# zbMATH — the first resource for mathematics

## 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: Indexed cover-to-cover
 Documents Indexed: 477 Publications (since 2004) References Indexed: 475 Publications with 10,648 References.
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#### Latest Issues

 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)
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#### Authors

 8 Kawashima, Shuichi 7 Marchesin, Dan 6 Dafermos, Constantine M. 6 Karlsen, Kenneth Hvistendahl 5 Jenssen, Helge Kristian 5 Klainerman, Sergiu 5 Morando, Alessandro 5 Risebro, Nils Henrik 5 Secchi, Paolo 4 Colliander, James E. 4 Colombo, Rinaldo M. 4 Frid, Hermano 4 Kong, Dexing 4 Masmoudi, Nader 4 Panov, Evgeniy Yu. 4 Speck, Jared 4 Trebeschi, Paola 3 Adimurthi, A. 3 Amadori, Debora 3 Andersson, Lars Åke 3 Bauzet, Caroline 3 Blokhin, Aleksandr Mikhaĭlovich 3 Bouchut, François 3 Chen, Geng 3 Christoforou, Cleopatra C. 3 Dias, João-Paulo 3 Donatelli, Donatella 3 Fang, Yung-Fu 3 Flåtten, Tore 3 Ghoshal, Shyam Sundar 3 Gowda, G. D. Veerappa 3 Ha, Seung-Yeal 3 Holden, Helge 3 Holzegel, Gustav 3 Keyfitz, Barbara Lee 3 Lai, Geng 3 LeFloch, Philippe Gerard 3 Liu, Hailiang 3 Mitrovic, Darko 3 Nishitani, Tatsuo 3 Racke, Reinhard 3 Rendall, Alan D. 3 Rodnianski, Igor 3 Sheng, Wancheng 3 Smoller, Joel Alan 3 Tang, Tao 3 Tkachev, Dmitry L. 3 Towers, John D. 3 Ueda, Yoshihiro 3 Wang, Jinghua 3 Wang, Weike 3 Wei, Changhua 3 Xu, Jiang 3 Young, Robin L. 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 Berthelin, Florent 2 Biswas, Imran H. 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 Coclite, Giuseppe Maria 2 Cohen, Albert 2 Corli, Andrea 2 Coulombel, Jean-François 2 da Luz, Cleverson Roberto 2 Danchin, Raphaël 2 Després, Bruno 2 Desvillettes, Laurent 2 Duan, Renjun 2 Ducomet, Bernard 2 El Hajj, Ahmad 2 Ellis, George Francis Rayner 2 Feireisl, Eduard 2 Figueira, Mário S. R. 2 Foschi, Damiano 2 Franzen, Anne T. 2 Garavello, Mauro 2 Gisclon, Marguerite 2 Godin, Paul 2 Goudiaby, Mouhamadou Samsidy 2 Goudon, Thierry 2 Grillakis, Manoussos G. 2 Grunert, Katrin 2 Hantke, Maren ...and 519 more Authors
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#### Fields

 458 Partial differential equations (35-XX) 125 Fluid mechanics (76-XX) 50 Relativity and gravitational theory (83-XX) 36 Numerical analysis (65-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Mechanics of deformable solids (74-XX) 20 Statistical mechanics, structure of matter (82-XX) 16 Dynamical systems and ergodic theory (37-XX) 12 Optics, electromagnetic theory (78-XX) 10 Quantum theory (81-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Differential geometry (53-XX) 6 Ordinary differential equations (34-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Probability theory and stochastic processes (60-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 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 3 Biology and other natural sciences (92-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)

#### Citations contained in zbMATH Open

368 Publications have been cited 3,172 times in 2,574 Documents Cited by Year
Global well-posedness of the Benjamin-Ono equation in $$H^ 1(R)$$. Zbl 1055.35104
Tao, Terence
2004
Inhomogeneous Strichartz estimates. Zbl 1071.35025
Foschi, Damiano
2005
Optimal entropy solutions for conservation laws with discontinuous flux-functions. Zbl 1093.35045
Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D.
2005
Global smooth flows for the compressible Euler-Maxwell system: the relaxation case. Zbl 1292.76080
Duan, Renjun
2011
A counterexample to well-posedness of entropy solutions to the compressible Euler system. Zbl 1304.35515
Chiodaroli, Elisabetta
2014
Mixed equations and transonic flow. Zbl 1055.35093
Morawetz, Cathleen Synge
2004
Existence of strong traces for quasi-solutions of multidimensional conservation laws. Zbl 1144.35037
Panov, E. Yu.
2007
Existence of strong traces for generalized solutions of multidimensional scalar conservation laws. Zbl 1145.35429
Panov, E. Yu.
