Ciampa, Gennaro Energy conservation for 2D Euler with vorticity in \(L(\log L)^\alpha\). (English) Zbl 07512738 Commun. Math. Sci. 20, No. 3, 855-875 (2022). MSC: 35Q31 35Q35 PDF BibTeX XML Cite \textit{G. Ciampa}, Commun. Math. Sci. 20, No. 3, 855--875 (2022; Zbl 07512738) Full Text: DOI OpenURL
Sun, Hui; Mei, Ming; Zhang, Kaijun Sub-exponential convergence to steady-states for 1-D Euler-Poisson equations with time-dependent damping. (English) Zbl 07474606 Commun. Math. Sci. 20, No. 2, 447-478 (2022). MSC: 35Q81 35B40 35L50 35L60 35L65 PDF BibTeX XML Cite \textit{H. Sun} et al., Commun. Math. Sci. 20, No. 2, 447--478 (2022; Zbl 07474606) Full Text: DOI OpenURL
Liu, Hailiang; Shin, Jaemin Necessary conditions for blow-up solutions to the restricted Euler-Poisson equations. (English) Zbl 1479.34066 Commun. Math. Sci. 20, No. 2, 327-357 (2022). MSC: 34C11 35Q35 PDF BibTeX XML Cite \textit{H. Liu} and \textit{J. Shin}, Commun. Math. Sci. 20, No. 2, 327--357 (2022; Zbl 1479.34066) Full Text: DOI arXiv OpenURL
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian Global discontinuous solution for \(1D\) isentropic gas dynamics system. (English) Zbl 07441034 Commun. Math. Sci. 19, No. 5, 1451-1459 (2021). MSC: 35Q31 35A01 35D40 35F20 35L40 35Q31 74G25 PDF BibTeX XML Cite \textit{A. El Hajj} et al., Commun. Math. Sci. 19, No. 5, 1451--1459 (2021; Zbl 07441034) Full Text: DOI OpenURL
Wang, Xiaohui The existence of compressible subsonic impinging jet flow in an arbitrary nozzle. (English) Zbl 07441029 Commun. Math. Sci. 19, No. 5, 1347-1380 (2021). MSC: 35Q31 76G25 PDF BibTeX XML Cite \textit{X. Wang}, Commun. Math. Sci. 19, No. 5, 1347--1380 (2021; Zbl 07441029) Full Text: DOI OpenURL
Luan, Liping; Mei, Ming; Rubino, Bruno; Zhu, Peicheng Large-time behavior of solutions to Cauchy problem for bipolar Euler-Poisson system with time-dependent damping in critical case. (English) Zbl 1479.35110 Commun. Math. Sci. 19, No. 5, 1207-1231 (2021). MSC: 35B40 35L45 35L60 35L67 PDF BibTeX XML Cite \textit{L. Luan} et al., Commun. Math. Sci. 19, No. 5, 1207--1231 (2021; Zbl 1479.35110) Full Text: DOI OpenURL
Duan, Ben; Zhang, Na Non-uniqueness of transonic shock solutions to non-isentropic Euler-Poisson system. (English) Zbl 1479.35008 Commun. Math. Sci. 19, No. 4, 903-917 (2021). MSC: 35A02 35L67 35Q31 35Q35 PDF BibTeX XML Cite \textit{B. Duan} and \textit{N. Zhang}, Commun. Math. Sci. 19, No. 4, 903--917 (2021; Zbl 1479.35008) Full Text: DOI OpenURL
Qu, Aifang; Wang, Li; Yuan, Hairong Radon measure solutions for steady hypersonic-limit Euler flows passing two-dimensional finite non-symmetric obstacles and interactions of free concentration layers. (English) Zbl 07441009 Commun. Math. Sci. 19, No. 4, 875-901 (2021). MSC: 35Q31 35L65 35L67 PDF BibTeX XML Cite \textit{A. Qu} et al., Commun. Math. Sci. 19, No. 4, 875--901 (2021; Zbl 07441009) Full Text: DOI OpenURL
