Jolly, Michael S.; Kumar, Anuj; Martinez, Vincent R. On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces. (English) Zbl 07461701 Commun. Pure Appl. Anal. 21, No. 1, 101-120 (2022). MSC: 76B03 35Q31 PDF BibTeX XML Cite \textit{M. S. Jolly} et al., Commun. Pure Appl. Anal. 21, No. 1, 101--120 (2022; Zbl 07461701) Full Text: DOI arXiv OpenURL
Sperotto Bemfica, Fabio; Mendes Disconzi, Marcelo; Rodriguez, Casey; Shao, Yuanzhen Local existence and uniqueness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics. (English) Zbl 1477.35263 Commun. Pure Appl. Anal. 20, No. 6, 2279-2290 (2021). MSC: 35Q75 35Q35 35Q31 76Y05 35A01 35A02 PDF BibTeX XML Cite \textit{F. Sperotto Bemfica} et al., Commun. Pure Appl. Anal. 20, No. 6, 2279--2290 (2021; Zbl 1477.35263) Full Text: DOI OpenURL
Wu, Qiwei; Luan, Liping Large-time behavior of solutions to unipolar Euler-Poisson equations with time-dependent damping. (English) Zbl 1471.35242 Commun. Pure Appl. Anal. 20, No. 3, 995-1023 (2021). MSC: 35Q35 35Q81 35Q60 35B40 35B65 PDF BibTeX XML Cite \textit{Q. Wu} and \textit{L. Luan}, Commun. Pure Appl. Anal. 20, No. 3, 995--1023 (2021; Zbl 1471.35242) Full Text: DOI OpenURL
Sun, Yinzheng; Wang, Qin; Song, Kyungwoo Subsonic solutions to a shock diffraction problem by a convex cornered wedge for the pressure gradient system. (English) Zbl 1461.35154 Commun. Pure Appl. Anal. 19, No. 10, 4899-4920 (2020). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L50 35J70 35Q31 PDF BibTeX XML Cite \textit{Y. Sun} et al., Commun. Pure Appl. Anal. 19, No. 10, 4899--4920 (2020; Zbl 1461.35154) Full Text: DOI OpenURL
Yang, Hanchun; Zhang, Meimei; Wang, Qin Global solutions of shock reflection problem for the pressure gradient system. (English) Zbl 1437.35137 Commun. Pure Appl. Anal. 19, No. 6, 3387-3428 (2020). MSC: 35C06 35L45 35L67 35Q31 76H05 PDF BibTeX XML Cite \textit{H. Yang} et al., Commun. Pure Appl. Anal. 19, No. 6, 3387--3428 (2020; Zbl 1437.35137) Full Text: DOI OpenURL
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Xia, Dengfeng Advances in the truncated Euler-Maruyama method for stochastic differential delay equations. (English) Zbl 1462.60073 Commun. Pure Appl. Anal. 19, No. 4, 2081-2100 (2020). MSC: 60H10 60J65 PDF BibTeX XML Cite \textit{W. Fei} et al., Commun. Pure Appl. Anal. 19, No. 4, 2081--2100 (2020; Zbl 1462.60073) Full Text: DOI OpenURL
Dullin, Holger; Latushkin, Yuri; Marangell, Robert; Vasudevan, Shibi; Worthington, Joachim Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations. (English) Zbl 1447.35255 Commun. Pure Appl. Anal. 19, No. 4, 2051-2079 (2020). Reviewer: Y. Charles Li (Columbia) MSC: 35Q31 76E05 47A10 40A15 35Q35 35B35 35P99 PDF BibTeX XML Cite \textit{H. Dullin} et al., Commun. Pure Appl. Anal. 19, No. 4, 2051--2079 (2020; Zbl 1447.35255) Full Text: DOI arXiv OpenURL
