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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: 553 Publications (since 2004)
References Indexed: 551 Publications with 12,836 References.
all top 5

Authors

10 Kawashima, Shuichi
8 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 Holzegel, Gustav
4 Ikehata, Ryo
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 Costa, João Lopes
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 Keyfitz, Barbara Lee
3 Lai, Geng
3 LeFloch, Philippe Gerard
3 Li, Dening
3 Lindblad, Hans
3 Liu, Hailiang
3 Mitrovic, Darko
3 Monneau, Régis
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 Zhang, Qingtian
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, Jun
2 Chen, Shuxing
2 Chruściel, Piotr Tadeusz
2 Cohen, Albert
2 Corli, Andrea
2 Coulombel, Jean-François
2 da Luz, Cleverson Roberto
2 Danchin, Raphaël
2 Desvillettes, Laurent
2 Dharmawardane, Priyanjana M. N.
2 Di Francesco, Marco
...and 623 more Authors

Publications by Year

Citations contained in zbMATH Open

452 Publications have been cited 5,043 times in 3,974 Documents Cited by Year
Global well-posedness of the Benjamin-Ono equation in \(H^ 1(R)\). Zbl 1055.35104
Tao, Terence
122
2004
Inhomogeneous Strichartz estimates. Zbl 1071.35025
Foschi, Damiano
120
2005
Optimal entropy solutions for conservation laws with discontinuous flux-functions. Zbl 1093.35045
Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D.
96
2005
Global smooth flows for the compressible Euler-Maxwell system: the relaxation case. Zbl 1292.76080
Duan, Renjun
84
2011
A counterexample to well-posedness of entropy solutions to the compressible Euler system. Zbl 1304.35515
Chiodaroli, Elisabetta
79
2014
Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. Zbl 1093.35046
Baranger, Céline; Desvillettes, Laurent
75
2006
Existence of strong traces for quasi-solutions of multidimensional conservation laws. Zbl 1144.35037
Panov, E. Yu.
69
2007
Mixed equations and transonic flow. Zbl 1055.35093
Morawetz, Cathleen Synge
62
2004
Delta shock waves as a limit of shock waves. Zbl 1145.35086
Mitrović, Darko; Nedeljkov, Marko
59
2007
Existence of strong traces for generalized solutions of multidimensional scalar conservation laws. Zbl 1145.35429
Panov, E. Yu.
57
2005
The Cauchy problem for conservation laws with a multiplicative stochastic perturbation. Zbl 1263.35222
Bauzet, Caroline; Vallet, Guy; Wittbold, Petra
54
2012
Decay estimates of solutions to a semi-linear dissipative plate equation. Zbl 1207.35229
Sugitani, Yousuke; Kawashima, Shuichi
53
2010
Occurrence and non-appearence of shocks in fractal Burgers equations. Zbl 1144.35038
Alibaud, Nathaël; Droniou, Jéromé; Vovelle, Julien
53
2007
The mass-critical fourth-order Schrödinger equation in high dimensions. Zbl 1232.35156
Pausader, Benoit; Shao, Shuanglin
50
2010
From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation. Zbl 1089.35070
Masmoudi, Nader; Nakanishi, Kenji
48
2005
Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076
Bouchut, François; Crippa, Gianluca
46
2013
Convergence rate for the compressible Navier–Stokes equations with external force. Zbl 1184.35251
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
45
2006
Global conservative multipeakon solutions of the Camassa-Holm equation. Zbl 1128.65065
Holden, Helge; Raynaud, Xavier
43
2007
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
38
2016
Decay of the Maxwell field on the Schwarzschild manifold. Zbl 1169.35057
Blue, Pieter
38
2008
Asymptotic properties for a semilinear plate equation in unbounded domains. Zbl 1182.35042
da Luz, Cleverson Roberto; Charão, Ruy Coimbra
36
2009
Energy critical NLS in two space dimensions. Zbl 1191.35250
Colliander, J.; Ibrahim, S.; Majdoub, M.; Masmoudi, N.
