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: 540 Publications (since 2004) References Indexed: 538 Publications with 12,385 References. all top 5 Latest Issues 20, No. 3 (2023) 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 Frid, Hermano 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 Donatelli, Donatella 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 Aursand, Peder K. 3 Bauzet, Caroline 3 Berthelin, Florent 3 Biswas, Imran H. 3 Blokhin, Aleksandr Mikhaĭlovich 3 Bouchut, François 3 Christoforou, Cleopatra C. 3 Coclite, Giuseppe Maria 3 Després, Bruno 3 Dias, João-Paulo 3 Fang, Yung-Fu 3 Flåtten, Tore 3 Garavello, Mauro 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 Vasseur, Alexis F. 3 Wang, Weike 3 Wei, Changhua 3 Xu, Jiang 3 Young, Robin 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 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, Geng 2 Chen, Gui-Qiang G. 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 ...and 608 more Authors all top 5 Fields 520 Partial differential equations (35-XX) 138 Fluid mechanics (76-XX) 57 Relativity and gravitational theory (83-XX) 40 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) 17 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) 8 Classical thermodynamics, heat transfer (80-XX) 7 Probability theory and stochastic processes (60-XX) 6 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 4 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operator theory (47-XX) 4 Astronomy and astrophysics (85-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 2 Functional analysis (46-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 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 433 Publications have been cited 4,543 times in 3,592 Documents Cited by ▼ Year ▼ Inhomogeneous Strichartz estimates. Zbl 1071.35025 Foschi, Damiano 108 2005 Global well-posedness of the Benjamin-Ono equation in \(H^ 1(R)\). Zbl 1055.35104 Tao, Terence 106 2004 Optimal entropy solutions for conservation laws with discontinuous flux-functions. Zbl 1093.35045 Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D. 88 2005 Global smooth flows for the compressible Euler-Maxwell system: the relaxation case. Zbl 1292.76080 Duan, Renjun 75 2011 A counterexample to well-posedness of entropy solutions to the compressible Euler system. Zbl 1304.35515 Chiodaroli, Elisabetta 72 2014 Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046 Baranger, Céline; Desvillettes, Laurent 69 2006 Existence of strong traces for quasi-solutions of multidimensional conservation laws. Zbl 1144.35037 Panov, E. Yu. 65 2007 Mixed equations and transonic flow. Zbl 1055.35093 Morawetz, Cathleen Synge 59 2004 Existence of strong traces for generalized solutions of multidimensional scalar conservation laws. Zbl 1145.35429 Panov, E. Yu. 57 2005 Delta shock waves as a limit of shock waves. Zbl 1145.35086 Mitrović, Darko; Nedeljkov, Marko 53 2007 Decay estimates of solutions to a semi-linear dissipative plate equation. Zbl 1207.35229 Sugitani, Yousuke; Kawashima, Shuichi 50 2010 The Cauchy problem for conservation laws with a multiplicative stochastic perturbation. Zbl 1263.35222 Bauzet, Caroline; Vallet, Guy; Wittbold, Petra 50 2012 Occurrence and non-appearence of shocks in fractal Burgers equations. Zbl 1144.35038 Alibaud, Nathaël; Droniou, Jéromé; Vovelle, Julien 48 2007 The mass-critical fourth-order Schrödinger equation in high dimensions. Zbl 1232.35156 Pausader, Benoit; Shao, Shuanglin 46 2010 Convergence rate for the compressible Navier–Stokes equations with external force. Zbl 1184.35251 Ukai, Seiji; Yang, Tong; Zhao, Huijiang 44 2006 From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation. Zbl 1089.35070 Masmoudi, Nader; Nakanishi, Kenji 43 2005 Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076 Bouchut, François; Crippa, Gianluca 43 2013 Global conservative multipeakon solutions of the Camassa-Holm equation. Zbl 1128.65065 Holden, Helge; Raynaud, Xavier 38 2007 Decay of the Maxwell field on the Schwarzschild manifold. Zbl 1169.35057 Blue, Pieter 36 2008 Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. Zbl 1207.35020 Andreianov, B.; Bendahmane, M.; Karlsen, K. H. 