Chen, Jianjun; Lai, Geng Self-similar solutions of the spherically symmetric Euler equations for general equations of state. (English) Zbl 1479.35186 Commun. Math. Sci. 19, No. 7, 1991-2018 (2021). MSC: 35C06 35L60 35L65 35L67 35Q31 PDF BibTeX XML Cite \textit{J. Chen} and \textit{G. Lai}, Commun. Math. Sci. 19, No. 7, 1991--2018 (2021; Zbl 1479.35186) Full Text: DOI arXiv OpenURL
Liu, Jianli; Wang, Jingjie; Yuen, Manwai Blowup for \(C^1\) solutions of compressible Euler equations with time-dependent damping. (English) Zbl 07440970 Commun. Math. Sci. 19, No. 2, 513-528 (2021). MSC: 35Qxx 35B30 35B44 35Q31 PDF BibTeX XML Cite \textit{J. Liu} et al., Commun. Math. Sci. 19, No. 2, 513--528 (2021; Zbl 07440970) Full Text: DOI OpenURL
Tong, Lining; Chen, Li Decay estimate to a compressible Euler system with non-local velocity alignment. (English) Zbl 1464.35203 Commun. Math. Sci. 18, No. 5, 1469-1475 (2020). MSC: 35Q31 35L65 35B40 76N10 PDF BibTeX XML Cite \textit{L. Tong} and \textit{L. Chen}, Commun. Math. Sci. 18, No. 5, 1469--1475 (2020; Zbl 1464.35203) Full Text: DOI OpenURL
Li, Mingjie; Wang, Tian-Yi; Xiang, Wei Low Mach number limit of steady Euler flows in multi-dimensional nozzles. (English) Zbl 1464.35200 Commun. Math. Sci. 18, No. 5, 1191-1220 (2020). MSC: 35Q31 35B40 35L65 76N15 35A01 35A02 PDF BibTeX XML Cite \textit{M. Li} et al., Commun. Math. Sci. 18, No. 5, 1191--1220 (2020; Zbl 1464.35200) Full Text: DOI arXiv OpenURL
Gong, Guiqiong; He, Lin Stability of a composite wave of viscous contact wave and rarefaction waves for radiative and reactive gas without viscosity. (English) Zbl 1467.35258 Commun. Math. Sci. 18, No. 8, 2191-2213 (2020). MSC: 35Q35 35Q31 35B40 35B35 76N15 76V05 76P05 80A19 80A21 PDF BibTeX XML Cite \textit{G. Gong} and \textit{L. He}, Commun. Math. Sci. 18, No. 8, 2191--2213 (2020; Zbl 1467.35258) Full Text: DOI OpenURL
Dekkers, Adrien; Rozanova-Pierrat, Anna Models of nonlinear acoustics viewed as an approximation of the Navier-Stokes and Euler compressible isentropic systems. (English) Zbl 1467.35239 Commun. Math. Sci. 18, No. 8, 2075-2119 (2020). MSC: 35Q30 35Q31 35B51 35L71 76Q05 76N10 PDF BibTeX XML Cite \textit{A. Dekkers} and \textit{A. Rozanova-Pierrat}, Commun. Math. Sci. 18, No. 8, 2075--2119 (2020; Zbl 1467.35239) Full Text: DOI arXiv OpenURL
Mu, Pengcheng; Ming, Mei; Zhang, Kaijun Subsonic and supersonic steady-states of bipolar hydrodynamic model of semiconductors with sonic boundary. (English) Zbl 1465.35237 Commun. Math. Sci. 18, No. 7, 2005-2038 (2020). MSC: 35J70 35Q35 76N10 PDF BibTeX XML Cite \textit{P. Mu} et al., Commun. Math. Sci. 18, No. 7, 2005--2038 (2020; Zbl 1465.35237) Full Text: DOI OpenURL