35
2009
Stationary wave associated with an inflow problem in the half-line for viscous heat-conductive gas. Zbl 1253.76111
Nakamura, Tohru; Nishibata, Shinya
35
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
35
2015
Global regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data. Zbl 1124.35043
Tao, Terence
35
2007
Entropy stable approximations of Navier-Stokes equations with no artificial numerical viscosity. Zbl 1331.76102
Tadmor, Eitan; Zhong, Weigang
35
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
34
2004
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
34
2015
An integro-differential conservation law arising in a model of granular flow. Zbl 1248.35118
Amadori, Debora; Shen, Wen
33
2012
Stability of rarefaction waves and vacuum states for the multidimensional Euler equations. Zbl 1168.35312
Chen, Gui-Qiang; Chen, Jun
33
2007
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. Zbl 1207.35020
Andreianov, B.; Bendahmane, M.; Karlsen, K. H.
33
2010
Generalized characteristics and the Hunter-Saxton equation. Zbl 1252.35008
Dafermos, Constantine M.
33
2011
On diffusion phenomena for the linear wave equation with space-dependent damping. Zbl 1312.35026
Wakasugi, Yuta
33
2014
Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes. Zbl 1250.83025
Holzegel, Gustav
32
2012
A uniqueness condition for nonlinear convection-diffusion equations with discontinuous coefficients. Zbl 1180.35305
Diehl, Stefan
32
2009
Blow-up criteria for the Navier-Stokes equations of compressible fluids. Zbl 1142.76049
Fan, Jishan; Jiang, Song
32
2008
Uniqueness of rarefaction waves in multidimensional compressible Euler system. Zbl 1327.35230
Feireisl, Eduard; Kreml, Ondřej
31
2015
The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074
LeVeque, Randall J.
30
2004
A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044
Lindblad, Hans; Soffer, Avy
30
2005
Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system. Zbl 1102.35005
Kagei, Yoshiyuki; Kawashima, Shuichi
30
2006
Global classical solutions for a compressible fluid-particle interaction model. Zbl 1284.35305
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
30
2013
Graph solutions of nonlinear hyperbolic systems. Zbl 1071.35078
LeFloch, Philippe G.
29
2004
Conformal scattering and the Goursat problem. Zbl 1074.83019
Mason, Lionel J.; Nicolas, Jean-Philippe
27
2004
A degenerate parabolic-hyperbolic Cauchy problem with a stochastic force. Zbl 1327.35209
Bauzet, Caroline; Vallet, Guy; Wittbold, Petra
26
2015
Decay property for the Timoshenko system with Fourier’s type heat conduction. Zbl 1288.35084
Mori, Naofumi; Kawashima, Shuichi
26
2014
On existence and uniqueness of entropy solutions to the Cauchy problem for a conservation law with discontinuous flux. Zbl 1181.35145
Panov, E. Yu.
25
2009
Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion. Zbl 1328.35173
Li, Huapeng; Pan, Ronghua; Zhang, Weizhe
25
2015
Structured population equations in metric spaces. Zbl 1204.28007
Gwiazda, Piotr; Marciniak-Czochra, Anna
25
2010
On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
25
2018
Hyperbolic systems of balance laws with weak dissipation. Zbl 1107.35076
Dafermos, C. M.
25
2006
Rough solutions of the Einstein constraint equations on compact manifolds. Zbl 1076.58021
Maxwell, David
24
2005
Uniform estimates for transport-diffusion equations. Zbl 1117.35012
Danchin, R.
