Fougères, Florent On the derivation of the linear Boltzmann equation from the nonideal Rayleigh gas. Adaptive pruning and improvement of the convergence rate. (English) Zbl 07941069 J. Stat. Phys. 191, No. 10, Paper No. 136, 16 p. (2024). MSC: 82Cxx 76Pxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Sifan Rough solutions of the relativistic Euler equations. (English) Zbl 07938516 J. Hyperbolic Differ. Equ. 21, No. 2, 423-500 (2024). MSC: 35Q31 35Q75 35Q35 35L52 35L72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schippa, Robert Strichartz estimates for Maxwell equations in media: the partially anisotropic case. (English) Zbl 1545.35195 Commun. Partial Differ. Equations 49, No. 4, 279-332 (2024). MSC: 35Q61 78A60 35L45 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huneau, Cécile; Luk, Jonathan High-frequency solutions to the Einstein equations. (English) Zbl 07879915 Classical Quantum Gravity 41, No. 14, Article ID 143002, 48 p. (2024). Reviewer: Mohammad Khorrami (Tehrān) MSC: 83C05 83C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ai, Albert; Ifrim, Mihaela; Tataru, Daniel The time-like minimal surface equation in Minkowski space: low regularity solutions. (English) Zbl 1537.35245 Invent. Math. 235, No. 3, 745-891 (2024). Reviewer: Dongbing Zha (Shanghai) MSC: 35L72 35B65 58E12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schippa, Robert; Schnaubelt, Roland Strichartz estimates for Maxwell equations in media: the fully anisotropic case. (English) Zbl 1547.35655 J. Hyperbolic Differ. Equ. 20, No. 4, 917-966 (2023). MSC: 35Q60 78A25 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Chengbo Sharp local well-posedness for quasilinear wave equations with spherical symmetry. (English) Zbl 1533.35214 J. Eur. Math. Soc. (JEMS) 25, No. 11, 4459-4520 (2023). MSC: 35L72 35B30 35B45 35B65 35L15 42B25 42B37 46B70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ohlmann, Gaspard Ill-posedness of a quasilinear wave equation in two dimensions for data in \(H^{7/4}\). (English) Zbl 1527.35486 Pure Appl. Anal. 5, No. 3, 507-540 (2023). MSC: 35R25 35A21 35A30 35D30 35L72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ivanovici, Oana Dispersive estimates for the Schrödinger equation in a model convex domain and applications. (English) Zbl 1523.58028 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 4, 959-1008 (2023). MSC: 58J35 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Xinliang; Chen, Haoyang; Yin, Silu Low regularity ill-posedness for elastic waves driven by shock formation. (English) Zbl 1522.35338 Am. J. Math. 145, No. 4, 1111-1181 (2023). MSC: 35L72 35L52 35R25 74J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moşincat, Răzvan; Pilod, Didier Unconditional uniqueness for the Benjamin-Ono equation. (English) Zbl 1518.35012 Pure Appl. Anal. 5, No. 2, 285-322 (2023). MSC: 35A02 35Q53 76B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schippa, Robert; Schnaubelt, Roland On quasilinear Maxwell equations in two dimensions. (English) Zbl 1508.35177 Pure Appl. Anal. 4, No. 2, 313-365 (2022). Reviewer: Catalin Popa (Iaşi) MSC: 35Q61 35B65 35L45 78A60 78A40 35A01 35A02 35S05 42B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zheng, Fan Long-term regularity of 3D gravity water waves. (English) Zbl 1504.35413 Commun. Pure Appl. Math. 75, No. 5, 1074-1180 (2022). MSC: 35Q35 76B15 35B65 35B10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Qian Rough solutions of the 3-D compressible Euler equations. (English) Zbl 1496.35304 Ann. Math. (2) 195, No. 2, 509-654 (2022). MSC: 35Q31 76N10 76Q05 35L40 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Disconzi, Marcelo M.; Luo, Chenyun; Mazzone, Giusy; Speck, Jared Rough sound waves in \(3D\) compressible Euler flow with vorticity. (English) Zbl 1496.35296 Sel. Math., New Ser. 28, No. 2, Paper No. 41, 153 p. (2022). MSC: 35Q31 35Q35 35L10 35L67 35B65 76L05 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carlotto, Alessandro The general relativistic constraint equations. (English) Zbl 1514.83005 Living Rev. Relativ. 24, Paper No. 2, 170 p. (2021). MSC: 83C05 70H45 58J47 65E10 53C21 58H15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Huali Local existence with low regularity for the 2D compressible Euler equations. (English) Zbl 1490.76181 J. Hyperbolic Differ. Equ. 18, No. 3, 701-728 (2021). MSC: 76N10 35R05 35L60 × Cite Format Result Cite Review PDF Full Text: DOI
Bahouri, Hajer; Barilari, Davide; Gallagher, Isabelle Strichartz estimates and Fourier restriction theorems on the Heisenberg group. (English) Zbl 1460.35365 J. Fourier Anal. Appl. 27, No. 2, Paper No. 21, 42 p. (2021). MSC: 35R03 35Q40 35Q41 35L05 35L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Pilod, Didier; Saut, Jean-Claude; Selberg, Sigmund; Tesfahun, Achenef Dispersive estimates for full dispersion KP equations. (English) Zbl 1458.35083 J. Math. Fluid Mech. 23, No. 1, Paper No. 25, 25 p. (2021). MSC: 35B45 35Q35 35Q53 42B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ai, Albert Low regularity solutions for gravity water waves II: the 2D case. (English) Zbl 1462.35275 Ann. PDE 6, No. 1, Paper No. 4, 117 p. (2020). MSC: 35Q35 76B15 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ai, Albert Low regularity solutions for gravity water waves. (English) Zbl 1451.35125 Water Waves 1, No. 1, 145-215 (2019). MSC: 35Q35 76B15 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bahouri, Hajer The Littlewood-Paley theory: a common thread of many works in nonlinear analysis. (English) Zbl 1435.42012 Eur. Math. Soc. Newsl. 112, 15-23 (2019). Reviewer: Mohamed Zitane (Meknès) MSC: 42B25 42B37 × Cite Format Result Cite Review PDF Full Text: DOI
