Journal of Hyperbolic Differential Equations Short Title: J. Hyperbolic Differ. Equ. Publisher: World Scientific, Singapore ISSN: 0219-8916; 1793-6993/e Online: https://www.worldscientific.com/worldscinet/jhde Comments: Journal; Indexed cover-to-cover Documents Indexed: 533 Publications (since 2004) References Indexed: 531 Publications with 12,152 References. all top 5 Latest Issues 20, No. 2 (2023) 20, No. 1 (2023) 19, No. 4 (2022) 19, No. 3 (2022) 19, No. 2 (2022) 19, No. 1 (2022) 18, No. 4 (2021) 18, No. 3 (2021) 18, No. 2 (2021) 18, No. 1 (2021) 17, No. 4 (2020) 17, No. 3 (2020) 17, No. 2 (2020) 17, No. 1 (2020) 16, No. 4 (2019) 16, No. 3 (2019) 16, No. 2 (2019) 16, No. 1 (2019) 15, No. 4 (2018) 15, No. 3 (2018) 15, No. 2 (2018) 15, No. 1 (2018) 14, No. 4 (2017) 14, No. 3 (2017) 14, No. 2 (2017) 14, No. 1 (2017) 13, No. 4 (2016) 13, No. 3 (2016) 13, No. 2 (2016) 13, No. 1 (2016) 12, No. 4 (2015) 12, No. 3 (2015) 12, No. 2 (2015) 12, No. 1 (2015) 11, No. 4 (2014) 11, No. 3 (2014) 11, No. 2 (2014) 11, No. 1 (2014) 10, No. 4 (2013) 10, No. 3 (2013) 10, No. 2 (2013) 10, No. 1 (2013) 9, No. 4 (2012) 9, No. 3 (2012) 9, No. 2 (2012) 9, No. 1 (2012) 8, No. 4 (2011) 8, No. 3 (2011) 8, No. 2 (2011) 8, No. 1 (2011) 7, No. 4 (2010) 7, No. 3 (2010) 7, No. 2 (2010) 7, No. 1 (2010) 6, No. 4 (2009) 6, No. 3 (2009) 6, No. 2 (2009) 6, No. 1 (2009) 5, No. 4 (2008) 5, No. 3 (2008) 5, No. 2 (2008) 5, No. 1 (2008) 4, No. 4 (2007) 4, No. 3 (2007) 4, No. 2 (2007) 4, No. 1 (2007) 3, No. 4 (2006) 3, No. 3 (2006) 3, No. 2 (2006) 3, No. 1 (2006) 2, No. 4 (2005) 2, No. 3 (2005) 2, No. 2 (2005) 2, No. 1 (2005) 1, No. 4 (2004) 1, No. 3 (2004) 1, No. 2 (2004) 1, No. 1 (2004) all top 5 Authors 9 Kawashima, Shuichi 7 Marchesin, Dan 6 Dafermos, Constantine 6 Karlsen, Kenneth Hvistendahl 5 Jenssen, Helge Kristian 5 Klainerman, Sergiu 5 Morando, Alessandro 5 Panov, Evgeniy Yu. 5 Risebro, Nils Henrik 5 Secchi, Paolo 4 Colliander, James E. 4 Colombo, Rinaldo M. 4 Frid, Hermano 4 Ghoshal, Shyam Sundar 4 Kong, Dexing 4 Liu, Tai-Ping 4 Masmoudi, Nader 4 Speck, Jared 4 Towers, John D. 4 Trebeschi, Paola 4 Wang, Jinghua 3 Adimurthi, A. 3 Amadori, Debora 3 Andersson, Lars Åke 3 Bauzet, Caroline 3 Berthelin, Florent 3 Biswas, Imran H. 3 Blokhin, Aleksandr Mikhaĭlovich 3 Bouchut, François 3 Chen, Geng 3 Christoforou, Cleopatra C. 3 Coclite, Giuseppe Maria 3 Després, Bruno 3 Dias, João-Paulo 3 Donatelli, Donatella 3 Fang, Yung-Fu 3 Flåtten, Tore 3 Gowda, G. D. Veerappa 3 Grunert, Katrin 3 Ha, Seung-Yeal 3 Holden, Helge 3 Holzegel, Gustav 3 Ikehata, Ryo 3 Keyfitz, Barbara Lee 3 Lai, Geng 3 LeFloch, Philippe Gerard 3 Lindblad, Hans 3 Liu, Hailiang 3 Mitrovic, Darko 3 Nishitani, Tatsuo 3 Racke, Reinhard 3 Rauch, Jeffrey B. 3 Rendall, Alan D. 3 Rodnianski, Igor 3 Sheng, Wancheng 3 Smoller, Joel Alan 3 Spirito, Stefano 3 Tang, Tao 3 Tkachev, Dmitriĭ Leonidovich 3 Ueda, Yoshihiro 3 Vallet, Guy 3 Wang, Weike 3 Wei, Changhua 3 Xu, Jiang 3 Young, Robin L. 3 Zeng, Yanni 3 Zhao, Huijiang 3 Zhao, Yinchuan 3 Zumbrun, Kevin R. 2 Allen, Paul T. 2 Amorim, Paulo 2 Andreianov, Boris 2 Antonelli, Paolo 2 Aursand, Peder K. 2 Bechouche, Philippe 2 Bernardi, Enrico 2 Blanc, Xavier 2 Blue, Pieter 2 Bourdarias, Christian 2 Campos Pinto, Martin 2 Caravenna, Laura 2 Charão, Ruy Coimbra 2 Chen, Gui-Qiang G. 2 Chen, Jun 2 Chen, Shuxing 2 Chruściel, Piotr Tadeusz 2 Cohen, Albert 2 Corli, Andrea 2 Costa, João Lopes 2 Coulombel, Jean-François 2 da Luz, Cleverson Roberto 2 Danchin, Raphaël 2 Desvillettes, Laurent 2 Di Francesco, Marco 2 Di Ruvo, Lorenzo 2 Duan, Renjun 2 Ducomet, Bernard 2 El Hajj, Ahmad 2 Ellis, George Francis Rayner 2 Feireisl, Eduard ...and 600 more Authors all top 5 Fields 513 Partial differential equations (35-XX) 135 Fluid mechanics (76-XX) 57 Relativity