24
2007
The ellipticity principle for self-similar potential flows. Zbl 1089.35049
Elling, Volker; Liu, Tai-Ping
24
2005
Existence of solutions for the Aw-Rascle traffic flow model with vacuum. Zbl 1185.35144
Godvik, Marte; Hanche-Olsen, Harald
24
2008
Wave propagation for the compressible Navier-Stokes equations. Zbl 1327.76112
Liu, Tai-Ping; Noh, Se Eun
23
2015
Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section. Zbl 1263.35178
Han, Ee; Hantke, Maren; Warnecke, Gerald
23
2012
Global characteristic problem for Einstein vacuum equations with small initial data. I: The initial data constraints. Zbl 1082.35151
Caciotta, Giulio; Nicolò, Francesco
22
2005
Local strong solution to the compressible magnetohydrodynamic flow with large data. Zbl 1229.35211
Li, Xiaoli; Su, Ning; Wang, Dehua
22
2011
Regularity of solutions to characteristic initial-boundary value problems for symmetrizable systems. Zbl 1195.35082
Morando, Alessandro; Secchi, Paolo; Trebeschi, Paola
22
2009
Stability of cylindrical transonic shocks for the two-dimensional steady compressible Euler system. Zbl 1158.35014
Li, Liu; Yuan, Hairong
22
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
22
2014
Global existence and decay of solutions for a quasi-linear dissipative plate equation. Zbl 1232.35023
Liu, Yongqin; Kawashima, Shuichi
21
2011
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
21
2007
On the compactness of finite energy weak solutions to the quantum Navier-Stokes equations. Zbl 1390.35223
Antonelli, Paolo; Spirito, Stefano
21
2018
Two-dimensional vortex sheets for the nonisentropic Euler equations: linear stability. Zbl 1170.35018
Morando, Alessandro; Trebeschi, Paola
21
2008
A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032
Ambrosio, Luigi; De Lellis, Camillo
20
2004
Contractive metrics for scalar conservation laws. Zbl 1071.35081
Bolley, François; Brenier, Yann; Loeper, Grégoire
20
2005
Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations. Zbl 1395.76036
Chen, Geng
20
2011
A note on the collapse of small data self-gravitating massless collisionless matter. Zbl 1115.35135
Dafermos, Mihalis
20
2006
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
Euler system for compressible fluids at a junction. Zbl 1168.35029
Colombo, Rinaldo M.; Mauri, Cristina
20
2008
On interface transmission conditions for conservation laws with discontinuous flux of general shape. Zbl 1336.35230
Andreianov, Boris; Cancès, Clément
19
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
19
2015
Timelike minimal submanifolds of general co-dimension in Minkowski space time. Zbl 1108.35118
Allen, Paul; Andersson, Lars; Isenberg, James
19
2006
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
Compressible Navier-Stokes equations with hyperbolic heat conduction. Zbl 1398.35171
Hu, Yuxi; Racke, Reinhard
18
2016
Local energy decay for solutions of multi-dimensional isotropic symmetric hyperbolic systems. Zbl 1108.35016
Sideris, Thomas C.; Thomases, Becca
18
2006
Existence of weak solutions for a quasilinear version of Benney equations. Zbl 1148.35047
Dias, João-Paulo; Figueira, Mário
18
2007
A priori estimates for many-body Hamiltonian evolution of interacting Boson system. Zbl 1160.35357
Grillakis, Manoussos G.; Margetis, Dionisios
18
2008
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
18
2019
New decay rates for a problem of plate dynamics with fractional damping. Zbl 1277.35052
Charão, Ruy Coimbra; Da Luz, Cleverson Roberto; Ikehata, Ryo
18
2013
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.
18
2017
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.
17
2016
Road networks with phase transitions. Zbl 1189.35176
Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto
17
2010
A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127
Bouchut, François
17
2004
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
17
2017
Short-time existence for scale-invariant Hamiltonian waves. Zbl 1098.35005
Hunter, John K.
17
2006
Nonlinear well-posedness and rates of decay in thermoelasticity with second sound. Zbl 1153.35050
Racke, Reinhard; Wang, Ya-Guang
17
2008
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
17
2014
On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit. Zbl 1084.35065
Bechouche, Philippe; Mauser, Norbert J.; Selberg, Sigmund
16
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
16
2012
Stability of relativistic plasma-vacuum interfaces. Zbl 1277.35047
Trakhinin, Yuri
16
2012
A Kirchhoff-Sobolev parametrix for the wave equation and applications. Zbl 1148.35042
Klainerman, Sergiu; Rodnianski, Igor
16
2007
Persistence properties for the Degasperis-Procesi equation. Zbl 1185.35228
Henry, David
16
2008
Structure of entropy solutions to scalar conservation laws with strictly convex flux. Zbl 1272.35145
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
16
2012
Shock formation in the compressible Euler equations and related systems. Zbl 1452.35137
Chen, Geng; Young, Robin; Zhang, Qingtian
16
2013
Fractional \(BV\) spaces and applications to scalar conservation laws. Zbl 1320.35206
Bourdarias, C.; Gisclon, M.; Junca, S.
16
2014
Strongly hyperbolic systems in general relativity. Zbl 1074.58014
Reula, Oscar A.