2005
Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046
Baranger, Céline; Desvillettes, Laurent
2006
Decay estimates of solutions to a semi-linear dissipative plate equation. Zbl 1207.35229
Sugitani, Yousuke; Kawashima, Shuichi
2010
Occurrence and non-appearence of shocks in fractal Burgers equations. Zbl 1144.35038
Alibaud, Nathaël; Droniou, Jéromé; Vovelle, Julien
2007
The Cauchy problem for conservation laws with a multiplicative stochastic perturbation. Zbl 1263.35222
Bauzet, Caroline; Vallet, Guy; Wittbold, Petra
2012
Delta shock waves as a limit of shock waves. Zbl 1145.35086
Mitrović, Darko; Nedeljkov, Marko
2007
Convergence rate for the compressible Navier–Stokes equations with external force. Zbl 1184.35251
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
2006
The mass-critical fourth-order Schrödinger equation in high dimensions. Zbl 1232.35156
Pausader, Benoit; Shao, Shuanglin
2010
Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076
Bouchut, François; Crippa, Gianluca
2013
Global conservative multipeakon solutions of the Camassa-Holm equation. Zbl 1128.65065
Holden, Helge; Raynaud, Xavier
2007
From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation. Zbl 1089.35070
Masmoudi, Nader; Nakanishi, Kenji
2005
A uniqueness condition for nonlinear convection-diffusion equations with discontinuous coefficients. Zbl 1180.35305
Diehl, Stefan
2009
Global regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data. Zbl 1124.35043
Tao, Terence
2007
Asymptotic properties for a semilinear plate equation in unbounded domains. Zbl 1182.35042
da Luz, Cleverson Roberto; Charão, Ruy Coimbra
2009
Energy critical NLS in two space dimensions. Zbl 1191.35250
Colliander, J.; Ibrahim, S.; Majdoub, M.; Masmoudi, N.
2009
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. Zbl 1207.35020
Andreianov, B.; Bendahmane, M.; Karlsen, K. H.
2010
Blow-up criteria for the Navier-Stokes equations of compressible fluids. Zbl 1142.76049
Fan, Jishan; Jiang, Song
2008
Entropy stable approximations of Navier-Stokes equations with no artificial numerical viscosity. Zbl 1331.76102
Tadmor, Eitan; Zhong, Weigang
2006
$$L^p$$ 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
2004
Decay of the Maxwell field on the Schwarzschild manifold. Zbl 1169.35057
Blue, Pieter
2008
The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074
LeVeque, Randall J.
2004
Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes. Zbl 1250.83025
Holzegel, Gustav
2012
Structured population equations in metric spaces. Zbl 1204.28007
Gwiazda, Piotr; Marciniak-Czochra, Anna
2010
Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior. Zbl 1338.83094
Andersson, Lars; Blue, Pieter
2015
Uniform estimates for transport-diffusion equations. Zbl 1117.35012
Danchin, R.
2007
Conformal scattering and the Goursat problem. Zbl 1074.83019
Mason, Lionel J.; Nicolas, Jean-Philippe
2004
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
2016
An integro-differential conservation law arising in a model of granular flow. Zbl 1248.35118
Amadori, Debora; Shen, Wen
2012
Generalized characteristics and the Hunter-Saxton equation. Zbl 1252.35008
Dafermos, Constantine M.
2011
The ellipticity principle for self-similar potential flows. Zbl 1089.35049
Elling, Volker; Liu, Tai-Ping
2005
Hyperbolic systems of balance laws with weak dissipation. Zbl 1107.35076
Dafermos, C. M.
2006
A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044
Lindblad, Hans; Soffer, Avy
2005
Contractive metrics for scalar conservation laws. Zbl 1071.35081
Bolley, François; Brenier, Yann; Loeper, Grégoire
2005
Stationary wave associated with an inflow problem in the half-line for viscous heat-conductive gas. Zbl 1253.76111
Nakamura, Tohru; Nishibata, Shinya
2011
Stability of rarefaction waves and vacuum states for the multidimensional Euler equations. Zbl 1168.35312
Chen, Gui-Qiang; Chen, Jun
2007
On diffusion phenomena for the linear wave equation with space-dependent damping. Zbl 1312.35026
Wakasugi, Yuta
2014
Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system. Zbl 1102.35005
Kagei, Yoshiyuki; Kawashima, Shuichi
2006
Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion. Zbl 1328.35173
Li, Huapeng; Pan, Ronghua; Zhang, Weizhe
2015
A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127
Bouchut, François
2004
A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032
Ambrosio, Luigi; De Lellis, Camillo
2004
On existence and uniqueness of entropy solutions to the Cauchy problem for a conservation law with discontinuous flux. Zbl 1181.35145
Panov, E. Yu.
