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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

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

Publications by Year

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. Zbl 1448.76127
Klingenberg, Christian; Markfelder, Simon
4
2018
Singularities of axially symmetric time-like minimal submanifolds in Minkowski space. Zbl 1391.35011
Wong, Willie Wai Yeung
3
2018
Regularity of weak solutions for the relativistic Vlasov-Maxwell system. Zbl 1428.35596
Besse, Nicolas; Bechouche, Philippe
3
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
3
2018
Energy critical Schrödinger equation with weighted exponential nonlinearity: local and global well-posedness. Zbl 1428.35482
Bensouilah, Abdelwahab; Draouil, Dhouha; Majdoub, Mohamed
2
2018
Breaking symmetry in focusing nonlinear Klein-Gordon equations with potential. Zbl 1429.35007
Georgiev, Vladimir; Lucente, Sandra
1
2018
Large-time behavior of strong solutions to the compressible magnetohydrodynamic system in the critical framework. 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
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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
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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. Nonlinear Differential Equations and Applications
33 Quarterly of Applied Mathematics
32 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
31 Applicable Analysis
29 Journal of Scientific Computing
28 Transactions of the American Mathematical Society
28 Annals of PDE
26 Advances in Mathematics
24 Boundary Value Problems
23 Applied Mathematics Letters
23 Calculus of Variations and Partial Differential Equations
23 Acta Mathematica Scientia. Series B. (English Edition)
21 Discrete and Continuous Dynamical Systems. Series B
19 Communications on Pure and Applied Mathematics
19 Proceedings of the American Mathematical Society
19 Applied Numerical Mathematics
19 Journal of Nonlinear Science
19 Kinetic and Related Models
18 Mathematics of Computation
18 Inventiones Mathematicae
18 Physica D
18 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Asymptotic Analysis
16 Communications in Contemporary Mathematics
16 Bulletin of the Brazilian Mathematical Society. New Series
16 Discrete and Continuous Dynamical Systems. Series S
16 Séminaire Laurent Schwartz. EDP et Applications
15 Letters in Mathematical Physics
15 Mathematische Annalen
15 Numerische Mathematik
15 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
15 Science China. Mathematics
14 Computers & Mathematics with Applications
13 Applied Mathematics and Computation
13 Abstract and Applied Analysis
13 Analysis & PDE
12 Chinese Annals of Mathematics. Series B
12 Journal of Dynamics and Differential Equations
12 Acta Mathematica Sinica. English Series
11 Computer Methods in Applied Mechanics and Engineering
10 General Relativity and Gravitation
10 Applied Mathematics and Optimization
10 Journal of Computational and Applied Mathematics
10 Acta Applicandae Mathematicae
10 Numerical Methods for Partial Differential Equations
10 SIAM Journal on Scientific Computing
10 SN Partial Differential Equations and Applications
9 Computers and Fluids
9 Duke Mathematical Journal
9 Journal of the American Mathematical Society
9 Computational Geosciences
9 Analysis and Applications (Singapore)
8 Journal of Geometry and Physics
8 Annales de l’Institut Fourier
8 BIT
8 Osaka Journal of Mathematics
8 SIAM Journal on Numerical Analysis
8 Annals of Mathematics. Second Series
8 Journal of the European Mathematical Society (JEMS)
8 Journal of High Energy Physics
8 Advances in Mathematical Physics
8 Advances in Nonlinear Analysis
7 Journal of Engineering Mathematics
7 Journal of Statistical Physics
7 Annali di Matematica Pura ed Applicata. 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
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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)
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5 Functions of a complex variable (30-XX)
4 History and biography (01-XX)
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4 Geometry (51-XX)
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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)

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