15
2004
Subsonic flows for the full Euler equations in half plane. Zbl 1180.35419
Chen, Jun
15
2009
Symmetric-hyperbolic equations of motion for a hyperelastic material. Zbl 1180.35345
Wagner, David H.
15
2009
A class of germs arising from homogenization in traffic flow on junctions. Zbl 07938511
Cardaliaguet, Pierre; Forcadel, Nicolas; Monneau, Régis
1
2024
Fast energy decay for wave equation with a monotone potential and an effective damping. Zbl 07938512
Li, Xiaoyan; Ikehata, Ryo
1
2024
Scattering from infinity for semilinear wave equations satisfying the null condition or the weak null condition. Zbl 1518.35499
Lindblad, Hans; Schlue, Volker
12
2023
\(L^2\)-blowup estimates of the wave equation and its application to local energy decay. Zbl 1518.35101
Ikehata, Ryo
9
2023
On the failure of the chain rule for the divergence of Sobolev vector fields. Zbl 1529.35146
Buck, Miriam; Modena, Stefano
3
2023
Strichartz estimates for Maxwell equations in media: the fully anisotropic case. Zbl 1547.35655
Schippa, Robert; Schnaubelt, Roland
2
2023
A general convex integration scheme for the isentropic compressible Euler equations. Zbl 1524.35445
Dębiec, Tomasz; Skipper, Jack; Wiedemann, Emil
2
2023
Impact of dissipation ratio on vanishing viscosity solutions of the Riemann problem for chemical flooding model. Zbl 1526.76062
Bakharev, Fedor; Enin, Aleksandr; Petrova, Yulia; Rastegaev, Nikita
2
2023
Existence and uniqueness for a viscoelastic Kelvin-Voigt model with nonconvex stored energy. Zbl 1523.35225
Koumatos, Konstantinos; Lattanzio, Corrado; Spirito, Stefano; Tzavaras, Athanasios E.
2
2023
Solutions of kinetic equations related to non-local conservation laws. Zbl 1518.35484
Berthelin, Florent
1
2023
Convergence to a diffusive contact wave for solutions to a system of hyperbolic balance laws. Zbl 1518.35489
Zeng, Yanni
1
2023
Solutions with exponential singularity for \((3+1)\)-D Protter problems. Zbl 1523.35014
Popivanov, Nedyu; Popov, Todor; Witt, Ingo
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
5
2022
Einstein vacuum equations with \(\mathbb{U}(1)\) symmetry in an elliptic gauge: local well-posedness and blow-up criterium. Zbl 1512.83008
Touati, Arthur
3
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
3
2022
The one-sided Lipschitz condition in the follow-the-leader approximation of scalar conservation laws. Zbl 1517.35130
Francesco, Marco Di; Stivaletta, Graziano
3
2022
Lipschitz stability for the Hunter-Saxton equation. Zbl 1498.35045
Grunert, Katrin; Tandy, Matthew
3
2022
Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov-type fluxes. Zbl 1505.35268
Ghoshal, Shyam Sundar; Towers, John D.; Vaidya, Ganesh
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
Stable cosmologies with collisionless charged matter. Zbl 1512.83004
Barzegar, Hamed; Fajman, David
2
2022
\(L^p\) contractive solutions for scalar conservation laws. Zbl 1498.35120
Hinohara, Kihito; Minagawa, Natsuki; Ohwa, Hiroki; Suzuki, Hiroya; Ukita, Shou
2
2022
Global stability of traveling waves for \((1+1)\)-dimensional systems of quasilinear wave equations. Zbl 1517.35037
Cha, Louis Dongbing; Shao, Arick
1
2022
The Cauchy problem for properly hyperbolic equations in one space variable. Zbl 1502.35065
Spagnolo, Sergio; Taglialatela, Giovanni
1
2022
Non-isothermal viscoelastic flows with conservation laws and relaxation. Zbl 1504.35294
Boyaval, Sébastien; Dostalík, Mark
1
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
Energy scattering for a class of inhomogeneous nonlinear Schrödinger equation in two dimensions. Zbl 1473.35501
Dinh, Van Duong
9
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.
5
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
4
2021
Smoothing and growth bound of periodic generalized Korteweg-de Vries equation. Zbl 1492.35279
Oh, Seungly; Stefanov, Atanas G.