Hunter, John K.; Shu, Jingyang; Zhang, Qingtian Two-front solutions of the SQG equation and its generalizations. (English) Zbl 1464.35227 Commun. Math. Sci. 18, No. 6, 1685-1741 (2020). MSC: 35Q35 35Q86 35Q31 35B65 76B03 86A10 PDF BibTeX XML Cite \textit{J. K. Hunter} et al., Commun. Math. Sci. 18, No. 6, 1685--1741 (2020; Zbl 1464.35227) Full Text: DOI arXiv OpenURL
Krupa, Sam G. Criteria for the \(a\)-contraction and stability for the piecewise-smooth solutions to hyperbolic balance laws. (English) Zbl 1462.35198 Commun. Math. Sci. 18, No. 6, 1493-1537 (2020). MSC: 35L65 35A02 35B35 35D30 35L45 35L67 35Q31 76L05 76N10 76N15 PDF BibTeX XML Cite \textit{S. G. Krupa}, Commun. Math. Sci. 18, No. 6, 1493--1537 (2020; Zbl 1462.35198) Full Text: DOI arXiv OpenURL
Chen, Bochao; Gao, Yixian; Li, Yong Periodic solutions to nonlinear Euler-Bernoulli beam equations. (English) Zbl 1472.35022 Commun. Math. Sci. 17, No. 7, 2005-2034 (2019). Reviewer: Nicolae Cîndea (Aubière) MSC: 35B10 35L75 58C15 74K10 PDF BibTeX XML Cite \textit{B. Chen} et al., Commun. Math. Sci. 17, No. 7, 2005--2034 (2019; Zbl 1472.35022) Full Text: DOI arXiv OpenURL
Tan, Changhui Singularity formation for a fluid mechanics model with nonlocal velocity. (English) Zbl 1433.35298 Commun. Math. Sci. 17, No. 7, 1779-1794 (2019). MSC: 35Q35 35Q92 35R11 76S05 35Q86 35B65 92C15 86A10 PDF BibTeX XML Cite \textit{C. Tan}, Commun. Math. Sci. 17, No. 7, 1779--1794 (2019; Zbl 1433.35298) Full Text: DOI arXiv OpenURL
Lian, Jiali Global well-posedness of the free-surface damped incompressible Euler equations with surface tension. (English) Zbl 1421.35205 Commun. Math. Sci. 17, No. 3, 587-608 (2019). MSC: 35L50 35L60 35Q35 76B15 35R35 35Q31 PDF BibTeX XML Cite \textit{J. Lian}, Commun. Math. Sci. 17, No. 3, 587--608 (2019; Zbl 1421.35205) Full Text: DOI OpenURL
Cheng, Ming; Li, Yong Time periodic solutions to the full hydrodynamic model to semiconductors. (English) Zbl 1420.35205 Commun. Math. Sci. 17, No. 2, 413-445 (2019). MSC: 35Q31 35B10 76N15 82D37 35D35 35A01 PDF BibTeX XML Cite \textit{M. Cheng} and \textit{Y. Li}, Commun. Math. Sci. 17, No. 2, 413--445 (2019; Zbl 1420.35205) Full Text: DOI OpenURL
Zhou, Yi; Zhu, Yi Global solutions of 3D partially damped Euler-Poisson two-fluid system. (English) Zbl 1420.35219 Commun. Math. Sci. 17, No. 1, 1-32 (2019). MSC: 35Q31 35Q35 76N10 35B65 35A01 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{Y. Zhu}, Commun. Math. Sci. 17, No. 1, 1--32 (2019; Zbl 1420.35219) Full Text: DOI OpenURL
Schaeffer, Hayden A penalty method for some nonlinear variational obstacle problems. (English) Zbl 1409.35009 Commun. Math. Sci. 16, No. 7, 1757-1777 (2018). MSC: 35A15 35J60 35R35 49J40 35J87 PDF BibTeX XML Cite \textit{H. Schaeffer}, Commun. Math. Sci. 16, No. 7, 1757--1777 (2019; Zbl 1409.35009) Full Text: DOI OpenURL