35 2010 Global regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data. Zbl 1124.35043 Tao, Terence 34 2007 Entropy stable approximations of Navier-Stokes equations with no artificial numerical viscosity. Zbl 1331.76102 Tadmor, Eitan; Zhong, Weigang 34 2006 Asymptotic properties for a semilinear plate equation in unbounded domains. Zbl 1182.35042 da Luz, Cleverson Roberto; Charão, Ruy Coimbra 32 2009 \(L^p\) energy method for multi-dimensional viscous conservation laws and application to the stability of planar waves. Zbl 1067.35019 Kawashima, Shuichi; Nishibata, Shinya; Nishikawa, Masataka 32 2004 Stationary wave associated with an inflow problem in the half-line for viscous heat-conductive gas. Zbl 1253.76111 Nakamura, Tohru; Nishibata, Shinya 32 2011 Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior. Zbl 1338.83094 Andersson, Lars; Blue, Pieter 32 2015 Blow-up criteria for the Navier-Stokes equations of compressible fluids. Zbl 1142.76049 Fan, Jishan; Jiang, Song 32 2008 Energy critical NLS in two space dimensions. Zbl 1191.35250 Colliander, J.; Ibrahim, S.; Majdoub, M.; Masmoudi, N. 31 2009 Small-data shock formation in solutions to 3D quasilinear wave equations: an overview. Zbl 1346.35005 Holzegel, Gustav; Klainerman, Sergiu; Speck, Jared; Wong, Willie Wai-Yeung 31 2016 Stability of rarefaction waves and vacuum states for the multidimensional Euler equations. Zbl 1168.35312 Chen, Gui-Qiang; Chen, Jun 30 2007 An integro-differential conservation law arising in a model of granular flow. Zbl 1248.35118 Amadori, Debora; Shen, Wen 30 2012 Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes. Zbl 1250.83025 Holzegel, Gustav 30 2012 A uniqueness condition for nonlinear convection-diffusion equations with discontinuous coefficients. Zbl 1180.35305 Diehl, Stefan 30 2009 Generalized characteristics and the Hunter-Saxton equation. Zbl 1252.35008 Dafermos, Constantine M. 30 2011 The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074 LeVeque, Randall J. 28 2004 Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system. Zbl 1102.35005 Kagei, Yoshiyuki; Kawashima, Shuichi 28 2006 A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044 Lindblad, Hans; Soffer, Avy 28 2005 Uniqueness of rarefaction waves in multidimensional compressible Euler system. Zbl 1327.35230 Feireisl, Eduard; Kreml, Ondřej 28 2015 On diffusion phenomena for the linear wave equation with space-dependent damping. Zbl 1312.35026 Wakasugi, Yuta 28 2014 Global classical solutions for a compressible fluid-particle interaction model. Zbl 1284.35305 Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon 28 2013 Graph solutions of nonlinear hyperbolic systems. Zbl 1071.35078 LeFloch, Philippe G. 26 2004 Conformal scattering and the Goursat problem. Zbl 1074.83019 Mason, Lionel J.; Nicolas, Jean-Philippe 25 2004 Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion. Zbl 1328.35173 Li, Huapeng; Pan, Ronghua; Zhang, Weizhe 25 2015 The global future stability of the FLRW solutions to the dust-Einstein system with a positive cosmological constant. Zbl 1333.35281 Hadžić, Mahir; Speck, Jared 25 2015 Uniform estimates for transport-diffusion equations. Zbl 1117.35012 Danchin, R. 24 2007 A degenerate parabolic-hyperbolic Cauchy problem with a stochastic force. Zbl 1327.35209 Bauzet, Caroline; Vallet, Guy; Wittbold, Petra 24 2015 Structured population equations in metric spaces. Zbl 1204.28007 Gwiazda, Piotr; Marciniak-Czochra, Anna 24 2010 Rough solutions of the Einstein constraint equations on compact manifolds. Zbl 1076.58021 Maxwell, David 23 2005 On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023 Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir 23 2018 Existence of solutions for the Aw-Rascle traffic flow model with vacuum. Zbl 1185.35144 Godvik, Marte; Hanche-Olsen, Harald 23 2008 Decay property for the Timoshenko system with Fourier’s type heat conduction. Zbl 1288.35084 Mori, Naofumi; Kawashima, Shuichi 23 2014 The ellipticity principle for self-similar potential flows. Zbl 1089.35049 Elling, Volker; Liu, Tai-Ping 22 2005 On existence and uniqueness of entropy solutions to the Cauchy problem for a conservation law