4
2021
Low regularity well-posedness for generalized Benjamin-Ono equations on the circle. Zbl 1490.35071
Kim, Kihyun; Schippa, Robert
4
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
4
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
4
2021
Shock waves in Euler equations for compressible medium. Zbl 1481.35277
Liu, Tai-Ping
3
2021
An inverse scattering theorem for \((1+1)\)-dimensional semi-linear wave equations with null conditions. Zbl 1471.35336
Li, Mengni
3
2021
Local well-posedness for the quantum Zakharov system in three and higher dimensions. Zbl 1480.35103
Kato, Isao
2
2021
Construction of excited multi-solitons for the 5D energy-critical wave equation. Zbl 1480.35093
Yuan, Xu
2
2021
Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory. Zbl 1480.35047
Taniue, Shogo; Kawashima, Shuichi
2
2021
Shadow wave solutions for a scalar two-flux conservation law with Rankine-Hugoniot deficit. Zbl 1481.35273
Krunić, Tanja; Nedeljkov, Marko
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
Existence of viscosity solutions with the optimal regularity of a two-peakon Hamilton-Jacobi equation. Zbl 1480.35099
Cieślak, Tomasz; Siemianowski, Jakub
1
2021
Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations. Zbl 1490.35104
Bertsch, Michiel; Smarrazzo, Flavia; Terracina, Andrea; Tesei, Alberto
1
2021
The hidden null structure of the compressible Euler equations and a prelude to applications. Zbl 1441.35190
Luk, Jonathan; Speck, Jared
15
2020
Well-posedness and blow-up properties for the generalized Hartree equation. Zbl 1473.35496
Arora, Anudeep Kumar; Roudenko, Svetlana
9
2020
On Agemi-type structural conditions for a system of semilinear wave equations. Zbl 1455.35150
Nishii, Yoshinori; Sunagawa, Hideaki
8
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
6
2020
Asymptotic profiles for damped plate equations with rotational inertia terms. Zbl 1455.35017
Fukushima, Tomonori; Ikehata, Ryo; Michihisa, Hironori
5
2020
Large data scattering for NLKG on waveguide \(\mathbb{R}^d\times\mathbb{T}\). Zbl 1455.35162
Forcella, Luigi; Hari, Lysianne
5
2020
On the rarefaction waves of the two-dimensional compressible Euler equations for magnetohydrodynamics. Zbl 1455.35182
Chen, Jianjun; Lai, Geng; Sheng, Wancheng
4
2020
Global smooth solutions to 3D irrotational Euler equations for Chaplygin gases. Zbl 1456.35128
Wei, Changhua; Wang, Yu-Zhu
3
2020
Scattering for the one-dimensional Klein-Gordon equation with exponential nonlinearity. Zbl 1455.35164
Ikeda, Masahiro; Inui, Takahisa; Okamoto, Mamoru
3
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.
3
2020
Time-periodic solutions of symmetric hyperbolic systems. Zbl 1471.35017
Ohnawa, Masashi; Suzuki, Masahiro
3
2020
On \(\Phi \)-variation for 1-d scalar conservation laws. Zbl 1471.35199
Jenssen, Helge Kristian; Ridder, Johanna
3
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
2
2020
A non-local scalar conservation law describing navigation processes. Zbl 1479.76126
Amorim, Paulo; Berthelin, Florent; Goudon, Thierry
2
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
Large time behavior of solutions to space-time monopole equations in \(1+1\) dimensions. Zbl 1455.35023
Moon, Bora; Yim, Jihyun
1
2020
Influence of strong time-dependent oscillations in semilinear damped wave models. Zbl 1455.35014
Aslan, Halit Sevki; Reissig, Michael
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
18
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
15
2019
On uniqueness of solutions to conservation laws verifying a single entropy condition. Zbl 1453.35122
Krupa, Sam G.; Vasseur, Alexis F.
15
2019
Decay of solutions of the wave equation in expanding cosmological spacetimes. Zbl 1437.35066
Costa, João L.; Natário, José; Oliveira, Pedro F. C.
10
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.
10
2019
Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity. Zbl 1426.35028
Angelopoulos, Yannis; Aretakis, Stefanos; Gajic, Dejan
9
2019
A priori estimates for a relativistic liquid with free surface boundary. Zbl 1441.35194
Ginsberg, Daniel
9
2019
Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid. Zbl 1442.76136
Blokhin, A. M.; Tkachev, D. L.