Widmayer, Klaus Convergence to stratified flow for an inviscid 3D Boussinesq system. (English) Zbl 1410.35142 Commun. Math. Sci. 16, No. 6, 1713-1728 (2018). MSC: 35Q35 76B15 76B70 35B35 35Q31 PDF BibTeX XML Cite \textit{K. Widmayer}, Commun. Math. Sci. 16, No. 6, 1713--1728 (2019; Zbl 1410.35142) Full Text: DOI arXiv OpenURL
Hutzenthaler, Martin; Jentzen, Arnulf; Salimova, Diyora Strong convergence of full-discrete nonlinearity-truncated accelerated exponential Euler-type approximations for stochastic Kuramoto-Sivashinsky equations. (English) Zbl 1406.60102 Commun. Math. Sci. 16, No. 6, 1489-1529 (2019). MSC: 60H35 65C30 PDF BibTeX XML Cite \textit{M. Hutzenthaler} et al., Commun. Math. Sci. 16, No. 6, 1489--1529 (2019; Zbl 1406.60102) Full Text: DOI arXiv OpenURL
Fernández-Nieto, Enrique D.; Parisot, Martin; Penel, Yohan; Sainte-Marie, Jacques A hierarchy of dispersive layer-averaged approximations of Euler equations for free surface flows. (English) Zbl 1408.35136 Commun. Math. Sci. 16, No. 5, 1169-1202 (2018). MSC: 35Q31 35B45 65M08 76B15 35Q86 86A05 76D05 35R35 PDF BibTeX XML Cite \textit{E. D. Fernández-Nieto} et al., Commun. Math. Sci. 16, No. 5, 1169--1202 (2018; Zbl 1408.35136) Full Text: DOI OpenURL
Angulo-Castillo, Vladimir; Ferreira, Lucas C. F. On the 3D Euler equations with Coriolis force in borderline Besov spaces. (English) Zbl 1390.35240 Commun. Math. Sci. 16, No. 1, 145-164 (2018). MSC: 35Q31 76U05 76B03 35B44 42B35 PDF BibTeX XML Cite \textit{V. Angulo-Castillo} and \textit{L. C. F. Ferreira}, Commun. Math. Sci. 16, No. 1, 145--164 (2018; Zbl 1390.35240) Full Text: DOI arXiv OpenURL
Bristeau, M.-O.; Guichard, C.; di Martino, B.; Sainte-Marie, J. Layer-averaged Euler and Navier-Stokes equations. (English) Zbl 1390.35224 Commun. Math. Sci. 15, No. 5, 1221-1246 (2017). MSC: 35Q30 35Q35 76D05 PDF BibTeX XML Cite \textit{M. O. Bristeau} et al., Commun. Math. Sci. 15, No. 5, 1221--1246 (2017; Zbl 1390.35224) Full Text: DOI arXiv OpenURL
Renac, Florent A robust high-order discontinuous Galerkin method with large time steps for the compressible Euler equations. (English) Zbl 1457.65134 Commun. Math. Sci. 15, No. 3, 813-837 (2017). MSC: 65M60 65M06 65M12 76N06 76N15 76H05 76M10 35Q31 PDF BibTeX XML Cite \textit{F. Renac}, Commun. Math. Sci. 15, No. 3, 813--837 (2017; Zbl 1457.65134) Full Text: DOI OpenURL
Lee, Yongki Upper-thresholds for shock formation in two-dimensional weakly restricted Euler-Poisson equations. (English) Zbl 1367.35123 Commun. Math. Sci. 15, No. 3, 593-607 (2017). MSC: 35Q35 35B30 35B44 PDF BibTeX XML Cite \textit{Y. Lee}, Commun. Math. Sci. 15, No. 3, 593--607 (2017; Zbl 1367.35123) Full Text: DOI OpenURL