and gravitational theory (83-XX) 39 Numerical analysis (65-XX) 30 Mechanics of deformable solids (74-XX) 29 Global analysis, analysis on manifolds (58-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Dynamical systems and ergodic theory (37-XX) 14 Optics, electromagnetic theory (78-XX) 10 Quantum theory (81-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Differential geometry (53-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Ordinary differential equations (34-XX) 6 Probability theory and stochastic processes (60-XX) 5 Biology and other natural sciences (92-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operator theory (47-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 Measure and integration (28-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 420 Publications have been cited 4,265 times in 3,391 Documents Cited by ▼ Year ▼ Global well-posedness of the Benjamin-Ono equation in \(H^ 1(R)\). Zbl 1055.35104Tao, Terence 103 2004 Inhomogeneous Strichartz estimates. Zbl 1071.35025Foschi, Damiano 98 2005 Optimal entropy solutions for conservation laws with discontinuous flux-functions. Zbl 1093.35045Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D. 83 2005 Global smooth flows for the compressible Euler-Maxwell system: the relaxation case. Zbl 1292.76080Duan, Renjun 71 2011 A counterexample to well-posedness of entropy solutions to the compressible Euler system. Zbl 1304.35515Chiodaroli, Elisabetta 70 2014 Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046Baranger, Céline; Desvillettes, Laurent 64 2006 Existence of strong traces for quasi-solutions of multidimensional conservation laws. Zbl 1144.35037Panov, E. Yu. 63 2007 Mixed equations and transonic flow. Zbl 1055.35093Morawetz, Cathleen Synge 59 2004 Existence of strong traces for generalized solutions of multidimensional scalar conservation laws. Zbl 1145.35429Panov, E. Yu. 57 2005 The Cauchy problem for conservation laws with a multiplicative stochastic perturbation. Zbl 1263.35222Bauzet, Caroline; Vallet, Guy; Wittbold, Petra 49 2012 Delta shock waves as a limit of shock waves. Zbl 1145.35086Mitrović, Darko; Nedeljkov, Marko 48 2007 Occurrence and non-appearence of shocks in fractal Burgers equations. Zbl 1144.35038Alibaud, Nathaël; Droniou, Jéromé; Vovelle, Julien 48 2007 Decay estimates of solutions to a semi-linear dissipative plate equation. Zbl 1207.35229Sugitani, Yousuke; Kawashima, Shuichi 48 2010 Convergence rate for the compressible Navier–Stokes equations with external force. Zbl 1184.35251Ukai, Seiji; Yang, Tong; Zhao, Huijiang 43 2006 The mass-critical fourth-order Schrödinger equation in high dimensions. Zbl 1232.35156Pausader, Benoit; Shao, Shuanglin 43 2010 Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076Bouchut, François; Crippa, Gianluca 42 2013 From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation. Zbl 1089.35070Masmoudi, Nader; Nakanishi, Kenji 41 2005 Global conservative multipeakon solutions of the Camassa-Holm equation. Zbl 1128.65065Holden, Helge; Raynaud, Xavier 38 2007 Entropy stable approximations of Navier-Stokes equations with no artificial numerical viscosity. Zbl 1331.76102Tadmor, Eitan; Zhong, Weigang 34 2006 Decay of the Maxwell field on the Schwarzschild manifold. Zbl 1169.35057Blue, Pieter 34 2008 Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. Zbl 1207.35020Andreianov, B.; Bendahmane, M.; Karlsen, K. H. 32 2010 Global regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data. Zbl 1124.35043Tao, Terence 31 2007 \(L^p\) energy method for multi-dimensional viscous conservation laws and application to the stability of planar waves. Zbl 1067.35019Kawashima, Shuichi; Nishibata, Shinya; Nishikawa, Masataka 31 2004 Asymptotic properties for a semilinear