8
2019
A general existence result for isothermal two-phase flows with phase transition. Zbl 1441.35189
Hantke, Maren; Thein, Ferdinand
7
2019
Strong solutions to the density-dependent incompressible Cahn-Hilliard-Navier-Stokes system. Zbl 1441.35205
Zhao, Xiaopeng
7
2019
Global large solutions to planar magnetohydrodynamics equations with temperature-dependent coefficients. Zbl 1441.35198
Li, Yachun; Shang, Zhaoyang
7
2019
Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds. Zbl 1437.35482
Galimberti, L.; Karlsen, K. H.
7
2019
Diffusion models for mixtures using a stiff dissipative hyperbolic formalism. Zbl 1428.35344
Boudin, Laurent; Grec, Bérénice; Pavan, Vincent
5
2019
Conformal scattering of the Maxwell-scalar field system on de Sitter space. Zbl 1445.83004
Taujanskas, Grigalius
5
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
Well-posedness and blow-up criterion for the Chaplygin gas equations in \(\mathbb{R}^N\). Zbl 1441.35167
Wang, Zhen; Wu, Xinglong
3
2019
\(L^p\) time asymptotic decay for general hyperbolic-parabolic balance laws with applications. Zbl 1437.35095
Zeng, Yanni
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
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
2
2019
Diffusion limit of a Boltzmann-Poisson system with nonlinear equilibrium state. Zbl 1428.35263
Addala, Lanoir; Tayeb, Mohamed Lazhar
1
2019
On the initial-boundary value problem for the Euler equations in presence of a rarefaction wave. Zbl 1428.35328
Li, Dening
1
2019
On a hyperbolic system arising in liquid crystals modeling. Zbl 1388.76023
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
25
2018
On the compactness of finite energy weak solutions to the quantum Navier-Stokes equations. Zbl 1390.35223
Antonelli, Paolo; Spirito, Stefano
21
2018
Low regularity Cauchy problem for the fifth-order modified KdV equations on \(\mathbb{T}\). Zbl 1417.35172
Kwak, Chulkwang
14
2018
Regularity estimates for scalar conservation laws in one space dimension. Zbl 1437.35492
Marconi, Elio
13
2018
The weak null condition and Kaluza-Klein spacetimes. Zbl 1394.35500
Wyatt, Zoe
11
2018
Definitions of solutions to the IBVP for multi-dimensional scalar balance laws. Zbl 1406.35189
Rossi, Elena
11
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
11
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
Uniform regularity for free-boundary Navier-Stokes equations with surface tension. Zbl 1383.76039
Elgindi, Tarek; Lee, Donghyun
9
2018
The two-dimensional unsteady supersonic flow around a convex corner. Zbl 1418.35253
Sheng, Wancheng; You, Shouke
8
2018
Existence and Lipschitz stability for \(\alpha\)-dissipative solutions of the two-component Hunter-Saxton system. Zbl 1417.35169
Grunert, Katrin; Nordli, Anders
7
2018
Non-uniqueness of energy-conservative solutions to the isentropic compressible two-dimensional Euler equations. Zbl 1448.76127
Klingenberg, Christian; Markfelder, Simon
7
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
Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities. Zbl 1406.35190
Towers, John D.
5
2018
...and 352 more Documents
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Cited by 3,388 Authors