Colbert-Kelly, Sean; McFadden, Geoffrey B.; Phillips, Daniel; Shen, Jie Numerical analysis and simulation for a generalized planar Ginzburg-Landau equation in a circular geometry. (English) Zbl 1367.65142 Commun. Math. Sci. 15, No. 2, 329-357 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M70 35Q56 65M12 65M15 PDF BibTeX XML Cite \textit{S. Colbert-Kelly} et al., Commun. Math. Sci. 15, No. 2, 329--357 (2017; Zbl 1367.65142) Full Text: DOI OpenURL
Liu, Shuangqian; Yin, Haiyan; Zhu, Changjiang Stability of contact discontinuity for the Navier-Stokes-Poisson system with free boundary. (English) Zbl 1356.35180 Commun. Math. Sci. 14, No. 7, 1859-1887 (2016). MSC: 35Q35 35B35 82D10 78A25 76X05 PDF BibTeX XML Cite \textit{S. Liu} et al., Commun. Math. Sci. 14, No. 7, 1859--1887 (2016; Zbl 1356.35180) Full Text: DOI arXiv OpenURL
Duan, Ben; Luo, Zhen; Xiao, Jingjing Transonic shock solutions to the Euler-Poisson system in quasi-one-dimensional nozzles. (English) Zbl 1350.35120 Commun. Math. Sci. 14, No. 4, 1023-1047 (2016). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L65 35B35 76H05 35Q31 PDF BibTeX XML Cite \textit{B. Duan} et al., Commun. Math. Sci. 14, No. 4, 1023--1047 (2016; Zbl 1350.35120) Full Text: DOI OpenURL
Tan, Zhong; Wang, Yong Asymptotic behavior of solutions to the compressible bipolar Euler-Maxwell system in \(\mathbb{R}^3\). (English) Zbl 1329.82126 Commun. Math. Sci. 13, No. 7, 1683-1710 (2015). MSC: 82D10 35A01 35B40 35Q35 35Q61 PDF BibTeX XML Cite \textit{Z. Tan} and \textit{Y. Wang}, Commun. Math. Sci. 13, No. 7, 1683--1710 (2015; Zbl 1329.82126) Full Text: DOI OpenURL
Yu, Huimin Large time behavior of entropy solutions to a unipolar hydrodynamic model of semiconductors. (English) Zbl 1332.35046 Commun. Math. Sci. 14, No. 1, 69-82 (2016). MSC: 35B40 76W05 35Q31 PDF BibTeX XML Cite \textit{H. Yu}, Commun. Math. Sci. 14, No. 1, 69--82 (2015; Zbl 1332.35046) Full Text: DOI OpenURL
Chen, Chao Subsonic potential flows in general smooth bounded domains. (English) Zbl 1334.35067 Commun. Math. Sci. 13, No. 8, 2053-2064 (2015). Reviewer: Alpár R. Mészáros (Los Angeles) MSC: 35J70 35J25 35Q35 76H05 PDF BibTeX XML Cite \textit{C. Chen}, Commun. Math. Sci. 13, No. 8, 2053--2064 (2015; Zbl 1334.35067) Full Text: DOI OpenURL
Spencer, Jack; Chen, Ke A convex and selective variational model for image segmentation. (English) Zbl 1327.62387 Commun. Math. Sci. 13, No. 6, 1453-1472 (2015). MSC: 62H35 35A15 65C20 65N22 68U10 74G65 74G75 PDF BibTeX XML Cite \textit{J. Spencer} and \textit{K. Chen}, Commun. Math. Sci. 13, No. 6, 1453--1472 (2015; Zbl 1327.62387) Full Text: DOI OpenURL