Hu, Yanbo; Li, Tong The regularity of a degenerate Goursat problem for the 2-D isothermal Euler equations. (English) Zbl 1480.35083 Commun. Pure Appl. Anal. 18, No. 6, 3317-3336 (2019). MSC: 35B65 35L65 35L80 35Q31 35R35 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{T. Li}, Commun. Pure Appl. Anal. 18, No. 6, 3317--3336 (2019; Zbl 1480.35083) Full Text: DOI OpenURL
Amster, Pablo; Kuna, Mariel Paula; Robledo, Gonzalo Multiple solutions for periodic perturbations of a delayed autonomous system near an equilibrium. (English) Zbl 1421.34045 Commun. Pure Appl. Anal. 18, No. 4, 1695-1709 (2019). Reviewer: Bernhard Lani-Wayda (Giessen) MSC: 34K13 47H10 47H11 PDF BibTeX XML Cite \textit{P. Amster} et al., Commun. Pure Appl. Anal. 18, No. 4, 1695--1709 (2019; Zbl 1421.34045) Full Text: DOI arXiv OpenURL
Chen, Jianjun; Sheng, Wancheng The Riemann problem and the limit solutions as magnetic field vanishes to magnetogasdynamics for generalized Chaplygin gas. (English) Zbl 1377.35197 Commun. Pure Appl. Anal. 17, No. 1, 127-142 (2018). MSC: 35L67 35L65 35J70 35R35 35J65 35Q31 76W05 PDF BibTeX XML Cite \textit{J. Chen} and \textit{W. Sheng}, Commun. Pure Appl. Anal. 17, No. 1, 127--142 (2018; Zbl 1377.35197) Full Text: DOI OpenURL
Wang, Shu; Liu, Chundi Boundary layer problem and quasineutral limit of compressible Euler-Poisson system. (English) Zbl 1372.35023 Commun. Pure Appl. Anal. 16, No. 6, 2177-2199 (2017). MSC: 35B25 35B40 35K57 PDF BibTeX XML Cite \textit{S. Wang} and \textit{C. Liu}, Commun. Pure Appl. Anal. 16, No. 6, 2177--2199 (2017; Zbl 1372.35023) Full Text: DOI OpenURL
Al Taki, Bilal Global well posedness for the ghost effect system. (English) Zbl 1374.35277 Commun. Pure Appl. Anal. 16, No. 1, 345-368 (2017). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76N10 82D05 PDF BibTeX XML Cite \textit{B. Al Taki}, Commun. Pure Appl. Anal. 16, No. 1, 345--368 (2017; Zbl 1374.35277) Full Text: DOI OpenURL
Fang, Li; Guo, Zhenhua Zero dissipation limit to rarefaction wave with vacuum for a one-dimensional compressible non-Newtonian fluid. (English) Zbl 1359.35149 Commun. Pure Appl. Anal. 16, No. 1, 209-242 (2017). MSC: 35Q35 35L65 35Q31 76N15 35B45 PDF BibTeX XML Cite \textit{L. Fang} and \textit{Z. Guo}, Commun. Pure Appl. Anal. 16, No. 1, 209--242 (2017; Zbl 1359.35149) Full Text: DOI OpenURL
Li, Huahui; Shao, Zhiqiang Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for generalized Chaplygin gas. (English) Zbl 1354.35080 Commun. Pure Appl. Anal. 15, No. 6, 2373-2400 (2016). MSC: 35Q31 35L65 35L67 76L05 PDF BibTeX XML Cite \textit{H. Li} and \textit{Z. Shao}, Commun. Pure Appl. Anal. 15, No. 6, 2373--2400 (2016; Zbl 1354.35080) Full Text: DOI OpenURL
Wasiolek, Victor Uniform global existence and convergence of Euler-Maxwell systems with small parameters. (English) Zbl 1353.35198 Commun. Pure Appl. Anal. 15, No. 6, 2007-2021 (2016). MSC: 35L60 35B40 35Q31 35Q61 PDF BibTeX XML Cite \textit{V. Wasiolek}, Commun. Pure Appl. Anal. 15, No. 6, 2007--2021 (2016; Zbl 1353.35198) Full Text: DOI OpenURL