2009
A priori estimates for many-body Hamiltonian evolution of interacting Boson system. Zbl 1160.35357
Grillakis, Manoussos G.; Margetis, Dionisios
2008
Uniqueness of rarefaction waves in multidimensional compressible Euler system. Zbl 1327.35230
Feireisl, Eduard; Kreml, Ondřej
2015
Rough solutions of the Einstein constraint equations on compact manifolds. Zbl 1076.58021
Maxwell, David
2005
A priori estimates for the motion of a self-gravitating incompressible liquid with free surface boundary. Zbl 1234.35197
Lindblad, Hans; Nordgren, Karl Håkan
2009
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
2007
Euler system for compressible fluids at a junction. Zbl 1168.35029
Colombo, Rinaldo M.; Mauri, Cristina
2008
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
2014
Global existence of shock front solutions to the axially symmetric piston problem for compressible fluids. Zbl 1047.35092
Chen, Shuxing; Wang, Zejun; Zhang, Yongqian
2004
Quantum electrodynamics of relativistic bound states with cutoffs. Zbl 1081.81115
Barbaroux, Jean-Marie; Dimassi, Mouez; Guillot, Jean-Claude
2004
Global existence and decay of solutions for a quasi-linear dissipative plate equation. Zbl 1232.35023
Liu, Yongqin; Kawashima, Shuichi
2011
Graph solutions of nonlinear hyperbolic systems. Zbl 1071.35078
LeFloch, Philippe G.
2004
Global classical solutions for a compressible fluid-particle interaction model. Zbl 1284.35305
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
2013
Timelike minimal submanifolds of general co-dimension in Minkowski space time. Zbl 1108.35118
Allen, Paul; Andersson, Lars; Isenberg, James
2006
Existence of weak solutions for a quasilinear version of Benney equations. Zbl 1148.35047
Dias, João-Paulo; Figueira, Mário
2007
A degenerate parabolic-hyperbolic Cauchy problem with a stochastic force. Zbl 1327.35209
Bauzet, Caroline; Vallet, Guy; Wittbold, Petra
2015
Decay property for the Timoshenko system with Fourier’s type heat conduction. Zbl 1288.35084
Mori, Naofumi; Kawashima, Shuichi
2014
Global characteristic problem for Einstein vacuum equations with small initial data. I: The initial data constraints. Zbl 1082.35151
Caciotta, Giulio; Nicolò, Francesco
2005
$$L^p$$ asymptotic behavior of perturbed viscous shock profiles. Zbl 1085.35103
2005
Local strong solution to the compressible magnetohydrodynamic flow with large data. Zbl 1229.35211
Li, Xiaoli; Su, Ning; Wang, Dehua
2011
Nonlinear well-posedness and rates of decay in thermoelasticity with second sound. Zbl 1153.35050
Racke, Reinhard; Wang, Ya-Guang
2008
Existence of solutions for the Aw-Rascle traffic flow model with vacuum. Zbl 1185.35144
Godvik, Marte; Hanche-Olsen, Harald
2008
Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section. Zbl 1263.35178
Han, Ee; Hantke, Maren; Warnecke, Gerald
2012
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
2015
On interface transmission conditions for conservation laws with discontinuous flux of general shape. Zbl 1336.35230
Andreianov, Boris; Cancès, Clément
2015
Existence theory for the kinetic-fluid coupling when small droplets are treated as part of the fluid. Zbl 1293.35020
Benjelloun, Saad; Desvillettes, Laurent; Moussa, Ayman
2014
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
2015
Persistence properties for the Degasperis-Procesi equation. Zbl 1185.35228
Henry, David
2008
Two-dimensional vortex sheets for the nonisentropic Euler equations: linear stability. Zbl 1170.35018
Morando, Alessandro; Trebeschi, Paola
2008
On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit. Zbl 1084.35065
Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund
2005
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
2012
A note on the collapse of small data self-gravitating massless collisionless matter. Zbl 1115.35135
Dafermos, Mihalis
2006
Road networks with phase transitions. Zbl 1189.35176
Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto
2010
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
2009
A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042
Klainerman, Sergiu; Rodnianski, Igor
2007
Stability of cylindrical transonic shocks for the two-dimensional steady compressible Euler system. Zbl 1158.35014
Li, Liu; Yuan, Hairong
2008
Short-time existence for scale-invariant Hamiltonian waves. Zbl 1098.35005
Hunter, John K.