Hmidi, Taoufik; Zerguine, Mohamed Vortex patch problem for stratified Euler equations. (English) Zbl 1305.35108 Commun. Math. Sci. 12, No. 8, 1541-1563 (2014). MSC: 35Q31 35B65 35Q35 76D03 PDF BibTeX XML Cite \textit{T. Hmidi} and \textit{M. Zerguine}, Commun. Math. Sci. 12, No. 8, 1541--1563 (2014; Zbl 1305.35108) Full Text: DOI OpenURL
Wu, Zhigang; Wang, Weike Decay of the solution for the bipolar Euler-Poisson system with damping in dimension three. (English) Zbl 1307.35056 Commun. Math. Sci. 12, No. 7, 1257-1276 (2014). MSC: 35B40 35A01 35Q35 35Q31 PDF BibTeX XML Cite \textit{Z. Wu} and \textit{W. Wang}, Commun. Math. Sci. 12, No. 7, 1257--1276 (2014; Zbl 1307.35056) Full Text: DOI OpenURL
Xu, Guoliang; Chen, Chong Blended finite element method and its convergence for three-dimensional image reconstruction using \(L^2\)-gradient flow. (English) Zbl 1307.65178 Commun. Math. Sci. 12, No. 6, 989-1015 (2014). Reviewer: Krzystof Gdawiec (Sosnowiec) MSC: 65R10 92C55 44A12 65D18 65R32 65K10 65Y20 PDF BibTeX XML Cite \textit{G. Xu} and \textit{C. Chen}, Commun. Math. Sci. 12, No. 6, 989--1015 (2014; Zbl 1307.65178) Full Text: DOI OpenURL
Gie, Gung-Min Asymptotic expansion of the Stokes solutions at small viscosity: the case of non-compatible initial data. (English) Zbl 1302.35100 Commun. Math. Sci. 12, No. 2, 383-400 (2014). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35C20 76D07 76D10 35B25 35Q31 PDF BibTeX XML Cite \textit{G.-M. Gie}, Commun. Math. Sci. 12, No. 2, 383--400 (2014; Zbl 1302.35100) Full Text: DOI OpenURL
Boulanger, A. C.; Bristeau, M. O.; Sainte-Marie, J. Analytical solutions for the free surface hydrostatic Euler equations. (English) Zbl 1288.35379 Commun. Math. Sci. 11, No. 4, 993-1010 (2013). MSC: 35Q31 35Q30 35Q35 76D05 PDF BibTeX XML Cite \textit{A. C. Boulanger} et al., Commun. Math. Sci. 11, No. 4, 993--1010 (2013; Zbl 1288.35379) Full Text: DOI OpenURL
Holm, Darryl D.; Tronci, Cesare Euler-Poincaré formulation of hybrid plasma models. (English) Zbl 1291.35404 Commun. Math. Sci. 10, No. 1, 191-222 (2012). MSC: 35Q83 76M30 76M60 76W05 82D10 PDF BibTeX XML Cite \textit{D. D. Holm} and \textit{C. Tronci}, Commun. Math. Sci. 10, No. 1, 191--222 (2012; Zbl 1291.35404) Full Text: DOI arXiv OpenURL
Bardos, Claude; Golse, François; Paillard, Lionel The incompressible Euler limit of the Boltzmann equation with accommodation boundary condition. (English) Zbl 1291.35169 Commun. Math. Sci. 10, No. 1, 159-190 (2012). MSC: 35Q30 76D05 82B40 76B99 PDF BibTeX XML Cite \textit{C. Bardos} et al., Commun. Math. Sci. 10, No. 1, 159--190 (2012; Zbl 1291.35169) Full Text: DOI arXiv OpenURL