Cherfils, Laurence; Petcu, Madalina On the viscous Cahn-Hilliard-Navier-Stokes equations with dynamic boundary conditions. (English) Zbl 1348.65140 Commun. Pure Appl. Anal. 15, No. 4, 1419-1449 (2016). MSC: 65M60 65M12 PDF BibTeX XML Cite \textit{L. Cherfils} and \textit{M. Petcu}, Commun. Pure Appl. Anal. 15, No. 4, 1419--1449 (2016; Zbl 1348.65140) Full Text: DOI OpenURL
Huang, Meixiang; Shao, Zhiqiang Riemann problem for the relativistic generalized Chaplygin Euler equations. (English) Zbl 1331.35230 Commun. Pure Appl. Anal. 15, No. 1, 127-138 (2016). MSC: 35L67 35L65 35Q31 PDF BibTeX XML Cite \textit{M. Huang} and \textit{Z. Shao}, Commun. Pure Appl. Anal. 15, No. 1, 127--138 (2016; Zbl 1331.35230) OpenURL
Geng, Yongcai Singularity formation for relativistic Euler and Euler-Poisson equations with repulsive force. (English) Zbl 1370.37139 Commun. Pure Appl. Anal. 14, No. 2, 549-564 (2015). MSC: 37N05 70H40 35Q75 35A20 35B44 35Q31 PDF BibTeX XML Cite \textit{Y. Geng}, Commun. Pure Appl. Anal. 14, No. 2, 549--564 (2015; Zbl 1370.37139) Full Text: DOI OpenURL
Ge, Ju; Sheng, Wancheng The two dimensional gas expansion problem of the Euler equations for the generalized Chaplygin gas. (English) Zbl 1304.35518 Commun. Pure Appl. Anal. 13, No. 6, 2733-2748 (2014). MSC: 35Q31 35L65 35L80 35R35 35L60 35L50 PDF BibTeX XML Cite \textit{J. Ge} and \textit{W. Sheng}, Commun. Pure Appl. Anal. 13, No. 6, 2733--2748 (2014; Zbl 1304.35518) Full Text: DOI OpenURL
Wang, Wenjun; Yao, Lei Vanishing viscosity limit to rarefaction waves for the full compressible fluid models of Korteweg type. (English) Zbl 1302.35326 Commun. Pure Appl. Anal. 13, No. 6, 2331-2350 (2014). MSC: 35Q35 35M10 35Q31 35Q53 PDF BibTeX XML Cite \textit{W. Wang} and \textit{L. Yao}, Commun. Pure Appl. Anal. 13, No. 6, 2331--2350 (2014; Zbl 1302.35326) Full Text: DOI OpenURL
Chueshov, Igor Interaction of an elastic plate with a linearized inviscid incompressible fluid. (English) Zbl 1305.74029 Commun. Pure Appl. Anal. 13, No. 5, 1759-1778 (2014). MSC: 74F10 35B41 35Q30 74K20 PDF BibTeX XML Cite \textit{I. Chueshov}, Commun. Pure Appl. Anal. 13, No. 5, 1759--1778 (2014; Zbl 1305.74029) Full Text: DOI OpenURL
Coti Zelati, Michele Remarks on the approximation of the Navier-Stokes equations via the implicit Euler scheme. (English) Zbl 1278.35174 Commun. Pure Appl. Anal. 12, No. 6, 2829-2838 (2013). MSC: 35Q30 37M25 37L40 47H04 47H20 76D05 PDF BibTeX XML Cite \textit{M. Coti Zelati}, Commun. Pure Appl. Anal. 12, No. 6, 2829--2838 (2013; Zbl 1278.35174) Full Text: DOI OpenURL
Chen, Gui-Qiang G.; Yuan, Hairong Local uniqueness of steady spherical transonic shock-fronts for the three-dimensional full Euler equations. (English) Zbl 1267.35004 Commun. Pure Appl. Anal. 12, No. 6, 2515-2542 (2013). MSC: 35A02 35J65 35R35 35B45 76H05 76L05 35L67 35Q31 PDF BibTeX XML Cite \textit{G.-Q. G. Chen} and \textit{H. Yuan}, Commun. Pure Appl. Anal. 12, No. 6, 2515--2542 (2013; Zbl 1267.35004) Full Text: DOI arXiv OpenURL