2006
Vacuum state for spherically symmetric solutions of the compressible Navier-Stokes equations. Zbl 1106.35054
Xin, Zhouping; Yuan, Hongjun
2006
A dispersive approach to the artificial compressibility approximations of the Navier-Stokes equations in 3D. Zbl 1106.35047
Donatelli, Donatella; Marcati, Pierangelo
2006
Structure of entropy solutions to scalar conservation laws with strictly convex flux. Zbl 1272.35145
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
2012
On a class of hyperbolic balance laws. Zbl 1066.35055
Colombo, Rinaldo M.; Corli, Andrea
2004
New decay rates for a problem of plate dynamics with fractional damping. Zbl 1277.35052
Charão, Ruy Coimbra; Da Luz, Cleverson Roberto; Ikehata, Ryo
2013
Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations. Zbl 1395.76036
Chen, Geng
2011
Mapping properties of heat kernels, maximal regularity, and semi-linear parabolic equations on noncompact manifolds. Zbl 1114.58019
Mazzucato, Anna L.; Nistor, Victor
2006
Local energy decay for solutions of multi-dimensional isotropic symmetric hyperbolic systems. Zbl 1108.35016
Sideris, Thomas C.; Thomases, Becca
2006
Subsonic flows for the full Euler equations in half plane. Zbl 1180.35419
Chen, Jun
2009
Symmetric-hyperbolic equations of motion for a hyperelastic material. Zbl 1180.35345
Wagner, David H.
2009
Regularity of solutions to characteristic initial-boundary value problems for symmetrizable systems. Zbl 1195.35082
Morando, Alessandro; Secchi, Paolo; Trebeschi, Paola
2009
Transonic regular reflection for the nonlinear wave system. Zbl 1100.35068
Jegdić, Katarina; Keyfitz, Barbara Lee; Čanić, Sunčica
2006
Conservation laws driven by Lévy white noise. Zbl 1333.35357
Biswas, Imran H.; Karlsen, Kenneth H.; Majee, Ananta K.
2015
Shock formation in the compressible Euler equations and related systems. Zbl 1452.35137
Chen, Geng; Young, Robin; Zhang, Qingtian
2013
On the compactness of finite energy weak solutions to the quantum Navier-Stokes equations. Zbl 1390.35223
Antonelli, Paolo; Spirito, Stefano
2018
The pointwise estimates of solutions to the isentropic Navier-Stokes equations in even space-dimensions. Zbl 1083.35101
Wang, Weike; Yang, Xiongfeng
2005
Energy scattering for a class of inhomogeneous nonlinear Schrödinger equation in two dimensions. Zbl 07383104
Dinh, Van Duong
2021
The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings. Zbl 07383107
Blanc, Xavier; Danchin, Raphaël; Ducomet, Bernard; Nečasová, Šárka
2021
On Agemi-type structural conditions for a system of semilinear wave equations. Zbl 1455.35150
Nishii, Yoshinori; Sunagawa, Hideaki
2020
The hidden null structure of the compressible Euler equations and a prelude to applications. Zbl 1441.35190
Luk, Jonathan; Speck, Jared
2020
Weakly stable hyperbolic boundary problems with large oscillatory coefficients: simple cascades. Zbl 1446.35070
Williams, Mark
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
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.
2019
On uniqueness of solutions to conservation laws verifying a single entropy condition. Zbl 1453.35122
Krupa, Sam G.; Vasseur, Alexis F.
2019
Conformal scattering of the Maxwell-scalar field system on de Sitter space. Zbl 1445.83004
Taujanskas, Grigalius
2019
A priori estimates in Sobolev spaces for a class of hyperbolic operators in presence of transition. Zbl 1426.35046
Barbagallo, Annamaria; Esposito, Vincenzo
2019
Global large solutions to planar magnetohydrodynamics equations with temperature-dependent coefficients. Zbl 1441.35198
Li, Yachun; Shang, Zhaoyang
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
2019
Classical solutions to a dissipative hyperbolic geometry flow in two space variables. Zbl 1428.53107
Kong, De-Xing; Liu, Qi; Song, Chang-Ming
2019
Diffusion models for mixtures using a stiff dissipative hyperbolic formalism. Zbl 1428.35344
Boudin, Laurent; Grec, Bérénice; Pavan, Vincent
2019
Growth-in-time of higher Sobolev norms of solutions to the 1D Dirac-Klein-Gordon system. Zbl 1428.35435
Tesfahun, Achenef
2019
Well-posedness and blow-up criterion for the Chaplygin gas equations in $$\mathbb{R}^N$$. Zbl 1441.35167
Wang, Zhen; Wu, Xinglong
2019
Strong solutions to the density-dependent incompressible Cahn-Hilliard-Navier-Stokes system. Zbl 1441.35205
Zhao, Xiaopeng
2019
Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid. Zbl 1442.76136
Blokhin, A. M.; Tkachev, D. L.
2019
On the compactness of finite energy weak solutions to the quantum Navier-Stokes equations. Zbl 1390.35223
Antonelli, Paolo; Spirito, Stefano
2018
On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
2018
The weak null condition and Kaluza-Klein spacetimes. Zbl 1394.35500
Wyatt, Zoe
2018
Uniform regularity for free-boundary Navier-Stokes equations with surface tension. Zbl 1383.76039
Elgindi, Tarek; Lee, Donghyun
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
2018
Regularity estimates for scalar conservation laws in one space dimension. Zbl 1437.35492
Marconi, Elio
2018
Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities. Zbl 1406.35190
Towers, John D.