36 Feireisl, Eduard
35 Andreianov, Boris
32 Kawashima, Shuichi
30 Coclite, Giuseppe Maria
29 LeFloch, Philippe Gerard
28 Colombo, Rinaldo M.
28 Karlsen, Kenneth Hvistendahl
28 Panov, Evgeniy Yu.
27 Saanouni, Tarek
26 Guo, Boling
25 Ghoshal, Shyam Sundar
25 Rosini, Massimiliano Daniele
25 Secchi, Paolo
25 Wang, Weike
24 Goatin, Paola
23 Risebro, Nils Henrik
22 Ikehata, Ryo
22 Speck, Jared
21 Chen, Gui-Qiang G.
21 Xin, Zhouping
20 Gwiazda, Piotr
20 Shen, Chun
20 Sun, Meina
19 Garavello, Mauro
19 Ueda, Yoshihiro
19 Wei, Changhua
18 Hu, Yanbo
18 Morando, Alessandro
18 Vasseur, Alexis F.
18 Wang, Dehua
18 Wu, Zhigang
18 Zumbrun, Kevin R.
17 Holden, Helge
17 Li, Yachun
17 Mishra, Siddhartha
17 Spirito, Stefano
17 Tan, Zhong
17 Yin, Huicheng
17 Yuan, Hairong
16 Chen, Geng
16 Crippa, Gianluca
16 Disconzi, Marcelo Mendes
16 Duan, Renjun
16 Trebeschi, Paola
16 Wang, Shu
15 Carrillo de la Plata, José Antonio
15 Dias, João-Paulo
15 Grunert, Katrin
15 Li, Hailiang
14 Adimurthi, A.
14 D’Abbicco, Marcello
14 Dafermos, Constantine
14 Di Ruvo, Lorenzo
14 Ding, Min
14 Gowda, G. D. Veerappa
14 Herty, Michael Matthias
14 Ikeda, Masahiro
14 Naumkin, Pavel Ivanovich
14 Tataru, Daniel
14 Xu, Jiang
14 Zhang, Yinghui
14 Zhao, Huijiang
14 Zhu, Changjiang
13 Bianchini, Stefano
13 Choi, Young-Pil
13 Feng, Yuehong
13 Kreml, Ondřej
13 Rodnianski, Igor
13 Rossi, Elena
13 Valiente Kroon, Juan Antonio
13 Wakasugi, Yuta
13 Wang, Yuzhu
13 Yin, Haiyan
12 Christoforou, Cleopatra C.
12 Donadello, Carlotta
12 El Hajj, Ahmad
12 Fajman, David
12 Frid, Hermano
12 Kagei, Yoshiyuki
12 Lindblad, Hans
12 Masmoudi, Nader
12 Oliynyk, Todd Andrew
12 Peng, Yuejun
12 Popivanov, Nedyu Iv.
12 Smulevici, Jacques
12 Sobajima, Motohiro
11 Chen, Robin Ming
11 Chiodaroli, Elisabetta
11 Corli, Andrea
11 Dinh, Van Duong
11 Folino, Raffaele
11 Ha, Seung-Yeal
11 Hayashi, Nakao
11 Kurganov, Alexander
11 Marchesin, Dan
11 Masaki, Satoshi
11 Oh, Sung-Jin
11 Seo, Ihyeok
11 Tkachev, Dmitriĭ Leonidovich
11 Towers, John D.
...and 3,288 more Authors
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Cited in 382 Journals

306 Journal of Differential Equations
184 Journal of Hyperbolic Differential Equations
140 Journal of Mathematical Analysis and Applications
128 Archive for Rational Mechanics and Analysis
115 SIAM Journal on Mathematical Analysis
98 Journal of Mathematical Physics
96 Communications in Mathematical Physics
91 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
86 Mathematical Methods in the Applied Sciences
82 ZAMP. Zeitschrift für angewandte Mathematik und Physik
79 Discrete and Continuous Dynamical Systems
63 Communications on Pure and Applied Analysis
59 Journal of Computational Physics
58 Communications in Partial Differential Equations
57 Nonlinear Analysis. Real World Applications
54 Journal of Functional Analysis
47 Annales Henri Poincaré
44 Nonlinearity
44 Journal of Evolution Equations
43 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
42 Classical and Quantum Gravity
42 Networks and Heterogeneous Media
38 Journal of Mathematical Fluid Mechanics
37 Journal de Mathématiques Pures et Appliquées. Neuvième Série
36 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
35 Applicable Analysis
34 NoDEA. Nonlinear Differential Equations and Applications
34 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
33 Quarterly of Applied Mathematics
32 Annals of PDE
31 Journal of Scientific Computing
29 Communications on Pure and Applied Mathematics
28 Advances in Mathematics
28 Transactions of the American Mathematical Society
27 Calculus of Variations and Partial Differential Equations
24 Applied Mathematics Letters
24 Acta Mathematica Scientia. Series B. (English Edition)
24 Boundary Value Problems
22 Journal of Nonlinear Science
21 Inventiones Mathematicae
21 Discrete and Continuous Dynamical Systems. Series B
20 Proceedings of the American Mathematical Society
20 Applied Numerical Mathematics
19 Mathematics of Computation
19 Physica D
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
19 Kinetic and Related Models