with discontinuous flux. Zbl 1181.35145 Panov, E. Yu. 22 2009 Hyperbolic systems of balance laws with weak dissipation. Zbl 1107.35076 Dafermos, C. M. 22 2006 Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section. Zbl 1263.35178 Han, Ee; Hantke, Maren; Warnecke, Gerald 22 2012 Gauge choice for the Yang-Mills equations using the Yang-Mills heat flow and local well-posedness in \(H^{1}\). Zbl 1295.35328 Oh, Sung-Jin 22 2014 On the compactness of finite energy weak solutions to the quantum Navier-Stokes equations. Zbl 1390.35223 Antonelli, Paolo; Spirito, Stefano 21 2018 Global characteristic problem for Einstein vacuum equations with small initial data. I: The initial data constraints. Zbl 1082.35151 Caciotta, Giulio; Nicolò, Francesco 21 2005 Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions. Zbl 1129.35066 D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 20 2007 Local strong solution to the compressible magnetohydrodynamic flow with large data. Zbl 1229.35211 Li, Xiaoli; Su, Ning; Wang, Dehua 20 2011 A priori estimates for the motion of a self-gravitating incompressible liquid with free surface boundary. Zbl 1234.35197 Lindblad, Hans; Nordgren, Karl Håkan 20 2009 Contractive metrics for scalar conservation laws. Zbl 1071.35081 Bolley, François; Brenier, Yann; Loeper, Grégoire 20 2005 A note on the collapse of small data self-gravitating massless collisionless matter. Zbl 1115.35135 Dafermos, Mihalis 19 2006 Global existence and decay of solutions for a quasi-linear dissipative plate equation. Zbl 1232.35023 Liu, Yongqin; Kawashima, Shuichi 19 2011 A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127 Bouchut, François 19 2004 A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032 Ambrosio, Luigi; De Lellis, Camillo 19 2004 Wave propagation for the compressible Navier-Stokes equations. Zbl 1327.76112 Liu, Tai-Ping; Noh, Se Eun 19 2015 Existence of weak solutions for a quasilinear version of Benney equations. Zbl 1148.35047 Dias, João-Paulo; Figueira, Mário 18 2007 Global existence of shock front solutions to the axially symmetric piston problem for compressible fluids. Zbl 1047.35092 Chen, Shuxing; Wang, Zejun; Zhang, Yongqian 18 2004 Two-dimensional vortex sheets for the nonisentropic Euler equations: linear stability. Zbl 1170.35018 Morando, Alessandro; Trebeschi, Paola 18 2008 Euler system for compressible fluids at a junction. Zbl 1168.35029 Colombo, Rinaldo M.; Mauri, Cristina 18 2008 A priori estimates for many-body Hamiltonian evolution of interacting Boson system. Zbl 1160.35357 Grillakis, Manoussos G.; Margetis, Dionisios 18 2008 Well-posedness of bounded solutions of the non-homogeneous initial-boundary value problem for the Ostrovsky-Hunter equation. Zbl 1330.35084 Coclite, Giuseppe Maria; di Ruvo, Lorenzo 18 2015 On interface transmission conditions for conservation laws with discontinuous flux of general shape. Zbl 1336.35230 Andreianov, Boris; Cancès, Clément 18 2015 Stability of cylindrical transonic shocks for the two-dimensional steady compressible Euler system. Zbl 1158.35014 Li, Liu; Yuan, Hairong 18 2008 Local energy decay for solutions of multi-dimensional isotropic symmetric hyperbolic systems. Zbl 1108.35016 Sideris, Thomas C.; Thomases, Becca 17 2006 Timelike minimal submanifolds of general co-dimension in Minkowski space time. Zbl 1108.35118 Allen, Paul; Andersson, Lars; Isenberg, James 17 2006 Regularity of solutions to characteristic initial-boundary value problems for symmetrizable systems. Zbl 1195.35082 Morando, Alessandro; Secchi, Paolo; Trebeschi, Paola 17 2009 Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations. Zbl 1395.76036 Chen, Geng 17 2011 Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition. Zbl 1380.65158 Karlsen, K. H.; Towers, J. D. 16 2017 Nonlinear well-posedness and rates of decay in thermoelasticity with second sound. Zbl 1153.35050 Racke, Reinhard; Wang, Ya-Guang 16 2008 A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042 Klainerman, Sergiu; Rodnianski, Igor 15 2007 Lyapunov functional and blow-up results for a class of perturbations of semilinear wave equations in the critical case. Zbl 1255.35171 Hamza, Mohamed Ali; Zaag, Hatem 