plate equation in unbounded domains. Zbl 1182.35042da Luz, Cleverson Roberto; Charão, Ruy Coimbra 30 2009 Stationary wave associated with an inflow problem in the half-line for viscous heat-conductive gas. Zbl 1253.76111Nakamura, Tohru; Nishibata, Shinya 30 2011 Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes. Zbl 1250.83025Holzegel, Gustav 30 2012 Stability of rarefaction waves and vacuum states for the multidimensional Euler equations. Zbl 1168.35312Chen, Gui-Qiang; Chen, Jun 30 2007 Energy critical NLS in two space dimensions. Zbl 1191.35250Colliander, J.; Ibrahim, S.; Majdoub, M.; Masmoudi, N. 30 2009 A uniqueness condition for nonlinear convection-diffusion equations with discontinuous coefficients. Zbl 1180.35305Diehl, Stefan 29 2009 Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior. Zbl 1338.83094Andersson, Lars; Blue, Pieter 29 2015 Blow-up criteria for the Navier-Stokes equations of compressible fluids. Zbl 1142.76049Fan, Jishan; Jiang, Song 29 2008 Uniqueness of rarefaction waves in multidimensional compressible Euler system. Zbl 1327.35230Feireisl, Eduard; Kreml, Ondřej 28 2015 Small-data shock formation in solutions to 3D quasilinear wave equations: an overview. Zbl 1346.35005Holzegel, Gustav; Klainerman, Sergiu; Speck, Jared; Wong, Willie Wai-Yeung 28 2016 On diffusion phenomena for the linear wave equation with space-dependent damping. Zbl 1312.35026Wakasugi, Yuta 27 2014 A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044Lindblad, Hans; Soffer, Avy 27 2005 Generalized characteristics and the Hunter-Saxton equation. Zbl 1252.35008Dafermos, Constantine M. 27 2011 Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system. Zbl 1102.35005Kagei, Yoshiyuki; Kawashima, Shuichi 26 2006 The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074LeVeque, Randall J. 26 2004 Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion. Zbl 1328.35173Li, Huapeng; Pan, Ronghua; Zhang, Weizhe 25 2015 Global classical solutions for a compressible fluid-particle interaction model. Zbl 1284.35305Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon 24 2013 An integro-differential conservation law arising in a model of granular flow. Zbl 1248.35118Amadori, Debora; Shen, Wen 24 2012 Uniform estimates for transport-diffusion equations. Zbl 1117.35012Danchin, R. 24 2007 Graph solutions of nonlinear hyperbolic systems. Zbl 1071.35078LeFloch, Philippe G. 24 2004 Conformal scattering and the Goursat problem. Zbl 1074.83019Mason, Lionel J.; Nicolas, Jean-Philippe 24 2004 Structured population equations in metric spaces. Zbl 1204.28007Gwiazda, Piotr; Marciniak-Czochra, Anna 24 2010 The global future stability of the FLRW solutions to the dust-Einstein system with a positive cosmological constant. Zbl 1333.35281Hadžić, Mahir; Speck, Jared 23 2015 Rough solutions of the Einstein constraint equations on compact manifolds. Zbl 1076.58021Maxwell, David 23 2005 On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir 22 2018 The ellipticity principle for self-similar potential flows. Zbl 1089.35049Elling, Volker; Liu, Tai-Ping 22 2005 Hyperbolic systems of balance laws with weak dissipation. Zbl 1107.35076Dafermos, C. M. 22 2006 Gauge choice for the Yang-Mills equations using the Yang-Mills heat flow and local well-posedness in \(H^{1}\). Zbl 1295.35328Oh, Sung-Jin 22 2014 On the compactness of finite energy weak solutions to the quantum Navier-Stokes equations. Zbl 1390.35223Antonelli, Paolo; Spirito, Stefano 21 2018 Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section. Zbl 1263.35178Han, Ee; Hantke, Maren; Warnecke, Gerald 21 2012 Global characteristic problem for Einstein vacuum equations with small initial data. I: The initial data constraints. Zbl 1082.35151Caciotta, Giulio; Nicolò, Francesco 