2018
Definitions of solutions to the IBVP for multi-dimensional scalar balance laws. Zbl 1406.35189
Rossi, Elena
2018
The Vlasov-Poisson equation in $$\mathbb{R}^3$$ with infinite charge and velocities. Zbl 1416.82041
Caprino, Silvia; Cavallaro, Guido; Marchioro, Carlo
2018
Non-uniqueness of energy-conservative solutions to the isentropic compressible two-dimensional Euler equations. Zbl 1448.76127
Klingenberg, Christian; Markfelder, Simon
2018
Analysis of a system of nonlocal balance laws with weighted work in progress. Zbl 1437.35488
Keimer, Alexander; Leugering, Günter; Sarkar, Tanmay
2018
The two-dimensional unsteady supersonic flow around a convex corner. Zbl 1418.35253
Sheng, Wancheng; You, Shouke
2018
Low regularity Cauchy problem for the fifth-order modified KdV equations on $$\mathbb{T}$$. Zbl 1417.35172
Kwak, Chulkwang
2018
Existence and Lipschitz stability for $$\alpha$$-dissipative solutions of the two-component Hunter-Saxton system. Zbl 1417.35169
Grunert, Katrin; Nordli, Anders
2018
Singularities of axially symmetric time-like minimal submanifolds in Minkowski space. Zbl 1391.35011
Wong, Willie Wai Yeung
2018
Regularity of weak solutions for the relativistic Vlasov-Maxwell system. Zbl 1428.35596
Besse, Nicolas; Bechouche, Philippe
2018
Junction Riemann problem for one-dimensional shallow water equations with bottom discontinuities and channels width variations. Zbl 1398.35165
Elshobaki, Mohamed; Valiani, Alessandro; Caleffi, Valerio
2018
Large-time behavior of strong solutions to the compressible magnetohydrodynamic system in the critical framework. Zbl 1393.76142
Shi, Weixuan; Xu, Jiang
2018
Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions. Zbl 1393.60069
Lv, Guangying; Wu, Jiang-Lun
2018
Weak vs. $$\mathcal{D}$$-solutions to linear hyperbolic first-order systems with constant coefficients. Zbl 1406.35171
Katzourakis, Nikos
2018
Slow motion for a hyperbolic variation of Allen-Cahn equation in one space dimension. Zbl 1391.35028
Folino, Raffaele
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
2017
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.
2017
Global existence theory for general hyperbolic-parabolic balance laws with application. Zbl 1383.35126
Zeng, Yanni
2017
The Cauchy problem for the Aw-Rascle-Zhang traffic model with locally constrained flow. Zbl 1382.35161
Garavello, Mauro; Villa, Stefano
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
2017
Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state. Zbl 1378.35234
Wei, Changhua
2017
Homogenization of nonlinear hyperbolic stochastic equation via Tartar’s method. Zbl 1391.35039
Mohammed, Mogtaba
2017
Asymptotic stability of $$N$$-solitons in the cubic NLS equation. Zbl 1384.35050
Saalmann, Aaron
2017
Global solutions of quasilinear wave-Klein-Gordon system in two-space dimension: completion of the proof. Zbl 1386.35277
Ma, Yue
2017
On a quasilinear nonlocal Benney system. Zbl 1387.35562
Dias, João-Paulo; Oliveira, Filipe
2017
Data dependence of approximate current-vortex sheets near the onset of instability. Zbl 1382.35235
Morando, Alessandro; Secchi, Paolo; Trebeschi, Paola
2017
Global solutions of quasilinear wave-Klein-Gordon system in two-space dimension: technical tools. Zbl 1386.35276
Ma, Yue
2017
On measures of accretion and dissipation for solutions of the Camassa-Holm equation. Zbl 1386.35271
Jamróz, Grzegorz
2017
Interaction of fan-jump-fan composite waves in a two-dimensional steady jet for van der Waals gases. Zbl 1368.35179
Lai, Geng
2017
Existence of approximate current-vortex sheets near the onset of instability. Zbl 1375.35392
Morando, Alessandro; Secchi, Paolo; Trebeschi, Paola
2017
Well-posedness of a model of nonhomogeneous compressible-incompressible fluids. Zbl 1377.35217
Bianchini, Roberta; Natalini, Roberto
2017
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
2016
Theory of damped wave models with integrable and decaying in time speed of propagation. Zbl 1398.35135
Ebert, Marcelo Rempel; Reissig, Michael
2016
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.