15 2012 Road networks with phase transitions. Zbl 1189.35176 Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto 15 2010 Strongly hyperbolic systems in general relativity. Zbl 1074.58014 Reula, Oscar A. 15 2004 Quantum electrodynamics of relativistic bound states with cutoffs. Zbl 1081.81115 Barbaroux, Jean-Marie; Dimassi, Mouez; Guillot, Jean-Claude 15 2004 Transonic regular reflection for the nonlinear wave system. Zbl 1100.35068 Jegdić, Katarina; Keyfitz, Barbara Lee; Čanić, Sunčica 15 2006 A dispersive approach to the artificial compressibility approximations of the Navier-Stokes equations in 3D. Zbl 1106.35047 Donatelli, Donatella; Marcati, Pierangelo 15 2006 On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit. Zbl 1084.35065 Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund 15 2005 On the Cauchy problem for scalar conservation laws in the class of Besicovitch almost periodic functions: global well-posedness and decay property. Zbl 1355.35137 Panov, Evgeny Yu. 15 2016 A multilevel Monte Carlo finite difference method for random scalar degenerate convection-diffusion equations. Zbl 1373.35179 Koley, Ujjwal; Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska 15 2017 Persistence properties for the Degasperis-Procesi equation. Zbl 1185.35228 Henry, David 15 2008 Shock formation in the compressible Euler equations and related systems. Zbl 1452.35137 Chen, Geng; Young, Robin; Zhang, Qingtian 15 2013 Structure of entropy solutions to scalar conservation laws with strictly convex flux. Zbl 1272.35145 Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa 15 2012 Mapping properties of heat kernels, maximal regularity, and semi-linear parabolic equations on noncompact manifolds. Zbl 1114.58019 Mazzucato, Anna L.; Nistor, Victor 14 2006 The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248 Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 14 2009 Symmetric-hyperbolic equations of motion for a hyperelastic material. Zbl 1180.35345 Wagner, David H. 14 2009 \(L^p\) asymptotic behavior of perturbed viscous shock profiles. Zbl 1085.35103 Raoofi, Mohammadreza 14 2005 Short-time existence for scale-invariant Hamiltonian waves. Zbl 1098.35005 Hunter, John K. 14 2006 Vacuum state for spherically symmetric solutions of the compressible Navier-Stokes equations. Zbl 1106.35054 Xin, Zhouping; Yuan, Hongjun 14 2006 Scattering from infinity for semilinear wave equations satisfying the null condition or the weak null condition. Zbl 1518.35499 Lindblad, Hans; Schlue, Volker 6 2023 \(L^2\)-blowup estimates of the wave equation and its application to local energy decay. Zbl 1518.35101 Ikehata, Ryo 5 2023 A general convex integration scheme for the isentropic compressible Euler equations. Zbl 1524.35445 Dębiec, Tomasz; Skipper, Jack; Wiedemann, Emil 1 2023 Solutions of kinetic equations related to non-local conservation laws. Zbl 1518.35484 Berthelin, Florent 1 2023 On the failure of the chain rule for the divergence of Sobolev vector fields. Zbl 07742625 Buck, Miriam; Modena, Stefano 1 2023 Shock profiles of Navier-Stokes equations for compressible medium. Zbl 1527.35174 Chang, Chueh-Hsin; Liu, Tai-Ping 1 2023 Electromagnetic-gravitational perturbations of Kerr-Newman spacetime: the Teukolsky and Regge-Wheeler equations. Zbl 1486.83004 Giorgi, Elena 3 2022 Linear and orbital stability analysis for solitary-wave solutions of variable-coefficient scalar-field equations. Zbl 1489.35013 Alammari, Mashael; Snelson, Stanley 3 2022 \(L^p\) contractive solutions for scalar conservation laws. Zbl 1498.35120 Hinohara, Kihito; Minagawa, Natsuki; Ohwa, Hiroki; Suzuki, Hiroya; Ukita, Shou 2 2022 Lipschitz stability for the Hunter-Saxton equation. Zbl 1498.35045 Grunert, Katrin; Tandy, Matthew 2 2022 On decay of entropy solutions to multidimensional conservation laws in the case of perturbed periodic initial data. Zbl 1489.35168 Panov, Evgeny Yu. 1 2022 The Cauchy problem for properly hyperbolic equations in one space variable. Zbl 1502.35065 Spagnolo, Sergio; Taglialatela, Giovanni 1 2022 Stable cosmologies with collisionless charged matter. Zbl 1512.83004 Barzegar, Hamed; Fajman, David 1 2022 Small data global regularity and