Bae, Hantaek; Tadmor, Eitan; Wei, Dongming Critical thresholds in multi-dimensional Euler-Poisson equations with radial symmetry. (English) Zbl 1272.35146 Commun. Math. Sci. 10, No. 1, 75-86 (2012). MSC: 35L65 35Q31 35B07 PDF BibTeX XML Cite \textit{H. Bae} et al., Commun. Math. Sci. 10, No. 1, 75--86 (2012; Zbl 1272.35146) Full Text: DOI OpenURL
Constantin, Peter; Sun, Weiran Remarks on Oldroyd-B and related complex fluid models. (English) Zbl 1291.35201 Commun. Math. Sci. 10, No. 1, 33-73 (2012). MSC: 35Q31 35Q35 35Q70 35Q84 PDF BibTeX XML Cite \textit{P. Constantin} and \textit{W. Sun}, Commun. Math. Sci. 10, No. 1, 33--73 (2012; Zbl 1291.35201) Full Text: DOI arXiv OpenURL
Lin, Chunjin Asymptotic stability of rarefaction waves in radiative hydrodynamics. (English) Zbl 1282.35070 Commun. Math. Sci. 9, No. 1, 207-223 (2011). MSC: 35B40 35M10 35Q35 35F50 35Q31 PDF BibTeX XML Cite \textit{C. Lin}, Commun. Math. Sci. 9, No. 1, 207--223 (2011; Zbl 1282.35070) Full Text: DOI Link OpenURL
Wei, Dongming Critical thresholds in multi-dimensional restricted Euler equations. (English) Zbl 1219.35184 Commun. Math. Sci. 9, No. 2, 583-596 (2011). MSC: 35Q31 35B30 35B44 35B65 PDF BibTeX XML Cite \textit{D. Wei}, Commun. Math. Sci. 9, No. 2, 583--596 (2011; Zbl 1219.35184) Full Text: DOI Euclid OpenURL
Cozzi, Elaine A finite time result for vanishing viscosity in the plane with nondecaying vorticity. (English) Zbl 1372.76031 Commun. Math. Sci. 8, No. 4, 851-862 (2010). MSC: 76D05 76B99 35Q30 35B25 35Q31 PDF BibTeX XML Cite \textit{E. Cozzi}, Commun. Math. Sci. 8, No. 4, 851--862 (2010; Zbl 1372.76031) Full Text: DOI arXiv Euclid OpenURL
Rozanova-Pierrat, Anna On the derivation of the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation and validation of the KZK-approximation for viscous and non-viscous thermo-elastic media. (English) Zbl 1186.35147 Commun. Math. Sci. 7, No. 3, 679-718 (2009). Reviewer: Keisuke Uchikoshi (Yokosuka) MSC: 35Q30 76Q05 35Q31 35A35 PDF BibTeX XML Cite \textit{A. Rozanova-Pierrat}, Commun. Math. Sci. 7, No. 3, 679--718 (2009; Zbl 1186.35147) Full Text: DOI OpenURL
Chae, Dongho; Ha, Seung-Yeal On the formation of shocks to the compressible Euler equations. (English) Zbl 1183.35225 Commun. Math. Sci. 7, No. 3, 627-634 (2009). MSC: 35Q31 35B30 35B45 35B41 76N10 76N15 PDF BibTeX XML Cite \textit{D. Chae} and \textit{S.-Y. Ha}, Commun. Math. Sci. 7, No. 3, 627--634 (2009; Zbl 1183.35225) Full Text: DOI OpenURL
Kelliher, James P. Vanishing viscosity and the accumulation of vorticity on the boundary. (English) Zbl 1161.76012 Commun. Math. Sci. 6, No. 4, 869-880 (2008). MSC: 76D03 76B03 35Q30 35Q35 PDF BibTeX XML Cite \textit{J. P. Kelliher}, Commun. Math. Sci. 6, No. 4, 869--880 (2008; Zbl 1161.76012) Full Text: DOI arXiv OpenURL