21 2005 On existence and uniqueness of entropy solutions to the Cauchy problem for a conservation law with discontinuous flux. Zbl 1181.35145Panov, E. Yu. 21 2009 Existence of solutions for the Aw-Rascle traffic flow model with vacuum. Zbl 1185.35144Godvik, Marte; Hanche-Olsen, Harald 21 2008 Local strong solution to the compressible magnetohydrodynamic flow with large data. Zbl 1229.35211Li, Xiaoli; Su, Ning; Wang, Dehua 20 2011 A priori estimates for the motion of a self-gravitating incompressible liquid with free surface boundary. Zbl 1234.35197Lindblad, Hans; Nordgren, Karl Håkan 20 2009 A degenerate parabolic-hyperbolic Cauchy problem with a stochastic force. Zbl 1327.35209Bauzet, Caroline; Vallet, Guy; Wittbold, Petra 20 2015 Decay property for the Timoshenko system with Fourier’s type heat conduction. Zbl 1288.35084Mori, Naofumi; Kawashima, Shuichi 20 2014 A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127Bouchut, François 19 2004 Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions. Zbl 1129.35066D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 19 2007 A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032Ambrosio, Luigi; De Lellis, Camillo 19 2004 Contractive metrics for scalar conservation laws. Zbl 1071.35081Bolley, François; Brenier, Yann; Loeper, Grégoire 19 2005 Global existence and decay of solutions for a quasi-linear dissipative plate equation. Zbl 1232.35023Liu, Yongqin; Kawashima, Shuichi 18 2011 A note on the collapse of small data self-gravitating massless collisionless matter. Zbl 1115.35135Dafermos, Mihalis 18 2006 Well-posedness of bounded solutions of the non-homogeneous initial-boundary value problem for the Ostrovsky-Hunter equation. Zbl 1330.35084Coclite, Giuseppe Maria; di Ruvo, Lorenzo 18 2015 Existence of weak solutions for a quasilinear version of Benney equations. Zbl 1148.35047Dias, João-Paulo; Figueira, Mário 18 2007 A priori estimates for many-body Hamiltonian evolution of interacting Boson system. Zbl 1160.35357Grillakis, Manoussos G.; Margetis, Dionisios 18 2008 Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations. Zbl 1395.76036Chen, Geng 17 2011 Global existence of shock front solutions to the axially symmetric piston problem for compressible fluids. Zbl 1047.35092Chen, Shuxing; Wang, Zejun; Zhang, Yongqian 17 2004 Local energy decay for solutions of multi-dimensional isotropic symmetric hyperbolic systems. Zbl 1108.35016Sideris, Thomas C.; Thomases, Becca 17 2006 Timelike minimal submanifolds of general co-dimension in Minkowski space time. Zbl 1108.35118Allen, Paul; Andersson, Lars; Isenberg, James 17 2006 Two-dimensional vortex sheets for the nonisentropic Euler equations: linear stability. Zbl 1170.35018Morando, Alessandro; Trebeschi, Paola 17 2008 Euler system for compressible fluids at a junction. Zbl 1168.35029Colombo, Rinaldo M.; Mauri, Cristina 17 2008 Stability of cylindrical transonic shocks for the two-dimensional steady compressible Euler system. Zbl 1158.35014Li, Liu; Yuan, Hairong 17 2008 On interface transmission conditions for conservation laws with discontinuous flux of general shape. Zbl 1336.35230Andreianov, Boris; Cancès, Clément 16 2015 Nonlinear well-posedness and rates of decay in thermoelasticity with second sound. Zbl 1153.35050Racke, Reinhard; Wang, Ya-Guang 16 2008 Lyapunov functional and blow-up results for a class of perturbations of semilinear wave equations in the critical case. Zbl 1255.35171Hamza, Mohamed Ali; Zaag, Hatem 15 2012 Transonic regular reflection for the nonlinear wave system. Zbl 1100.35068Jegdić, Katarina; Keyfitz, Barbara Lee; Čanić, Sunčica 15 2006 Quantum electrodynamics of relativistic bound states with cutoffs. Zbl 1081.81115Barbaroux, Jean-Marie; Dimassi, Mouez; Guillot, Jean-Claude 