scattering for 3D Ericksen-Leslie compressible hyperbolic liquid crystal model. Zbl 1517.35029 Huang, 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 1517.35130 Francesco, Marco Di; Stivaletta, Graziano 1 2022 Energy scattering for a class of inhomogeneous nonlinear Schrödinger equation in two dimensions. Zbl 1473.35501 Dinh, Van Duong 8 2021 Characterization of the dissipative structure for the symmetric hyperbolic system with non-symmetric relaxation. Zbl 1471.35192 Ueda, Yoshihiro 6 2021 Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates. Zbl 1476.35267 Costa, João L.; Mena, Filipe C. 3 2021 Smoothing and growth bound of periodic generalized Korteweg-de Vries equation. Zbl 1492.35279 Oh, Seungly; Stefanov, Atanas G. 3 2021 Low regularity well-posedness for generalized Benjamin-Ono equations on the circle. Zbl 1490.35071 Kim, Kihyun; Schippa, Robert 3 2021 An inverse scattering theorem for \((1+1)\)-dimensional semi-linear wave equations with null conditions. Zbl 1471.35336 Li, Mengni 3 2021 The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings. Zbl 1473.35396 Blanc, Xavier; Danchin, Raphaël; Ducomet, Bernard; Nečasová, Šárka 3 2021 Existence of exponentially growing finite energy solutions for the charged Klein-Gordon equation on the de Sitter-Kerr-Newman metric. Zbl 1482.35127 Besset, Nicolas; Häfner, Dietrich 2 2021 Construction of excited multi-solitons for the 5D energy-critical wave equation. Zbl 1480.35093 Yuan, Xu 2 2021 Entropy inequality and energy dissipation of inertial Qian-sheng model for nematic liquid crystals. Zbl 1473.35443 Jiang, Ning; Luo, Yi-Long; Ma, Yangjun; Tang, Shaojun 2 2021 Shock waves in Euler equations for compressible medium. Zbl 1481.35277 Liu, Tai-Ping 2 2021 Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory. Zbl 1480.35047 Taniue, Shogo; Kawashima, Shuichi 1 2021 Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations. Zbl 1490.35104 Bertsch, Michiel; Smarrazzo, Flavia; Terracina, Andrea; Tesei, Alberto 1 2021 Local existence with low regularity for the 2D compressible Euler equations. Zbl 1490.76181 Zhang, Huali 1 2021 Global existence results for semi-linear structurally damped wave equations with nonlinear convection. Zbl 1481.35051 Dao, Tuan Anh; Takeda, Hiroshi 1 2021 The hidden null structure of the compressible Euler equations and a prelude to applications. Zbl 1441.35190 Luk, Jonathan; Speck, Jared 11 2020 On Agemi-type structural conditions for a system of semilinear wave equations. Zbl 1455.35150 Nishii, Yoshinori; Sunagawa, Hideaki 8 2020 Well-posedness and blow-up properties for the generalized Hartree equation. Zbl 1473.35496 Arora, Anudeep Kumar; Roudenko, Svetlana 7 2020 Large data scattering for NLKG on waveguide \(\mathbb{R}^d\times\mathbb{T}\). Zbl 1455.35162 Forcella, 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 1478.35145 Keimer, Alexander; Singh, Manish; Veeravalli, Tanya 4 2020 On the rarefaction waves of the two-dimensional compressible Euler equations for magnetohydrodynamics. Zbl 1455.35182 Chen, Jianjun; Lai, Geng; Sheng, Wancheng 3 2020 Global smooth solutions to 3D irrotational Euler equations for Chaplygin gases. Zbl 1456.35128 Wei, Changhua; Wang, Yu-Zhu 3 2020 Time-periodic solutions of symmetric hyperbolic systems. Zbl 1471.35017 Ohnawa, Masashi; Suzuki, Masahiro 3 2020 Asymptotic profiles for damped plate equations with rotational inertia terms. Zbl 1455.35017 Fukushima, Tomonori; Ikehata, Ryo; Michihisa, Hironori 2 2020 Resonance in rarefaction and shock curves: local analysis and numerics of the continuation method. Zbl 1478.35142 Alvarez, A. C.; Goedert, G. T.; Marchesin, D. 2 2020 A non-local scalar conservation law describing navigation processes. Zbl 1479.76126 Amorim, Paulo; Berthelin, Florent; Goudon, Thierry 2 2020 On \(\Phi \)-variation for 1-d scalar conservation laws. Zbl 1471.35199 Jenssen, Helge Kristian; Ridder, Johanna 2 2020 Existence and uniqueness result for an hyperbolic scalar conservation law with a stochastic force using a finite volume approximation. Zbl 1481.35415 Bauzet, Caroline; Castel, Vincent; Charrier, Julia 1 2020 Scattering for the one-dimensional Klein-Gordon equation with exponential