Chae, Donghao; Tadmor, Eitan On the finite time blow-up of the Euler-Poisson equations in \(\mathbb R^{N}\). (English) Zbl 1157.35086 Commun. Math. Sci. 6, No. 3, 785-789 (2008). MSC: 35Q35 35B30 PDF BibTeX XML Cite \textit{D. Chae} and \textit{E. Tadmor}, Commun. Math. Sci. 6, No. 3, 785--789 (2008; Zbl 1157.35086) Full Text: DOI Euclid OpenURL
Edens, Thaddeus J. Spectral analysis of a model of the compressible Euler equations. (English) Zbl 1145.35427 Commun. Math. Sci. 5, No. 1, 205-232 (2007). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 76N15 35B35 35B40 35L45 PDF BibTeX XML Cite \textit{T. J. Edens}, Commun. Math. Sci. 5, No. 1, 205--232 (2007; Zbl 1145.35427) Full Text: DOI OpenURL
Cao, Yanping; Lunasin, Evelyn M.; Titi, Edriss S. Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models. (English) Zbl 1127.35034 Commun. Math. Sci. 4, No. 4, 823-848 (2006). Reviewer: Bruno Scarpellini (Basel) MSC: 35Q30 37L30 76D03 35D05 76F20 76F55 76F65 76B03 PDF BibTeX XML Cite \textit{Y. Cao} et al., Commun. Math. Sci. 4, No. 4, 823--848 (2006; Zbl 1127.35034) Full Text: DOI arXiv OpenURL
Pierce, Virgil U.; Tian, Fei-Ran Self-similar solutions of the non-strictly hyperbolic Whitham equations. (English) Zbl 1133.35086 Commun. Math. Sci. 4, No. 4, 799-822 (2006). Reviewer: Meng Wang (Hangzhou) MSC: 35Q53 35L65 35L67 35Q05 PDF BibTeX XML Cite \textit{V. U. Pierce} and \textit{F.-R. Tian}, Commun. Math. Sci. 4, No. 4, 799--822 (2006; Zbl 1133.35086) Full Text: DOI arXiv OpenURL
Berthon, Christophe Stability of the MUSCL schemes for the Euler equations. (English) Zbl 1161.65344 Commun. Math. Sci. 3, No. 2, 133-157 (2005). MSC: 65M06 76N99 35L65 PDF BibTeX XML Cite \textit{C. Berthon}, Commun. Math. Sci. 3, No. 2, 133--157 (2005; Zbl 1161.65344) Full Text: DOI Euclid OpenURL
Kurtz, Thomas G.; Xiong, Jie A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems. (English) Zbl 1087.60050 Commun. Math. Sci. 2, No. 3, 325-358 (2004). Reviewer: Tomasz Bojdecki (Warszawa) MSC: 60H15 60H35 60B12 60F17 60F25 60H10 93E11 PDF BibTeX XML Cite \textit{T. G. Kurtz} and \textit{J. Xiong}, Commun. Math. Sci. 2, No. 3, 325--358 (2004; Zbl 1087.60050) Full Text: DOI OpenURL
Groppi, Maria; Pennacchio, Micol An Imex finite volume scheme for reactive Euler equations arising from kinetic theory. (English) Zbl 1111.82046 Commun. Math. Sci. 1, No. 3, 449-470 (2003). MSC: 82C40 65M06 76M12 PDF BibTeX XML Cite \textit{M. Groppi} and \textit{M. Pennacchio}, Commun. Math. Sci. 1, No. 3, 449--470 (2003; Zbl 1111.82046) Full Text: DOI OpenURL
Brenier, Yann; Mauser, Norbert; Puel, Marjolaine Incompressible Euler and e-MHD as scaling limits of the Vlasov/Maxwell system. (English) Zbl 1089.35048 Commun. Math. Sci. 1, No. 3, 437-447 (2003). MSC: 35Q35 76W05 82D10 PDF BibTeX XML Cite \textit{Y. Brenier} et al., Commun. Math. Sci. 1, No. 3, 437--447 (2003; Zbl 1089.35048) Full Text: DOI OpenURL