Liang, Zhilei Convergence rate of solutions to the contact discontinuity for the compressible Navier-Stokes equations. (English) Zbl 1282.35279 Commun. Pure Appl. Anal. 12, No. 5, 1907-1926 (2013). MSC: 35Q30 76N15 35L65 PDF BibTeX XML Cite \textit{Z. Liang}, Commun. Pure Appl. Anal. 12, No. 5, 1907--1926 (2013; Zbl 1282.35279) Full Text: DOI OpenURL
Calvo, Juan On the hyperbolicity and causality of the relativistic Euler system under the kinetic equation of state. (English) Zbl 1408.82006 Commun. Pure Appl. Anal. 12, No. 3, 1341-1347 (2013). MSC: 82C40 35Q20 70H40 76P05 PDF BibTeX XML Cite \textit{J. Calvo}, Commun. Pure Appl. Anal. 12, No. 3, 1341--1347 (2013; Zbl 1408.82006) Full Text: DOI arXiv OpenURL
Yang, Jianwei; Lian, Ruxu; Wang, Shu Incompressible type Euler as scaling limit of compressible Euler-Maxwell equations. (English) Zbl 1264.35247 Commun. Pure Appl. Anal. 12, No. 1, 503-518 (2013). MSC: 35Q61 35Q31 35B40 35C20 35L60 PDF BibTeX XML Cite \textit{J. Yang} et al., Commun. Pure Appl. Anal. 12, No. 1, 503--518 (2013; Zbl 1264.35247) Full Text: DOI OpenURL
Grasselli, Maurizio; Pierre, Morgan Convergence to equilibrium of solutions of the backward Euler scheme for asymptotically autonomous second-order gradient-like systems. (English) Zbl 1264.65119 Commun. Pure Appl. Anal. 11, No. 6, 2393-2416 (2012). MSC: 65L20 65L12 65M12 65M60 PDF BibTeX XML Cite \textit{M. Grasselli} and \textit{M. Pierre}, Commun. Pure Appl. Anal. 11, No. 6, 2393--2416 (2012; Zbl 1264.65119) Full Text: DOI OpenURL
Yu, Xinwei; Zhai, Zhichun On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion. (English) Zbl 1322.35111 Commun. Pure Appl. Anal. 11, No. 5, 1809-1823 (2012). MSC: 35Q31 35B30 35B40 35B44 76B03 PDF BibTeX XML Cite \textit{X. Yu} and \textit{Z. Zhai}, Commun. Pure Appl. Anal. 11, No. 5, 1809--1823 (2012; Zbl 1322.35111) Full Text: DOI OpenURL
Cheverry, Christophe; Houbad, Mekki A class of large amplitude oscillating solutions for three dimensional Euler equations. (English) Zbl 1291.35007 Commun. Pure Appl. Anal. 11, No. 5, 1661-1697 (2012). MSC: 35A21 35A30 76B99 35M10 35Q35 53C12 PDF BibTeX XML Cite \textit{C. Cheverry} and \textit{M. Houbad}, Commun. Pure Appl. Anal. 11, No. 5, 1661--1697 (2012; Zbl 1291.35007) Full Text: DOI OpenURL
Tulzer, Gerhard On the symmetry of steady periodic water waves with stagnation points. (English) Zbl 1372.76024 Commun. Pure Appl. Anal. 11, No. 4, 1577-1586 (2012). MSC: 76B15 35B06 35B10 35Q31 PDF BibTeX XML Cite \textit{G. Tulzer}, Commun. Pure Appl. Anal. 11, No. 4, 1577--1586 (2012; Zbl 1372.76024) Full Text: DOI OpenURL
Constantin, Adrian Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity. (English) Zbl 1282.35283 Commun. Pure Appl. Anal. 11, No. 4, 1397-1406 (2012). MSC: 35Q31 76D33 34B05 12D10 PDF BibTeX XML Cite \textit{A. Constantin}, Commun. Pure Appl. Anal. 11, No. 4, 1397--1406 (2012; Zbl 1282.35283) Full Text: DOI OpenURL