15 2004 Regularity of solutions to characteristic initial-boundary value problems for symmetrizable systems. Zbl 1195.35082Morando, Alessandro; Secchi, Paolo; Trebeschi, Paola 15 2009 Persistence properties for the Degasperis-Procesi equation. Zbl 1185.35228Henry, David 15 2008 Road networks with phase transitions. Zbl 1189.35176Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto 14 2010 The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 14 2009 Improved stability estimates for general scalar conservation laws. Zbl 1253.35079Lécureux-Mercier, Magali 14 2011 Structure of entropy solutions to scalar conservation laws with strictly convex flux. Zbl 1272.35145Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa 14 2012 Shock formation in the compressible Euler equations and related systems. Zbl 1452.35137Chen, Geng; Young, Robin; Zhang, Qingtian 14 2013 Short-time existence for scale-invariant Hamiltonian waves. Zbl 1098.35005Hunter, John K. 14 2006 Vacuum state for spherically symmetric solutions of the compressible Navier-Stokes equations. Zbl 1106.35054Xin, Zhouping; Yuan, Hongjun 14 2006 A dispersive approach to the artificial compressibility approximations of the Navier-Stokes equations in 3D. Zbl 1106.35047Donatelli, Donatella; Marcati, Pierangelo 14 2006 On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit. Zbl 1084.35065Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund 14 2005 \(L^p\) asymptotic behavior of perturbed viscous shock profiles. Zbl 1085.35103Raoofi, Mohammadreza 14 2005 On the Cauchy problem for scalar conservation laws in the class of Besicovitch almost periodic functions: global well-posedness and decay property. Zbl 1355.35137Panov, Evgeny Yu. 14 2016 Wave propagation for the compressible Navier-Stokes equations. Zbl 1327.76112Liu, Tai-Ping; Noh, Se Eun 14 2015 Existence theory for the kinetic-fluid coupling when small droplets are treated as part of the fluid. Zbl 1293.35020Benjelloun, Saad; Desvillettes, Laurent; Moussa, Ayman 14 2014 Symmetric-hyperbolic equations of motion for a hyperelastic material. Zbl 1180.35345Wagner, David H. 14 2009 New decay rates for a problem of plate dynamics with fractional damping. Zbl 1277.35052Charão, Ruy Coimbra; Da Luz, Cleverson Roberto; Ikehata, Ryo 13 2013 Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition. Zbl 1380.65158Karlsen, K. H.; Towers, J. D. 13 2017 Fractional \(BV\) spaces and applications to scalar conservation laws. Zbl 1320.35206Bourdarias, C.; Gisclon, M.; Junca, S. 13 2014 Scattering from infinity for semilinear wave equations satisfying the null condition or the weak null condition. Zbl 1518.35499Lindblad, Hans; Schlue, Volker 5 2023 \(L^2\)-blowup estimates of the wave equation and its application to local energy decay. Zbl 1518.35101Ikehata, Ryo 2 2023 On the failure of the chain rule for the divergence of Sobolev vector fields. Zbl 07742625Buck, Miriam; Modena, Stefano 1 2023 Linear and orbital stability analysis for solitary-wave solutions of variable-coefficient scalar-field equations. Zbl 1489.35013Alammari, Mashael; Snelson, Stanley 3 2022 Electromagnetic-gravitational perturbations of Kerr-Newman spacetime: the Teukolsky and Regge-Wheeler equations. Zbl 1486.83004Giorgi, Elena 2 2022 On decay of entropy solutions to multidimensional conservation laws in the case of perturbed periodic initial data. Zbl 1489.35168Panov, Evgeny Yu. 1 2022 Small data global regularity and scattering for 3D Ericksen-Leslie compressible hyperbolic liquid crystal model. Zbl 1517.35029Huang, Jiaxi; Jiang, Ning; Luo, Yi-Long; Zhao, Lifeng 1 2022 The one-sided Lipschitz condition in the follow-the-leader approximation of scalar conservation laws. Zbl 1517.35130Francesco, Marco Di; Stivaletta, Graziano 1 