nonlinearity. Zbl 1455.35164 Ikeda, Masahiro; Inui, Takahisa; Okamoto, Mamoru 1 2020 Influence of strong time-dependent oscillations in semilinear damped wave models. Zbl 1455.35014 Aslan, Halit Sevki; Reissig, Michael 1 2020 Local existence and Serrin-type blow-up criterion for strong solutions to the radiation hydrodynamic equations. Zbl 1455.35198 Li, Hao; Li, Yachun 1 2020 Weakly stable hyperbolic boundary problems with large oscillatory coefficients: simple cascades. Zbl 1446.35070 Williams, Mark 1 2020 Optimal jump set in hyperbolic conservation laws. Zbl 1471.35198 Ghoshal, Shyam Sundar; Jana, Animesh 1 2020 Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping. Zbl 1445.35250 Ikeda, Masahiro; Sobajima, Motohiro; Wakasugi, Yuta 13 2019 On uniqueness of solutions to conservation laws verifying a single entropy condition. Zbl 1453.35122 Krupa, Sam G.; Vasseur, Alexis F. 11 2019 The wave equation near flat Friedmann-Lemaître-Robertson-Walker and Kasner Big Bang singularities. Zbl 1428.35584 Alho, Artur; Fournodavlos, Grigorios; Franzen, Anne T. 9 2019 Decay of solutions of the wave equation in expanding cosmological spacetimes. Zbl 1437.35066 Costa, João L.; Natário, José; Oliveira, Pedro F. C. 8 2019 Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity. Zbl 1426.35028 Angelopoulos, Yannis; Aretakis, Stefanos; Gajic, Dejan 7 2019 A priori estimates for a relativistic liquid with free surface boundary. Zbl 1441.35194 Ginsberg, Daniel 7 2019 Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid. Zbl 1442.76136 Blokhin, A. M.; Tkachev, D. L. 7 2019 Global well-posedness and scattering for the defocusing cubic Schrödinger equation on waveguide \(\mathbb{R}^2 \times \mathbb{T}^2\). Zbl 1428.35548 Zhao, Zehua 6 2019 Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds. Zbl 1437.35482 Galimberti, L.; Karlsen, K. H. 6 2019 A general existence result for isothermal two-phase flows with phase transition. Zbl 1441.35189 Hantke, Maren; Thein, Ferdinand 6 2019 Strong solutions to the density-dependent incompressible Cahn-Hilliard-Navier-Stokes system. Zbl 1441.35205 Zhao, Xiaopeng 6 2019 Global large solutions to planar magnetohydrodynamics equations with temperature-dependent coefficients. Zbl 1441.35198 Li, Yachun; Shang, Zhaoyang 5 2019 Conformal scattering of the Maxwell-scalar field system on de Sitter space. Zbl 1445.83004 Taujanskas, Grigalius 5 2019 Diffusion models for mixtures using a stiff dissipative hyperbolic formalism. Zbl 1428.35344 Boudin, Laurent; Grec, Bérénice; Pavan, Vincent 4 2019 Classical solutions to a dissipative hyperbolic geometry flow in two space variables. Zbl 1428.53107 Kong, De-Xing; Liu, Qi; Song, Chang-Ming 3 2019 Growth-in-time of higher Sobolev norms of solutions to the 1D Dirac-Klein-Gordon system. Zbl 1428.35435 Tesfahun, Achenef 3 2019 A necessary condition ensuring the strong hyperbolicity of first-order systems. Zbl 1437.35455 Abalos, Fernando 2 2019 A priori estimates in Sobolev spaces for a class of hyperbolic operators in presence of transition. Zbl 1426.35046 Barbagallo, Annamaria; Esposito, Vincenzo 2 2019 \(L^p\) time asymptotic decay for general hyperbolic-parabolic balance laws with applications. Zbl 1437.35095 Zeng, Yanni 2 2019 On the structure of BV entropy solutions for hyperbolic systems of balance laws with general flux function. Zbl 1435.35229 Ancona, Fabio; Caravenna, Laura; Marson, Andrea 1 2019 Well-posedness and blow-up criterion for the Chaplygin gas equations in \(\mathbb{R}^N\). Zbl 1441.35167 Wang, Zhen; Wu, Xinglong 1 2019 On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023 Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir 23 2018 On the compactness of finite energy weak solutions to the quantum Navier-Stokes equations. Zbl 1390.35223 Antonelli, Paolo; Spirito, Stefano 21 2018 Regularity estimates for scalar conservation laws in one space dimension. Zbl 1437.35492 Marconi, Elio 12 2018 Low regularity Cauchy problem for the fifth-order modified KdV equations on \(\mathbb{T}\). Zbl 1417.35172 Kwak, Chulkwang 10 2018 The weak null condition and Kaluza-Klein spacetimes. Zbl 1394.35500 Wyatt, Zoe 10 2018 Definitions of solutions to the IBVP