Morosi, Carlo; Pizzocchero, Livio On the constants in a Kato inequality for the Euler and Navier-Stokes equations. (English) Zbl 1453.35138 Commun. Pure Appl. Anal. 11, No. 2, 557-586 (2012). MSC: 35Q30 35Q31 26D10 46E35 PDF BibTeX XML Cite \textit{C. Morosi} and \textit{L. Pizzocchero}, Commun. Pure Appl. Anal. 11, No. 2, 557--586 (2012; Zbl 1453.35138) Full Text: DOI arXiv OpenURL
Kaya, Emine; Aulisa, Eugenio; Ibragimov, Akif; Seshaiyer, Padmanabhan Stability analysis of inhomogeneous equilibrium for axially and transversely excited nonlinear beam. (English) Zbl 1238.49040 Commun. Pure Appl. Anal. 10, No. 5, 1447-1462 (2011). MSC: 49K40 70K20 74K10 35Q93 PDF BibTeX XML Cite \textit{E. Kaya} et al., Commun. Pure Appl. Anal. 10, No. 5, 1447--1462 (2011; Zbl 1238.49040) Full Text: DOI OpenURL
Ju, Qiangchang; Li, Hailiang; Li, Yong; Jiang, Song Quasi-neutral limit of the two-fluid Euler-Poisson system. (English) Zbl 1213.35051 Commun. Pure Appl. Anal. 9, No. 6, 1577-1590 (2010). Reviewer: Denise Huet (Nancy) MSC: 35B25 35B40 35C20 35L60 35Q35 35Q31 82D10 PDF BibTeX XML Cite \textit{Q. Ju} et al., Commun. Pure Appl. Anal. 9, No. 6, 1577--1590 (2010; Zbl 1213.35051) Full Text: DOI OpenURL
Zhou, Yong; Fan, Jishan Local well-posedness for the ideal incompressible density dependent magnetohydrodynamic equations. (English) Zbl 1187.35163 Commun. Pure Appl. Anal. 9, No. 3, 813-818 (2010). MSC: 35Q31 76D03 76D05 76W05 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{J. Fan}, Commun. Pure Appl. Anal. 9, No. 3, 813--818 (2010; Zbl 1187.35163) Full Text: DOI OpenURL
Merlet, Benoît; Pierre, Morgan Convergence to equilibrium for the backward Euler scheme and applications. (English) Zbl 1215.65132 Commun. Pure Appl. Anal. 9, No. 3, 685-702 (2010). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L07 65L06 65L20 65M12 PDF BibTeX XML Cite \textit{B. Merlet} and \textit{M. Pierre}, Commun. Pure Appl. Anal. 9, No. 3, 685--702 (2010; Zbl 1215.65132) Full Text: DOI OpenURL
Hao, Xingwen; Li, Yachun; Wang, Zejun Non-relativistic global limits to the three dimensional relativistic Euler equations with spherical symmetry. (English) Zbl 1197.35052 Commun. Pure Appl. Anal. 9, No. 2, 365-386 (2010). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B40 76Y05 35B35 35L65 85A05 35Q31 35Q75 PDF BibTeX XML Cite \textit{X. Hao} et al., Commun. Pure Appl. Anal. 9, No. 2, 365--386 (2010; Zbl 1197.35052) Full Text: DOI OpenURL
Xu, Yulan; Dou, Yanping Large \(BV\) solutions to Euler equations in the isothermal self-gravitating gases with damping. (English) Zbl 1221.35234 Commun. Pure Appl. Anal. 8, No. 4, 1451-1467 (2009). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35L50 76N10 65M12 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{Y. Dou}, Commun. Pure Appl. Anal. 8, No. 4, 1451--1467 (2009; Zbl 1221.35234) Full Text: DOI OpenURL