2022 The Cauchy problem for properly hyperbolic equations in one space variable. Zbl 1502.35065Spagnolo, Sergio; Taglialatela, Giovanni 1 2022 \(L^p\) contractive solutions for scalar conservation laws. Zbl 1498.35120Hinohara, Kihito; Minagawa, Natsuki; Ohwa, Hiroki; Suzuki, Hiroya; Ukita, Shou 1 2022 Energy scattering for a class of inhomogeneous nonlinear Schrödinger equation in two dimensions. Zbl 1473.35501Dinh, Van Duong 6 2021 Characterization of the dissipative structure for the symmetric hyperbolic system with non-symmetric relaxation. Zbl 1471.35192Ueda, Yoshihiro 4 2021 Smoothing and growth bound of periodic generalized Korteweg-de Vries equation. Zbl 1492.35279Oh, Seungly; Stefanov, Atanas G. 3 2021 Low regularity well-posedness for generalized Benjamin-Ono equations on the circle. Zbl 1490.35071Kim, Kihyun; Schippa, Robert 3 2021 The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings. Zbl 1473.35396Blanc, Xavier; Danchin, Raphaël; Ducomet, Bernard; Nečasová, Šárka 3 2021 Construction of excited multi-solitons for the 5D energy-critical wave equation. Zbl 1480.35093Yuan, Xu 2 2021 Entropy inequality and energy dissipation of inertial Qian-sheng model for nematic liquid crystals. Zbl 1473.35443Jiang, Ning; Luo, Yi-Long; Ma, Yangjun; Tang, Shaojun 2 2021 Shock waves in Euler equations for compressible medium. Zbl 1481.35277Liu, Tai-Ping 2 2021 Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations. Zbl 1490.35104Bertsch, Michiel; Smarrazzo, Flavia; Terracina, Andrea; Tesei, Alberto 1 2021 Existence of exponentially growing finite energy solutions for the charged Klein-Gordon equation on the de Sitter-Kerr-Newman metric. Zbl 1482.35127Besset, Nicolas; Häfner, Dietrich 1 2021 Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates. Zbl 1476.35267Costa, João L.; Mena, Filipe C. 1 2021 Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory. Zbl 1480.35047Taniue, Shogo; Kawashima, Shuichi 1 2021 An inverse scattering theorem for \((1+1)\)-dimensional semi-linear wave equations with null conditions. Zbl 1471.35336Li, Mengni 1 2021 The hidden null structure of the compressible Euler equations and a prelude to applications. Zbl 1441.35190Luk, Jonathan; Speck, Jared 9 2020 Well-posedness and blow-up properties for the generalized Hartree equation. Zbl 1473.35496Arora, Anudeep Kumar; Roudenko, Svetlana 7 2020 On Agemi-type structural conditions for a system of semilinear wave equations. Zbl 1455.35150Nishii, Yoshinori; Sunagawa, Hideaki 6 2020 Large data scattering for NLKG on waveguide \(\mathbb{R}^d\times\mathbb{T}\). Zbl 1455.35162Forcella, Luigi; Hari, Lysianne 4 2020 Existence and uniqueness results for a class of nonlocal conservation laws by means of a Lax-Hopf-type solution formula. Zbl 1478.35145Keimer, Alexander; Singh, Manish; Veeravalli, Tanya 3 2020 Time-periodic solutions of symmetric hyperbolic systems. Zbl 1471.35017Ohnawa, Masashi; Suzuki, Masahiro 3 2020 Global smooth solutions to 3D irrotational Euler equations for Chaplygin gases. Zbl 1456.35128Wei, Changhua; Wang, Yu-Zhu 3 2020 Resonance in rarefaction and shock curves: local analysis and numerics of the continuation method. Zbl 1478.35142Alvarez, A. C.; Goedert, G. T.; Marchesin, D. 2 2020 A non-local scalar conservation law describing navigation processes. Zbl 1479.76126Amorim, Paulo; Berthelin, Florent; Goudon, Thierry 2 2020 Asymptotic profiles for damped plate equations with rotational inertia terms. Zbl 1455.35017Fukushima, Tomonori; Ikehata, Ryo; Michihisa, Hironori 2 2020 Weakly stable hyperbolic boundary problems with large oscillatory coefficients: simple cascades. Zbl 1446.35070Williams, Mark 1 2020 Optimal jump set in hyperbolic conservation laws. Zbl 1471.35198Ghoshal, Shyam Sundar; Jana, Animesh 1 2020 On \(\Phi \)-variation for 1-d scalar conservation laws. Zbl 1471.35199Jenssen, Helge Kristian; Ridder, Johanna 1 2020 Influence of strong time-dependent oscillations in semilinear damped wave models. Zbl 1455.35014Aslan, Halit Sevki; Reissig, Michael 1 2020 Local existence and Serrin-type blow-up criterion for strong solutions to the radiation hydrodynamic equations. Zbl 1455.35198Li, Hao; Li, Yachun 1 2020 On the rarefaction waves of the two-dimensional compressible Euler equations for magnetohydrodynamics. Zbl 1455.35182Chen, Jianjun; Lai, Geng; Sheng, Wancheng 1 2020 Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping. Zbl 1445.35250Ikeda, Masahiro; Sobajima, Motohiro; Wakasugi, Yuta 12 2019 On uniqueness of solutions to conservation laws verifying a single entropy condition. Zbl 1453.35122Krupa, Sam G.; Vasseur, Alexis F. 10 2019 The wave equation near flat Friedmann-Lemaître-Robertson-Walker and Kasner Big Bang singularities. Zbl 1428.35584Alho, Artur; Fournodavlos, Grigorios; Franzen, Anne T. 9 2019 A priori estimates for a relativistic liquid with free surface boundary. Zbl 1441.35194Ginsberg, Daniel 7 2019 Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity. Zbl 1426.35028Angelopoulos, Yannis; Aretakis, Stefanos; Gajic, Dejan 7 2019 Decay of solutions of the wave equation in expanding cosmological spacetimes. Zbl 1437.35066Costa, João L.; Natário, José; Oliveira, Pedro F. C. 6 2019 Global large solutions to planar magnetohydrodynamics equations with temperature-dependent coefficients. Zbl 1441.35198Li, Yachun; Shang, Zhaoyang 5 2019 A general existence result for isothermal two-phase flows with phase transition. Zbl 1441.35189Hantke, Maren; Thein, Ferdinand 5 2019 Strong solutions to the density-dependent incompressible Cahn-Hilliard-Navier-Stokes system. Zbl 1441.35205Zhao, Xiaopeng 4 2019 Conformal scattering of the Maxwell-scalar field system on de Sitter space. Zbl 1445.83004Taujanskas, Grigalius 4 2019 Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid. Zbl 1442.76136Blokhin, A. M.; Tkachev, D. L. 4 2019 Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds. Zbl 1437.35482Galimberti, L.; Karlsen, K. H. 3 2019 Diffusion models for mixtures using a stiff dissipative hyperbolic formalism. Zbl 1428.35344Boudin, Laurent; Grec, Bérénice; Pavan, Vincent 3 2019 Growth-in-time of higher Sobolev norms of solutions to the 1D Dirac-Klein-Gordon system. Zbl 1428.35435Tesfahun, Achenef 3 2019 Global well-posedness and scattering for the defocusing cubic Schrödinger equation on waveguide \(\mathbb{R}^2 \times \mathbb{T}^2\). Zbl 1428.35548Zhao, Zehua 3 2019 \(L^p\) time asymptotic decay for general hyperbolic-parabolic balance laws with applications. Zbl 1437.35095Zeng, Yanni 2 2019 A necessary condition ensuring the strong hyperbolicity of first-order systems. Zbl 1437.35455Abalos, Fernando 2 2019 Classical solutions to a dissipative hyperbolic geometry flow in two space variables. Zbl 1428.53107Kong, De-Xing; Liu, Qi; Song, Chang-Ming 2 2019 A priori estimates in Sobolev spaces for a class of hyperbolic operators in presence of transition. 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Zbl 1346.35005Holzegel, Gustav; Klainerman, Sergiu; Speck, Jared; Wong, Willie Wai-Yeung 28 2016 ...and 320 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,011 Authors 35 Andreianov, Boris 31 Feireisl, Eduard 29 Kawashima, Shuichi 27 Coclite, Giuseppe Maria 26 Panov, Evgeniy Yu. 25 Colombo, Rinaldo M. 25 LeFloch, Philippe Gerard 24 Karlsen, Kenneth Hvistendahl 23 Goatin, Paola 23 Rosini, Massimiliano Daniele 23 Wang, Weike 22 Risebro, Nils Henrik 21 Ghoshal, Shyam Sundar 20 Guo, Boling 19 Chen, Gui-Qiang G. 19 Gwiazda, Piotr 19 Speck, Jared 18 Xin, Zhouping 18 Zumbrun, Kevin R. 17 Mishra, Siddhartha 