2016
Compressible Navier-Stokes equations with hyperbolic heat conduction. Zbl 1398.35171
Hu, Yuxi; Racke, Reinhard
2016
The general peakon-antipeakon solution for the Camassa-Holm equation. Zbl 1352.35146
Grunert, Katrin; Holden, Helge
2016
On the quasilinear wave equations in time dependent inhomogeneous media. Zbl 1364.35202
Yang, Shiwu
2016
Global well-posedness in energy space for the Chern-Simons-Higgs system in temporal gauge. Zbl 1352.35138
Pecher, Hartmut
2016
A third-order entropy stable scheme for hyperbolic conservation laws. Zbl 1341.65030
Cheng, Xiaohan; Nie, Yufeng
2016
BV solutions to 1D isentropic Euler equations in the zero Mach number limit. Zbl 1359.35139
Colombo, Rinaldo M.; Guerra, Graziano
2016
Two-dimensional centered wave flow patches to the Guderley Mach reflection configurations for steady flows in gas dynamics. Zbl 1339.35225
Lai, Geng; Sheng, Wancheng
2016
Conical shock wave for non-isentropic compressible Euler system of equations. Zbl 1353.35207
Li, Dening; Zhang, Zheng
2016
On some singular limits in damped radiation hydrodynamics. Zbl 1347.35190
Blanc, X.; Ducomet, B.; Nečasová, S.
2016
A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data. Zbl 1362.35173
Jourdain, Benjamin; Reygner, Julien
2016
The global non-blow-up of the Yang-Mills curvature on curved space-times. Zbl 1355.35156
Ghanem, Sari
2016
Global existence and nonlinear diffusion of classical solutions to non-isentropic Euler equations with damping in bounded domain. Zbl 1339.35226
Wu, Fuzhou
2016
Global existence of smooth solutions to relativistic string equations in Schwarzschild space-time for small initial data. Zbl 1334.35344
He, Chun-Lei; Huang, Shou-Jun; Kong, De-Xing
2016
A vector field method for non-trapping, radiating spacetimes. Zbl 1382.35044
Oliver, Jesús
2016
Hadamard well-posedness of the gravity water waves system. Zbl 1358.35127
Nguyen, Quang-Huy
2016
Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior. Zbl 1338.83094
Andersson, Lars; Blue, Pieter
2015
Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion. Zbl 1328.35173
Li, Huapeng; Pan, Ronghua; Zhang, Weizhe
2015
Uniqueness of rarefaction waves in multidimensional compressible Euler system. Zbl 1327.35230
Feireisl, Eduard; Kreml, Ondřej
2015
A degenerate parabolic-hyperbolic Cauchy problem with a stochastic force. Zbl 1327.35209
Bauzet, Caroline; Vallet, Guy; Wittbold, Petra
2015
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
2015
On interface transmission conditions for conservation laws with discontinuous flux of general shape. Zbl 1336.35230
Andreianov, Boris; Cancès, Clément
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
2015
Conservation laws driven by Lévy white noise. Zbl 1333.35357
Biswas, Imran H.; Karlsen, Kenneth H.; Majee, Ananta K.
2015
Coupling constants and the generalized Riemann problem for isothermal junction flow. Zbl 1321.35148
Reigstad, Gunhild A.; Flåtten, Tore; Haugen, Nils Erland; Ytrehus, Tor
2015
Wave propagation for the compressible Navier-Stokes equations. Zbl 1327.76112
Liu, Tai-Ping; Noh, Se Eun
2015
Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation. Zbl 1339.35039
Dafermos, Constantine M.
2015
A remark on the Glimm scheme for inhomogeneous hyperbolic systems of balance laws. Zbl 1347.35161
Christoforou, Cleopatra
2015
Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity. Zbl 1331.35210
Bernardi, Enrico; Bove, Antonio; Petkov, Vesselin
2015
A new proof of Bronshtein’s theorem. Zbl 1339.26032
Parusiński, Adam; Rainer, Armin
2015
Wave dynamics of linear hyperbolic relaxation systems. Zbl 1347.35149
Solem, Susanne; Aursand, Peder; Flåtten, Tore
2015
Global existence of small amplitude solutions to one-dimensional nonlinear Klein-Gordon systems with different masses. Zbl 1338.35297
Kim, Donghyun
2015
No BV bounds for approximate solutions to $$p$$-system with general pressure law. Zbl 1347.35159
Bressan, Alberto; Chen, Geng; Zhang, Qingtian; Zhu, Shengguo
2015
Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws. Zbl 1316.65078
Mishra, Siddhartha; Spinolo, Laura V.
2015
The Einstein-Klein-Gordon-AdS system for general boundary conditions. Zbl 1326.35381
Holzegel, Gustav; Warnick, Claude M.
2015
Stability condition for strong shocks in flows over an infinite planar wedge satisfying the Lopatinski condition. Zbl 1338.76045
Blokhin, A. M.; Tkachev, D. L.