for multi-dimensional scalar balance laws. Zbl 1406.35189 Rossi, Elena 10 2018 Uniform regularity for free-boundary Navier-Stokes equations with surface tension. Zbl 1383.76039 Elgindi, Tarek; Lee, Donghyun 9 2018 New structural conditions on decay property with regularity-loss for symmetric hyperbolic systems with non-symmetric relaxation. Zbl 1407.35029 Ueda, Yoshihiro; Duan, Renjun; Kawashima, Shuichi 9 2018 Analysis of a system of nonlocal balance laws with weighted work in progress. Zbl 1437.35488 Keimer, Alexander; Leugering, Günter; Sarkar, Tanmay 9 2018 The Vlasov-Poisson equation in \(\mathbb{R}^3\) with infinite charge and velocities. Zbl 1416.82041 Caprino, Silvia; Cavallaro, Guido; Marchioro, Carlo 6 2018 Existence and Lipschitz stability for \(\alpha\)-dissipative solutions of the two-component Hunter-Saxton system. Zbl 1417.35169 Grunert, Katrin; Nordli, Anders 6 2018 The two-dimensional unsteady supersonic flow around a convex corner. Zbl 1418.35253 Sheng, Wancheng; You, Shouke 5 2018 Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities. Zbl 1406.35190 Towers, John D. 5 2018 Non-uniqueness of energy-conservative solutions to the isentropic compressible two-dimensional Euler equations. 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Zbl 1393.76142 Shi, Weixuan; Xu, Jiang 1 2018 Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions. Zbl 1393.60069 Lv, Guangying; Wu, Jiang-Lun 1 2018 Weak vs. \(\mathcal{D}\)-solutions to linear hyperbolic first-order systems with constant coefficients. Zbl 1406.35171 Katzourakis, Nikos 1 2018 Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition. Zbl 1380.65158 Karlsen, K. H.; Towers, J. D. 16 2017 A multilevel Monte Carlo finite difference method for random scalar degenerate convection-diffusion equations. Zbl 1373.35179 Koley, Ujjwal; Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska 15 2017 Slow motion for a hyperbolic variation of Allen-Cahn equation in one space dimension. Zbl 1391.35028 Folino, Raffaele 12 2017 Local well-posedness for the quantum Zakharov system in one spatial dimension. Zbl 1364.35294 Fang, Yung-Fu; Shih, Hsi-Wei; Wang, Kuan-Hsiang 10 2017 Global existence theory for general hyperbolic-parabolic balance laws with application. Zbl 1383.35126 Zeng, Yanni 8 2017 Global solutions of quasilinear wave-Klein-Gordon system in two-space dimension: technical tools. Zbl 1386.35276 Ma, Yue 8 2017 Global solutions of quasilinear wave-Klein-Gordon system in two-space dimension: completion of the proof. Zbl 1386.35277 Ma, Yue 8 2017 The Cauchy problem for the Aw-Rascle-Zhang traffic model with locally constrained flow. Zbl 1382.35161 Garavello, Mauro; Villa, Stefano 7 2017 Homogenization of nonlinear hyperbolic stochastic equation via Tartar’s method. Zbl 1391.35039 Mohammed, Mogtaba 6 2017 ...and 333 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,156 Authors 36 Andreianov, Boris 32 Feireisl, Eduard 29 Kawashima, Shuichi 28 Coclite, Giuseppe Maria 26 Colombo, Rinaldo M. 26 Karlsen, Kenneth Hvistendahl 26 LeFloch, Philippe Gerard 26 Panov, Evgeniy Yu. 24 Goatin, Paola 24 Wang, Weike 23 Rosini, Massimiliano Daniele 22 Ghoshal, Shyam Sundar 22 Risebro, Nils Henrik 21 Guo, Boling 20 Saanouni, Tarek 20 Speck, Jared 19 Chen, Gui-Qiang G. 19 Gwiazda, Piotr 19 Shen, Chun 19 Xin, Zhouping 18 Secchi, Paolo 18 Sun, Meina 18 Ueda, Yoshihiro 18 Vasseur, Alexis F. 18 Wang, Dehua 18 Zumbrun, Kevin R. 17 Garavello, Mauro 17 Mishra, Siddhartha 17 Spirito, Stefano 17 Yuan, Hairong 16 Crippa, Gianluca 16 Duan, Renjun 16 Gowda, G. D. Veerappa 16 Holden, Helge 16 Wu, Zhigang 16 Yin, Huicheng 15 Adimurthi, A. 15 Chen, Geng 15 Dias, João-Paulo 15 Disconzi, Marcelo Mendes 15 Li, Hailiang 15 Li, Yachun 15 Tan, Zhong 15 Wang, Shu 15 Zhu, Changjiang 14 Carrillo de la Plata, José Antonio 14 Ding, Min 14 Hu, Yanbo 14 Naumkin, Pavel Ivanovich 14 Wei, Changhua 14 Xu, Jiang 13 Dafermos, Constantine 13 Di Ruvo, Lorenzo 13 Grunert, Katrin 13 Ikehata, Ryo 13 Kreml, Ondřej 13 Morando, Alessandro 13 Rodnianski, Igor 13 Rossi, Elena 13 Wakasugi, Yuta 13 Wang, Yuzhu 13 Zhang, Yinghui 12 Bianchini, Stefano 12 Choi, Young-Pil 12 D’Abbicco, Marcello 12 Feng, Yuehong 12 Frid, Hermano 