19 Séminaire Laurent Schwartz. EDP et Applications
18 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
18 Science China. Mathematics
17 Asymptotic Analysis
17 Discrete and Continuous Dynamical Systems. Series S
16 Mathematische Annalen
16 Numerische Mathematik
16 Communications in Contemporary Mathematics
16 Bulletin of the Brazilian Mathematical Society. New Series
16 Analysis & PDE
15 Letters in Mathematical Physics
15 Chinese Annals of Mathematics. Series B
15 Journal of Dynamics and Differential Equations
14 Computers & Mathematics with Applications
14 Applied Mathematics and Computation
13 Studies in Applied Mathematics
13 Abstract and Applied Analysis
13 Acta Mathematica Sinica. English Series
12 Applied Mathematics and Optimization
12 Analysis and Applications (Singapore)
12 SN Partial Differential Equations and Applications
11 Computer Methods in Applied Mechanics and Engineering
11 General Relativity and Gravitation
11 Journal of Computational and Applied Mathematics
11 Mathematische Nachrichten
11 Acta Applicandae Mathematicae
11 SIAM Journal on Scientific Computing
11 Computational Geosciences
10 Journal of Geometry and Physics
10 Numerical Methods for Partial Differential Equations
10 Journal of High Energy Physics
9 Computers and Fluids
9 BIT
9 Duke Mathematical Journal
9 Journal of the American Mathematical Society
9 Advances in Nonlinear Analysis
8 Annales de l’Institut Fourier
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Osaka Journal of Mathematics
8 SIAM Journal on Numerical Analysis
8 SIAM Journal on Applied Mathematics
8 Bulletin of the American Mathematical Society. New Series
8 Electronic Journal of Differential Equations (EJDE)
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8 Annals of Mathematics. Second Series
8 Journal of the European Mathematical Society (JEMS)
8 Advances in Mathematical Physics
8 Stochastic and Partial Differential Equations. Analysis and Computations
7 Journal of Engineering Mathematics
7 Journal of Statistical Physics
7 Reviews in Mathematical Physics
7 Indiana University Mathematics Journal
7 Journal of the London Mathematical Society. Second Series
...and 282 more Journals
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Cited in 53 Fields

3,553 Partial differential equations (35-XX)
1,400 Fluid mechanics (76-XX)
425 Numerical analysis (65-XX)
365 Relativity and gravitational theory (83-XX)
169 Mechanics of deformable solids (74-XX)
167 Quantum theory (81-XX)
157 Statistical mechanics, structure of matter (82-XX)
151 Dynamical systems and ergodic theory (37-XX)
144 Differential geometry (53-XX)
110 Probability theory and stochastic processes (60-XX)
98 Global analysis, analysis on manifolds (58-XX)
94 Operations research, mathematical programming (90-XX)
85 Optics, electromagnetic theory (78-XX)
71 Biology and other natural sciences (92-XX)
67 Calculus of variations and optimal control; optimization (49-XX)
60 Operator theory (47-XX)
59 Harmonic analysis on Euclidean spaces (42-XX)
54 Functional analysis (46-XX)
53 Classical thermodynamics, heat transfer (80-XX)
49 Systems theory; control (93-XX)
46 Ordinary differential equations (34-XX)
45 Real functions (26-XX)
45 Mechanics of particles and systems (70-XX)
36 Integral equations (45-XX)
35 Geophysics (86-XX)
31 Astronomy and astrophysics (85-XX)
19 Approximations and expansions (41-XX)
14 Special functions (33-XX)
13 Measure and integration (28-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Integral transforms, operational calculus (44-XX)
9 Algebraic geometry (14-XX)
8 General and overarching topics; collections (00-XX)
8 General topology (54-XX)
7 Statistics (62-XX)
5 History and biography (01-XX)
5 Topological groups, Lie groups (22-XX)
5 Functions of a complex variable (30-XX)
5 Potential theory (31-XX)
4 Nonassociative rings and algebras (17-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 Computer science (68-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 \(K\)-theory (19-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)

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