2015
A counterexample to well-posedness of entropy solutions to the compressible Euler system. Zbl 1304.35515
Chiodaroli, Elisabetta
2014
On diffusion phenomena for the linear wave equation with space-dependent damping. Zbl 1312.35026
Wakasugi, Yuta
2014
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
2014
Decay property for the Timoshenko system with Fourier’s type heat conduction. Zbl 1288.35084
Mori, Naofumi; Kawashima, Shuichi
2014
Existence theory for the kinetic-fluid coupling when small droplets are treated as part of the fluid. Zbl 1293.35020
Benjelloun, Saad; Desvillettes, Laurent; Moussa, Ayman
2014
A center-stable manifold for the energy-critical wave equation in $$\mathbb{R}^{3}$$ in the symmetric setting. Zbl 1315.35129
Beceanu, Marius
2014
Optimal controllability for scalar conservation laws with convex flux. Zbl 1311.35151
Adimurthi; Sundar Ghoshal, Shyam; Veerappa Gowda, G. D.
2014
...and 268 more Documents
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#### Cited by 2,358 Authors

 30 Andreianov, Boris 27 Kawashima, Shuichi 25 Feireisl, Eduard 23 Coclite, Giuseppe Maria 23 LeFloch, Philippe Gerard 21 Colombo, Rinaldo M. 21 Rosini, Massimiliano Daniele 21 Wang, Weike 20 Goatin, Paola 20 Karlsen, Kenneth Hvistendahl 20 Panov, Evgeniy Yu. 20 Risebro, Nils Henrik 18 Gwiazda, Piotr 17 Speck, Jared 17 Zumbrun, Kevin R. 16 Mishra, Siddhartha 15 Ghoshal, Shyam Sundar 15 Gowda, G. D. Veerappa 15 Guo, Boling 15 Secchi, Paolo 15 Spirito, Stefano 15 Xin, Zhouping 14 Adimurthi, A. 14 Carrillo de la Plata, José Antonio 14 Chen, Gui-Qiang G. 14 Crippa, Gianluca 14 Duan, Renjun 14 Holden, Helge 14 Wang, Dehua 13 Dias, João-Paulo 13 Kreml, Ondřej 13 Naumkin, Pavel Ivanovich 13 Ueda, Yoshihiro 13 Vasseur, Alexis F. 13 Yuan, Hairong 12 Chen, Geng 12 Dafermos, Constantine M. 12 Ding, Min 12 Garavello, Mauro 12 Morando, Alessandro 12 Tan, Zhong 12 Wang, Yuzhu 12 Wei, Changhua 12 Xu, Jiang 12 Zhu, Changjiang 11 Bianchini, Stefano 11 Di Ruvo, Lorenzo 11 Donadello, Carlotta 11 Hayashi, Nakao 11 Rodnianski, Igor 11 Wang, Shu 11 Yin, Haiyan 11 Yin, Huicheng 10 Bachelot, Alain 10 Cancès, Clément 10 Chiodaroli, Elisabetta 10 Christoforou, Cleopatra C. 10 D’Abbicco, Marcello 10 Feng, Yuehong 10 Folino, Raffaele 10 Ikehata, Ryo 10 Kagei, Yoshiyuki 10 Li, Hailiang 10 Popivanov, Nedyu Iv. 10 Rossi, Elena 10 Saanouni, Tarek 10 Shen, Chun 10 Trebeschi, Paola 9 Chalons, Christophe 9 Di Francesco, Marco 9 Disconzi, Marcelo Mendes 9 Figueira, Mário S. R. 9 Ha, Seung-Yeal 9 Kim, Eun Heui 9 Li, Yachun 9 Oliynyk, Todd Andrew 9 Peng, Yuejun 9 Seo, Ihyeok 9 Sun, Meina 9 Wu, Zhigang 9 Zhao, Huijiang 8 Bürger, Raimund 8 Choi, Young-Pil 8 Corli, Andrea 8 Coulombel, Jean-François 8 Cui, Haibo 8 El Hajj, Ahmad 8 Fajman, David 8 Gess, Benjamin 8 Grunert, Katrin 8 Guerra, Graziano 8 Herty, Michael Matthias 8 Hofmanová, Martina 8 Holzegel, Gustav 8 Ikeda, Masahiro 8 Liu, Yongqin 8 Masmoudi, Nader 8 Nicolas, Jean-Philippe 8 Pavlović, Nataša 8 Pelinovsky, Dmitry Efimovich ...and 2,258 more Authors
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#### Cited in 299 Journals

 214 Journal of Differential Equations 139 Journal of Hyperbolic Differential Equations 105 Journal of Mathematical Analysis and Applications 101 Archive for Rational Mechanics and Analysis 83 Communications in Mathematical Physics 76 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 68 Discrete and Continuous Dynamical Systems 66 SIAM Journal on Mathematical Analysis 64 Journal of Mathematical Physics 53 ZAMP. Zeitschrift für angewandte Mathematik und Physik 50 Communications in Partial Differential Equations 41 Communications on Pure and Applied Analysis 39 Journal of Computational Physics 37 Nonlinear Analysis. Real World Applications 35 Journal of Functional Analysis 33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 33 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 32 Networks and Heterogeneous Media 31 Annales Henri Poincaré 30 Mathematical Methods in the Applied Sciences 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 NoDEA. Nonlinear Differential Equations and Applications 25 Quarterly of Applied Mathematics 25 Transactions of the American Mathematical Society 25 Journal of Mathematical Fluid Mechanics 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 22 