12 Smulevici, Jacques 12 Tataru, Daniel 12 Valiente Kroon, Juan Antonio 12 Yin, Haiyan 12 Zhao, Huijiang 11 Chen, Robin Ming 11 Christoforou, Cleopatra C. 11 Dinh, Van Duong 11 Donadello, Carlotta 11 Hayashi, Nakao 11 Herty, Michael Matthias 11 Ikeda, Masahiro 11 Kagei, Yoshiyuki 11 Lindblad, Hans 11 Masmoudi, Nader 11 Oliynyk, Todd Andrew 11 Peng, Yuejun 11 Popivanov, Nedyu Iv. 11 Seo, Ihyeok 11 Trebeschi, Paola 11 Wiedemann, Emil 11 Yao, Lei 10 Bachelot, Alain 10 Bürger, Raimund 10 Cancès, Clément 10 Chalons, Christophe 10 Chiodaroli, Elisabetta 10 Corli, Andrea 10 Cui, Haibo 10 Di Francesco, Marco 10 El Hajj, Ahmad 10 Fajman, David 10 Folino, Raffaele ...and 3,056 more Authors all top 5 Cited in 364 Journals 279 Journal of Differential Equations 175 Journal of Hyperbolic Differential Equations 128 Journal of Mathematical Analysis and Applications 119 Archive for Rational Mechanics and Analysis 106 SIAM Journal on Mathematical Analysis 93 Communications in Mathematical Physics 89 Journal of Mathematical Physics 86 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 73 Discrete and Continuous Dynamical Systems 71 ZAMP. Zeitschrift für angewandte Mathematik und Physik 63 Communications on Pure and Applied Analysis 56 Communications in Partial Differential Equations 54 Journal of Computational Physics 53 Nonlinear Analysis. Real World Applications 50 Journal of Functional Analysis 45 Mathematical Methods in the Applied Sciences 45 Annales Henri Poincaré 41 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 41 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 41 Journal of Evolution Equations 40 Networks and Heterogeneous Media 37 Nonlinearity 36 Journal de Mathématiques Pures et Appliquées. Neuvième Série 36 Journal of Mathematical Fluid Mechanics 34 Classical and Quantum Gravity 34 NoDEA. 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Serie Quarta 7 Acta Mathematicae Applicatae Sinica. English Series 7 SIAM Journal on Applied Mathematics 7 Bulletin of the American Mathematical Society. New Series 7 Selecta Mathematica. New Series 7 Bulletin des Sciences Mathématiques 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 International Journal of Differential Equations 7 Stochastic and Partial Differential Equations. Analysis and Computations 7 Evolution Equations and Control Theory 7 Communications in Mathematical Analysis and Applications ...and 264 more Journals all top 5 Cited in 52 Fields 3,211 Partial differential equations (35-XX) 1,270 Fluid mechanics (76-XX) 400 Numerical analysis (65-XX) 330 Relativity and gravitational theory (83-XX) 155 Quantum theory (81-XX) 154 Mechanics of deformable solids (74-XX) 146 Statistical mechanics, structure of matter (82-XX) 134 Differential geometry (53-XX) 124 Dynamical systems and ergodic theory (37-XX) 100 Probability theory and stochastic processes (60-XX) 92 Global analysis, analysis on manifolds (58-XX) 89 Operations research, mathematical programming (90-XX) 71 Biology and other natural sciences (92-XX) 67 Optics, electromagnetic theory (78-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 57 Operator theory (47-XX) 52 Functional analysis (46-XX) 51 Harmonic analysis on Euclidean spaces (42-XX) 46 Classical thermodynamics, heat transfer (80-XX) 43 Systems theory; control (93-XX) 42 Mechanics of particles and systems (70-XX) 39 Real functions (26-XX) 39 Ordinary differential equations (34-XX) 34 Integral equations (45-XX) 31 Geophysics (86-XX) 29 Astronomy and astrophysics (85-XX) 17 Approximations and expansions (41-XX) 13 Special functions (33-XX) 12 Measure and integration (28-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Integral transforms, operational calculus (44-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Algebraic geometry (14-XX) 7 General and overarching topics; collections (00-XX) 7 General topology (54-XX) 7 Statistics (62-XX) 5 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 4 History and biography (01-XX) 4 Potential theory (31-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 3 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 \(K\)-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX) Citations by Year