Coulombel, Jean-François; Secchi, Paolo Uniqueness of 2-D compressible vortex sheets. (English) Zbl 1160.76040 Commun. Pure Appl. Anal. 8, No. 4, 1439-1450 (2009). MSC: 76N10 35Q35 35R35 PDF BibTeX XML Cite \textit{J.-F. Coulombel} and \textit{P. Secchi}, Commun. Pure Appl. Anal. 8, No. 4, 1439--1450 (2009; Zbl 1160.76040) Full Text: DOI OpenURL
Li, Congming; Lim, Jisun The singularity analysis of solutions to some integral equations. (English) Zbl 1137.45002 Commun. Pure Appl. Anal. 6, No. 2, 453-464 (2007). Reviewer: Cornelis van der Mee (Cagliari) MSC: 45G15 45G05 45M20 45M05 PDF BibTeX XML Cite \textit{C. Li} and \textit{J. Lim}, Commun. Pure Appl. Anal. 6, No. 2, 453--464 (2007; Zbl 1137.45002) Full Text: DOI OpenURL
Diogo, T.; Lima, P.; Rebelo, M. Numerical solution of a nonlinear Abel type Volterra integral equation. (English) Zbl 1133.65114 Commun. Pure Appl. Anal. 5, No. 2, 277-288 (2006). MSC: 65R20 45G05 PDF BibTeX XML Cite \textit{T. Diogo} et al., Commun. Pure Appl. Anal. 5, No. 2, 277--288 (2006; Zbl 1133.65114) Full Text: DOI OpenURL
Li, Yachun; Shi, Qiufang Global existence of the entropy solutions to the isentropic relativistic Euler equations. (English) Zbl 1097.35103 Commun. Pure Appl. Anal. 4, No. 4, 763-778 (2005). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 35L65 35B40 35A05 76Y05 35B35 85A05 PDF BibTeX XML Cite \textit{Y. Li} and \textit{Q. Shi}, Commun. Pure Appl. Anal. 4, No. 4, 763--778 (2005; Zbl 1097.35103) Full Text: DOI OpenURL
Li, Tianhong Some special solutions of the multidimensional Euler equations in \(\mathbb R^N\). (English) Zbl 1083.35058 Commun. Pure Appl. Anal. 4, No. 4, 757-762 (2005). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L60 35L65 35B40 76N10 PDF BibTeX XML Cite \textit{T. Li}, Commun. Pure Appl. Anal. 4, No. 4, 757--762 (2005; Zbl 1083.35058) Full Text: DOI OpenURL
Trebeschi, Paola On the slightly compressible MHD system in the half-plane. (English) Zbl 1057.35038 Commun. Pure Appl. Anal. 3, No. 1, 97-113 (2004). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 35Q35 35L50 58J45 46E35 76W05 PDF BibTeX XML Cite \textit{P. Trebeschi}, Commun. Pure Appl. Anal. 3, No. 1, 97--113 (2004; Zbl 1057.35038) Full Text: DOI OpenURL
Kubo, Akisato Asymptotic behavior of solutions of the mixed problem for semilinear hyperbolic equations. (English) Zbl 1068.35072 Commun. Pure Appl. Anal. 3, No. 1, 59-74 (2004). Reviewer: Jong Kyu Kim (Masan Kyungnam) MSC: 35L70 35L20 35B40 PDF BibTeX XML Cite \textit{A. Kubo}, Commun. Pure Appl. Anal. 3, No. 1, 59--74 (2004; Zbl 1068.35072) Full Text: DOI OpenURL
Oliver, Marcel The Lagrangian averaged Euler equations as the short-time inviscid limit of the Navier-Stokes equations with Besov class data in \(\mathbb{R}^2\). (English) Zbl 1014.35076 Commun. Pure Appl. Anal. 1, No. 2, 221-235 (2002). Reviewer: L.Debnath (Orlando) MSC: 35Q30 35Q05 35B65 PDF BibTeX XML Cite \textit{M. Oliver}, Commun. Pure Appl. Anal. 1, No. 2, 221--235 (2002; Zbl 1014.35076) Full Text: DOI OpenURL