Applicable Analysis 22 Nonlinearity 22 Journal of Evolution Equations 21 Journal of Scientific Computing 18 Annals of PDE 17 Mathematics of Computation 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Kinetic and Related Models 16 Communications on Pure and Applied Mathematics 16 Advances in Mathematics 15 Applied Mathematics Letters 15 Calculus of Variations and Partial Differential Equations 15 Bulletin of the Brazilian Mathematical Society. New Series 14 Mathematische Annalen 14 Proceedings of the American Mathematical Society 13 Inventiones Mathematicae 13 Applied Numerical Mathematics 13 Discrete and Continuous Dynamical Systems. Series B 13 Boundary Value Problems 12 Numerische Mathematik 12 Abstract and Applied Analysis 12 Acta Mathematica Sinica. English Series 12 Communications in Contemporary Mathematics 11 Chinese Annals of Mathematics. Series B 11 Journal of Nonlinear Science 11 Science China. Mathematics 10 Computers & Mathematics with Applications 10 Computer Methods in Applied Mechanics and Engineering 10 Letters in Mathematical Physics 10 Discrete and Continuous Dynamical Systems. Series S 9 Classical and Quantum Gravity 9 Journal of Computational and Applied Mathematics 9 Asymptotic Analysis 9 Journal of Dynamics and Differential Equations 9 Computational Geosciences 8 Computers and Fluids 8 Applied Mathematics and Computation 8 Duke Mathematical Journal 8 Osaka Journal of Mathematics 8 SIAM Journal on Numerical Analysis 8 Physica D 8 Journal of the American Mathematical Society 8 Analysis and Applications (Singapore) 7 Journal of Geometry and Physics 7 Numerical Methods for Partial Differential Equations 7 SIAM Journal on Applied Mathematics 7 SIAM Journal on Scientific Computing 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Annals of Mathematics. Second Series 7 Journal of the European Mathematical Society (JEMS) 7 Advances in Mathematical Physics 7 International Journal of Differential Equations 6 General Relativity and Gravitation 6 Annales de l’Institut Fourier 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 BIT 6 Acta Applicandae Mathematicae 6 Bulletin of the American Mathematical Society. New Series 6 Bulletin des Sciences Mathématiques 6 Analysis & PDE 6 Stochastic and Partial Differential Equations. Analysis and Computations 6 Séminaire Laurent Schwartz. EDP et Applications 5 Journal of Engineering Mathematics 5 Applied Mathematics and Optimization 5 Journal of Mathematical Sciences (New York) 5 Selecta Mathematica. New Series 5 Journal of Nonlinear Mathematical Physics 5 Mathematical Biosciences and Engineering 5 Evolution Equations and Control Theory 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 4 Journal of Fluid Mechanics 4 Journal of Mathematical Biology 4 Journal of Statistical Physics 4 Reports on Mathematical Physics ...and 199 more Journals
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#### Cited in 45 Fields

 2,294 Partial differential equations (35-XX) 865 Fluid mechanics (76-XX) 275 Numerical analysis (65-XX) 225 Relativity and gravitational theory (83-XX) 110 Statistical mechanics, structure of matter (82-XX) 109 Mechanics of deformable solids (74-XX) 105 Quantum theory (81-XX) 101 Differential geometry (53-XX) 84 Dynamical systems and ergodic theory (37-XX) 64 Operations research, mathematical programming (90-XX) 63 Probability theory and stochastic processes (60-XX) 60 Global analysis, analysis on manifolds (58-XX) 58 Biology and other natural sciences (92-XX) 47 Optics, electromagnetic theory (78-XX) 41 Operator theory (47-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 36 Functional analysis (46-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 30 Classical thermodynamics, heat transfer (80-XX) 30 Systems theory; control (93-XX) 25 Ordinary differential equations (34-XX) 24 Integral equations (45-XX) 24 Mechanics of particles and systems (70-XX) 23 Real functions (26-XX) 19 Astronomy and astrophysics (85-XX) 18 Geophysics (86-XX) 8 Approximations and expansions (41-XX) 8 Integral transforms, operational calculus (44-XX) 7 Measure and integration (28-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 4 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 4 General topology (54-XX) 3 Algebraic geometry (14-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX)