Plaza, Ramón G.; Vallejo, Fabio Stability of classical shock fronts for compressible hyperelastic materials of Hadamard type. (English) Zbl 1481.74412 Arch. Ration. Mech. Anal. 243, No. 2, 943-1017 (2022). MSC: 74J40 74B20 35Q74 PDF BibTeX XML Cite \textit{R. G. Plaza} and \textit{F. Vallejo}, Arch. Ration. Mech. Anal. 243, No. 2, 943--1017 (2022; Zbl 1481.74412) Full Text: DOI arXiv OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco No loss of derivatives for hyperbolic operators with Zygmund-continuous coefficients in time. (English) Zbl 1461.35145 Cicognani, Massimo (ed.) et al., Anomalies in partial differential equations. Based on talks given at the INDAM workshop, University of Rome “La Sapienza”, Rome, Italy, September 9–13, 2019. Cham: Springer. Springer INdAM Ser. 43, 127-148 (2021). MSC: 35L15 35B45 35B65 PDF BibTeX XML Cite \textit{F. Colombini} et al., Springer INdAM Ser. 43, 127--148 (2021; Zbl 1461.35145) Full Text: DOI arXiv OpenURL
Li, Yuchen Local well-posedness of a multidimensional shock wave for the steady supersonic isothermal flow. (English) Zbl 1394.35278 Sci. China, Math. 61, No. 3, 453-486 (2018). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L70 35L65 76N15 PDF BibTeX XML Cite \textit{Y. Li}, Sci. China, Math. 61, No. 3, 453--486 (2018; Zbl 1394.35278) Full Text: DOI OpenURL
Li, Jun; Witt, Ingo; Yin, Huicheng Global multidimensional shock waves of 2-dimensional and 3-dimensional unsteady potential flow equations. (English) Zbl 1395.35146 SIAM J. Math. Anal. 50, No. 1, 933-1009 (2018). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35L67 35L70 76N15 PDF BibTeX XML Cite \textit{J. Li} et al., SIAM J. Math. Anal. 50, No. 1, 933--1009 (2018; Zbl 1395.35146) Full Text: DOI OpenURL
Chen, ShuXing; Li, DeNing Generalised Riemann problem for Euler system. (English) Zbl 1390.35242 Sci. China, Math. 60, No. 4, 581-592 (2017). MSC: 35Q31 35F55 35L45 76N15 76N10 35B44 76L05 PDF BibTeX XML Cite \textit{S. Chen} and \textit{D. Li}, Sci. China, Math. 60, No. 4, 581--592 (2017; Zbl 1390.35242) Full Text: DOI OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients. (English) Zbl 1346.35124 Commun. Partial Differ. Equations 40, No. 11, 2082-2121 (2015). Reviewer: Alberto Parmeggiani (Bologna) MSC: 35L45 35B45 35B65 35A27 PDF BibTeX XML Cite \textit{F. Colombini} et al., Commun. Partial Differ. Equations 40, No. 11, 2082--2121 (2015; Zbl 1346.35124) Full Text: DOI arXiv OpenURL
Chen, Shuxing; Li, Dening Solutions of the Cauchy problem for the 2-D Euler system with fan-shaped structure. (English) Zbl 1311.35193 Appl. Math. Lett. 32, 19-21 (2014). MSC: 35Q31 PDF BibTeX XML Cite \textit{S. Chen} and \textit{D. Li}, Appl. Math. Lett. 32, 19--21 (2014; Zbl 1311.35193) Full Text: DOI OpenURL
Chen, Shuxing; Li, Dening Cauchy problem with general discontinuous initial data along a smooth curve for 2-d Euler system. (English) Zbl 1302.35239 J. Differ. Equations 257, No. 6, 1939-1988 (2014). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L60 35L65 35L67 76L05 35R05 35Q31 PDF BibTeX XML Cite \textit{S. Chen} and \textit{D. Li}, J. Differ. Equations 257, No. 6, 1939--1988 (2014; Zbl 1302.35239) Full Text: DOI OpenURL
Zhang, Shuyi; Wang, Yaguang Reflection of shock fronts in a van der Waals fluid. (English) Zbl 1302.35240 Chin. Ann. Math., Ser. B 34, No. 6, 927-956 (2013). MSC: 35L60 35L50 35L67 35Q35 35L45 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{Y. Wang}, Chin. Ann. Math., Ser. B 34, No. 6, 927--956 (2013; Zbl 1302.35240) Full Text: DOI OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients. (English) Zbl 1286.35057 Commun. Partial Differ. Equations 38, No. 10, 1791-1817 (2013). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B65 35L15 35S50 35B45 PDF BibTeX XML Cite \textit{F. Colombini} et al., Commun. Partial Differ. Equations 38, No. 10, 1791--1817 (2013; Zbl 1286.35057) Full Text: DOI arXiv Link OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy A well-posedness result for hyperbolic operators with Zygmund coefficients. (English) Zbl 1282.35220 J. Math. Pures Appl. (9) 100, No. 4, 455-475 (2013). MSC: 35L15 35B65 35S50 35B45 PDF BibTeX XML Cite \textit{F. Colombini} et al., J. Math. Pures Appl. (9) 100, No. 4, 455--475 (2013; Zbl 1282.35220) Full Text: DOI arXiv OpenURL
Zhang, Shu-Yi; Wang, Ya-Guang Existence of multidimensional shock waves and phase boundaries. (English) Zbl 1367.35091 J. Differ. Equations 244, No. 7, 1571-1602 (2008). MSC: 35L67 35L65 35Q31 35R35 76L05 PDF BibTeX XML Cite \textit{S.-Y. Zhang} and \textit{Y.-G. Wang}, J. Differ. Equations 244, No. 7, 1571--1602 (2008; Zbl 1367.35091) Full Text: DOI OpenURL
Zhang, Shu-Yi Discontinuous solutions to the Euler equations for a Van der Waals fluid. (English) Zbl 1110.35043 Appl. Math. Lett. 20, No. 2, 170-176 (2007). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35L67 76N10 76L05 35Q35 PDF BibTeX XML Cite \textit{S.-Y. Zhang}, Appl. Math. Lett. 20, No. 2, 170--176 (2007; Zbl 1110.35043) Full Text: DOI OpenURL
Peng, Yahong; Wang, Ya-Guang Nonlinear geometric optics for contact discontinuities and shock waves in one-dimensional Euler system for gas dynamics. (English) Zbl 1110.35044 J. Differ. Equations 229, No. 1, 317-352 (2006). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 35L67 35B05 35L65 78A05 PDF BibTeX XML Cite \textit{Y. Peng} and \textit{Y.-G. Wang}, J. Differ. Equations 229, No. 1, 317--352 (2006; Zbl 1110.35044) Full Text: DOI OpenURL
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin Existence and stability of multidimensional shock fronts in the vanishing viscosity limit. (English) Zbl 1072.35122 Arch. Ration. Mech. Anal. 175, No. 2, 151-244 (2005). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L67 35L65 35L45 35L60 PDF BibTeX XML Cite \textit{O. Guès} et al., Arch. Ration. Mech. Anal. 175, No. 2, 151--244 (2005; Zbl 1072.35122) Full Text: DOI HAL OpenURL
Chen, Shuxing; Geng, Zhenwen; Li, Dening The existence and stability of conic shock waves. (English) Zbl 1036.76028 J. Math. Anal. Appl. 277, No. 2, 512-532 (2003). Reviewer: Michael Sever (Jerusalem) MSC: 76J20 76L05 76E17 PDF BibTeX XML Cite \textit{S. Chen} et al., J. Math. Anal. Appl. 277, No. 2, 512--532 (2003; Zbl 1036.76028) Full Text: DOI OpenURL
Wang, Ya-Guang Nonlinear geometric optics for two shock waves. (English) Zbl 1125.35384 Commun. Partial Differ. Equations 23, No. 9-10, 1621-1692 (1998). MSC: 35L67 78A05 78A60 PDF BibTeX XML Cite \textit{Y.-G. Wang}, Commun. Partial Differ. Equations 23, No. 9--10, 1621--1692 (1998; Zbl 1125.35384) Full Text: DOI OpenURL
Wang, Yaguang Multiple shock fronts for hyperbolic conservation laws in higher dimensional space. (English) Zbl 0833.35091 Acta Math. Sin., New Ser. 11, No. 1, 88-104 (1995). MSC: 35L65 35L67 PDF BibTeX XML Cite \textit{Y. Wang}, Acta Math. Sin., New Ser. 11, No. 1, 88--104 (1995; Zbl 0833.35091) Full Text: DOI OpenURL
Wang, Weike Interaction of shock and conormal singularities for conservation laws. (English) Zbl 0810.35061 Commun. Partial Differ. Equations 19, No. 7-8, 1037-1073 (1994). MSC: 35L65 35L67 PDF BibTeX XML Cite \textit{W. Wang}, Commun. Partial Differ. Equations 19, No. 7--8, 1037--1073 (1994; Zbl 0810.35061) Full Text: DOI OpenURL
