1983). MSC: 54H20 54C70 PDF BibTeX XML OpenURL
Shearer, Michael Admissibility criteria for shock wave solutions of a system of conservation laws of mixed type. (English) Zbl 0511.35059 Proc. R. Soc. Edinb., Sect. A 93, 233-244 (1983). MSC: 35L65 35L67 35L60 35M99 PDF BibTeX XML Cite \textit{M. Shearer}, Proc. R. Soc. Edinb., Sect. A, Math. 93, 233--244 (1983; Zbl 0511.35059) Full Text: DOI OpenURL
Rauch, Jeffrey; Reed, Michael Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension. (English) Zbl 0503.35055 Duke Math. J. 49, 397-475 (1982). MSC: 35L67 35L60 46E35 42B99 PDF BibTeX XML Cite \textit{J. Rauch} and \textit{M. Reed}, Duke Math. J. 49, 397--475 (1982; Zbl 0503.35055) Full Text: DOI OpenURL
Dafermos, C. M.; Hsiao, L. Hyperbolic systems of balance laws with inhomogeneity and dissipation. (English) Zbl 0497.35058 Indiana Univ. Math. J. 31, 471-491 (1982). MSC: 35L65 35A35 PDF BibTeX XML Cite \textit{C. M. Dafermos} and \textit{L. Hsiao}, Indiana Univ. Math. J. 31, 471--491 (1982; Zbl 0497.35058) Full Text: DOI OpenURL
Gordienko, V. M. Symmetrisierung eines gemischten Problems für eine hyperbolische Gleichung zweiter Ordnung mit zwei räumlichen Variablen. (Russian) Zbl 0468.35061 Sib. Mat. Zh. 22, No. 2, 84-104 (1981). MSC: 35L20 35L50 PDF BibTeX XML Cite \textit{V. M. Gordienko}, Sib. Mat. Zh. 22, No. 2, 84--104 (1981; Zbl 0468.35061) OpenURL
Kharibegashvili, S. S. A characteristic problem for a strictly hyperbolic second-order system with two independent variables. (English) Zbl 0421.35049 Differ. Equations 15, 99-106 (1979). MSC: 35L55 35A30 35B65 PDF BibTeX XML Cite \textit{S. S. Kharibegashvili}, Differ. Equations 15, 99--106 (1979; Zbl 0421.35049) OpenURL
Hedstrom, G. W. Nonreflecting boundary conditions for nonlinear hyperbolic systems. (English) Zbl 0397.35043 J. Comput. Phys. 30, 222-237 (1979). MSC: 35L60 35A05 35L65 76N15 PDF BibTeX XML Cite \textit{G. W. Hedstrom}, J. Comput. Phys. 30, 222--237 (1979; Zbl 0397.35043) Full Text: DOI OpenURL
Mock, M. S. Discrete shocks and genuine nonlinearity. (English) Zbl 0397.35044 Mich. Math. J. 25, 131-146 (1978). MSC: 35L65 35L67 76L05 65M99 PDF BibTeX XML Cite \textit{M. S. Mock}, Mich. Math. J. 25, 131--146 (1978; Zbl 0397.35044) Full Text: DOI OpenURL
Chueh, K. R. An initial-boundary value problem for hyperbolic systems. (English) Zbl 0398.35062 Soochow J. Math. Nat. Sci. 3, 89-99 (1977). MSC: 35L50 35A05 35L45 35B45 PDF BibTeX XML Cite \textit{K. R. Chueh}, Soochow J. Math. Nat. Sci. 3, 89--99 (1977; Zbl 0398.35062) OpenURL
Leray, Jean; Ohya, Yujiro Nonlinear non-strictly hyperbolic equations and systems. (Équations et systèmes non linéaires, hyperboliques non-stricts.) (French) Zbl 0209.12603 Hyperbolic equations and waves, Battelle Res. Inst., Seattle, Wash., 1968, Rencontres, 331-369 (1970). Reviewer: M. Schechter MSC: 35L45 35L60 35L70 35L75 PDF BibTeX XML Full Text: DOI OpenURL