17 Secchi, Paolo 17 Spirito, Stefano 17 Vasseur, Alexis F. 17 Wang, Dehua 16 Chen, Geng 16 Crippa, Gianluca 16 Gowda, G. D. Veerappa 16 Saanouni, Tarek 16 Shen, Chun 16 Ueda, Yoshihiro 16 Yin, Huicheng 15 Dias, João-Paulo 15 Duan, Renjun 15 Garavello, Mauro 15 Holden, Helge 15 Li, Yachun 15 Sun, Meina 15 Tan, Zhong 15 Yuan, Hairong 14 Adimurthi, A. 14 Carrillo de la Plata, José Antonio 14 Hu, Yanbo 14 Li, Hailiang 14 Naumkin, Pavel Ivanovich 14 Wang, Shu 14 Zhu, Changjiang 13 Dafermos, Constantine 13 Di Ruvo, Lorenzo 13 Ding, Min 13 Disconzi, Marcelo Mendes 13 Kreml, Ondřej 13 Morando, Alessandro 13 Rodnianski, Igor 13 Wang, Yuzhu 13 Wei, Changhua 13 Xu, Jiang 12 Bianchini, Stefano 12 Choi, Young-Pil 12 Grunert, Katrin 12 Ikehata, Ryo 12 Smulevici, Jacques 12 Valiente Kroon, Juan Antonio 12 Wakasugi, Yuta 12 Wu, Zhigang 12 Zhang, Yinghui 12 Zhao, Huijiang 11 Christoforou, Cleopatra C. 11 D’Abbicco, Marcello 11 Dinh, Van Duong 11 Donadello, Carlotta 11 Feng, Yuehong 11 Frid, Hermano 11 Hayashi, Nakao 11 Ikeda, Masahiro 11 Kagei, Yoshiyuki 11 Lindblad, Hans 11 Oliynyk, Todd Andrew 11 Popivanov, Nedyu Iv. 11 Rossi, Elena 11 Seo, Ihyeok 11 Trebeschi, Paola 11 Yao, Lei 11 Yin, Haiyan 10 Bachelot, Alain 10 Cancès, Clément 10 Chalons, Christophe 10 Chen, Robin Ming 10 Chiodaroli, Elisabetta 10 Corli, Andrea 10 Cui, Haibo 10 Di Francesco, Marco 10 El Hajj, Ahmad 10 Fajman, David 10 Folino, Raffaele 10 Ha, Seung-Yeal 10 Herty, Michael Matthias 10 Hofmanová, Martina 10 Masmoudi, Nader 10 Oh, Sung-Jin 10 Pecher, Hartmut ...and 2,911 more Authors all top 5 Cited in 353 Journals 272 Journal of Differential Equations 169 Journal of Hyperbolic Differential Equations 124 Journal of Mathematical Analysis and Applications 118 Archive for Rational Mechanics and Analysis 100 SIAM Journal on Mathematical Analysis 92 Communications in Mathematical Physics 85 Nonlinear Analysis. 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English Series ...and 253 more Journals all top 5 Cited in 51 Fields 3,034 Partial differential equations (35-XX) 1,199 Fluid mechanics (76-XX) 363 Numerical analysis (65-XX) 320 Relativity and gravitational theory (83-XX) 146 Quantum theory (81-XX) 144 Mechanics of deformable solids (74-XX) 138 Statistical mechanics, structure of matter (82-XX) 131 Differential geometry (53-XX) 116 Dynamical systems and ergodic theory (37-XX) 86 Global analysis, analysis on manifolds (58-XX) 84 Probability theory and stochastic processes (60-XX) 82 Operations research, mathematical programming (90-XX) 68 Biology and other natural sciences (92-XX) 61 Optics, electromagnetic theory (78-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 51 Operator theory (47-XX) 47 Functional analysis (46-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 41 Mechanics of particles and systems (70-XX) 40 Classical thermodynamics, heat transfer (80-XX) 38 Systems theory; control (93-XX) 36 Real functions (26-XX) 36 Ordinary differential equations (34-XX) 32 Integral equations (45-XX) 27 Astronomy and astrophysics (85-XX) 27 Geophysics (86-XX) 14 Approximations and expansions (41-XX) 12 Special functions (33-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Measure and integration (28-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Integral transforms, operational calculus (44-XX) 8 Algebraic geometry (14-XX) 7 General topology (54-XX) 6 General and overarching topics; collections (00-XX) 6 Statistics (62-XX) 5 Functions of a complex variable (30-XX) 4 History and biography (01-XX) 4 Topological groups, Lie groups (22-XX) 4 Potential theory (31-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 3 Nonassociative rings and algebras (17-XX) 2 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX) Citations by Year