Chen, Shuxing Existence of local solution to supersonic flow past a three-dimensional wing. (English) Zbl 0760.76040 Adv. Appl. Math. 13, No. 3, 273-304 (1992). MSC: 76J20 76L05 35Q35 PDF BibTeX XML Cite \textit{S. Chen}, Adv. Appl. Math. 13, No. 3, 273--304 (1992; Zbl 0760.76040) Full Text: DOI OpenURL
Li, Dening Rarefaction and shock waves for multi-dimensional hyperbolic conservation laws. (English) Zbl 0733.35074 Commun. Partial Differ. Equations 16, No. 2-3, 425-450 (1991). Reviewer: K.Zlateva (Russe) MSC: 35L65 35L67 35A27 PDF BibTeX XML Cite \textit{D. Li}, Commun. Partial Differ. Equations 16, No. 2--3, 425--450 (1991; Zbl 0733.35074) Full Text: DOI OpenURL
Schochet, Steven Sufficient conditions for local existence via Glimm’s scheme for large BV data. (English) Zbl 0733.35072 J. Differ. Equations 89, No. 2, 317-354 (1991). Reviewer: L.Rodino (Torino) MSC: 35L60 35Q35 35L67 PDF BibTeX XML Cite \textit{S. Schochet}, J. Differ. Equations 89, No. 2, 317--354 (1991; Zbl 0733.35072) Full Text: DOI OpenURL
Métivier, Guy Stability of multidimensional weak shocks. (English) Zbl 0711.35078 Commun. Partial Differ. Equations 15, No. 7, 983-1028 (1990). MSC: 35L65 35L67 76N15 PDF BibTeX XML Cite \textit{G. Métivier}, Commun. Partial Differ. Equations 15, No. 7, 983--1028 (1990; Zbl 0711.35078) Full Text: DOI OpenURL
Chen, Shuxing On reflection of multidimensional shock front. (English) Zbl 0693.35106 J. Differ. Equations 80, No. 2, 199-236 (1989). Reviewer: R.Saxton MSC: 35L60 35L67 35A35 76B47 35L50 PDF BibTeX XML Cite \textit{S. Chen}, J. Differ. Equations 80, No. 2, 199--236 (1989; Zbl 0693.35106) Full Text: DOI OpenURL
Alinhac, S. Existence d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. (French) Zbl 0692.35063 Commun. Partial Differ. Equations 14, No. 2, 173-230 (1989). Reviewer: L.G.Vulkov MSC: 35L60 35A07 PDF BibTeX XML Cite \textit{S. Alinhac}, Commun. Partial Differ. Equations 14, No. 2, 173--230 (1989; Zbl 0692.35063) Full Text: DOI OpenURL
Li, Dening Cauchy problem of hyperbolic conservation laws in multidimensional space with intersecting jump initial data. (English) Zbl 0696.35100 Trans. Am. Math. Soc. 307, No. 2, 799-812 (1988). MSC: 35L45 35L65 76L05 PDF BibTeX XML Cite \textit{D. Li}, Trans. Am. Math. Soc. 307, No. 2, 799--812 (1988; Zbl 0696.35100) Full Text: DOI OpenURL
Godin, Paul Analytic regularity of uniformly stable shock fronts with analytic data. (English) Zbl 0669.35074 J. Differ. Equations 74, No. 2, 336-368 (1988). Reviewer: G.Boillat MSC: 35L67 35A20 PDF BibTeX XML Cite \textit{P. Godin}, J. Differ. Equations 74, No. 2, 336--368 (1988; Zbl 0669.35074) Full Text: DOI OpenURL
Sablé-Tougeron, Monique Existence pour un problème de l’élastodynamique Neumann non linéaire en dimension 2. (Existence for an elasto-dynamic nonlinear Neumann problem in two dimensions). (French) Zbl 0652.73019 Arch. Ration. Mech. Anal. 101, No. 3, 261-292 (1988). Reviewer: C.Rogers MSC: 74J99 35A05 74B20 35L99 35L70 PDF BibTeX XML Cite \textit{M. Sablé-Tougeron}, Arch. Ration. Mech. Anal. 101, No. 3, 261--292 (1988; Zbl 0652.73019) Full Text: DOI OpenURL
Metivier, Guy The Cauchy problem for semilinear hyperbolic systems with discontinuous data. (English) Zbl 0631.35056 Duke Math. J. 53, 983-1011 (1986). Reviewer: A.Doktor MSC: 35L60 35L67 35R05 35A07 PDF BibTeX XML Cite \textit{G. Metivier}, Duke Math. J. 53, 983--1011 (1986; Zbl 0631.35056) Full Text: DOI OpenURL