Alazard, Thomas; Burq, Nicolas; Zuily, Claude Strichartz estimates and the Cauchy problem for the gravity water waves equations. (English) Zbl 1447.35001 Memoirs of the American Mathematical Society 1229. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3203-4/pbk; 978-1-4704-4921-6/ebook). v, 108 p. (2018). MSC: 35-02 35A27 35Q35 35S50 35S15 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Qian A geometric approach for sharp local well-posedness of quasilinear wave equations. (English) Zbl 1397.35158 Ann. PDE 3, No. 1, Paper No. 12, 108 p. (2017). MSC: 35L72 35L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Poyferré, Thibault; Nguyen, Quang-Huy A paradifferential reduction for the gravity-capillary waves system at low regularity and applications. (Une réduction paradifférentielle du système des vagues de gravité-capillarité à basse régularité et applications.) (English. French summary) Zbl 1397.35237 Bull. Soc. Math. Fr. 145, No. 4, 643-710 (2017). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q35 35A01 35B45 35B65 76B15 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Nguyen, Huy Quang A sharp Cauchy theory for the 2D gravity-capillary waves. (English) Zbl 1451.76028 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1793-1836 (2017). MSC: 76B15 76B03 35A23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie The resolution of the bounded \(L^2\) curvature conjecture in general relativity. (English) Zbl 1356.83004 Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 445-456 (2016). MSC: 83C05 35Q75 58J45 53Z05 35L05 81T13 83C75 83C57 × Cite Format Result Cite Review PDF Full Text: DOI
Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jérémie The resolution of the bounded \(L^2\) curvature conjecture in general relativity. (English) Zbl 1353.53073 Sémin. Laurent Schwartz, EDP Appl. 2014-2015, Exp. No. 1, 18 p. (2016). MSC: 53C50 35J10 35Q70 83C05 53C21 × Cite Format Result Cite Review PDF Full Text: DOI
de Poyferré, Thibault; Nguyen, Quang-Huy Strichartz estimates and local existence for the gravity-capillary waves with non-Lipschitz initial velocity. (English) Zbl 1344.35113 J. Differ. Equations 261, No. 1, 396-438 (2016). Reviewer: Keisuke Uchikoshi (Yokosuka) MSC: 35Q35 76B15 76B07 76B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klainerman, Sergiu; Rodnianski, Igor; Szeftel, Jeremie The bounded \(L^2\) curvature conjecture. (English) Zbl 1330.53089 Invent. Math. 202, No. 1, 91-216 (2015). Reviewer: Dumitru Motreanu (Perpignan) MSC: 53C50 53C21 35J10 83C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chemin, Jean-Yves; Salort, Delphine Wellposedness of some quasi-linear Schrödinger equations. (English) Zbl 1333.35225 Sci. China, Math. 58, No. 5, 891-914 (2015). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q41 35S50 35Q55 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Shanmugalingam, Nageswari; Yang, Dachun; Yuan, Wen Newton-Besov spaces and Newton-Triebel-Lizorkin spaces on metric measure spaces. (English) Zbl 1318.42030 Positivity 19, No. 2, 177-220 (2015). MSC: 42B35 46E35 30L99 × Cite Format Result Cite Review PDF Full Text: DOI
Casarino, Valentina; Peloso, Marco M. Strichartz estimates for the Schrödinger equation for the sublaplacian on complex spheres. (English) Zbl 1309.35100 Trans. Am. Math. Soc. 367, No. 4, 2631-2664 (2015). MSC: 35Q41 43A85 35B65 33C55 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Qian Causal geometry of rough Einstein CMCSH spacetime. (English) Zbl 1303.83006 J. Hyperbolic Differ. Equ. 11, No. 3, 563-601 (2014). MSC: 83C05 35L15 35L05 83C15 83C10 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qian Rough solutions of Einstein vacuum equations in CMCSH gauge. (English) Zbl 1294.83009 Commun. Math. Phys. 328, No. 3, 1275-1340 (2014). MSC: 83C05 83C15 83C25 35L05 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klainerman, Sergiu Recent results in mathematical GR. (English) Zbl 1267.83012 Int. J. Mod. Phys. D 22, No. 6, Article ID 1330012 (2013). MSC: 83C05 × Cite Format Result Cite Review PDF Full Text: DOI
Haspot, Boris Existence of strong solutions in critical spaces for barotropic viscous fluids in larger spaces. (English) Zbl 1238.35100 Sci. China, Math. 55, No. 2, 309-336 (2012). MSC: 35Q35 76N10 35D35 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Haspot, Boris Existence of global strong solutions in critical spaces for barotropic viscous fluids. (English) Zbl 1427.76230 Arch. Ration. Mech. Anal. 202, No. 2, 427-460 (2011). MSC: 76N10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Sogge, Christopher D.; Wang, Chengbo Concerning the wave equation on asymptotically Euclidean manifolds. (English) Zbl 1231.35030 J. Anal. Math. 112, 1-32 (2010). Reviewer: Radu Precup (Cluj-Napoca) MSC: 35B45 35L71 35L15 58J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Christianson, Hans; Hur, Vera Mikyoung; Staffilani, Gigliola Strichartz estimates for the water-wave problem with surface tension. (English) Zbl 1280.35107 Commun. Partial Differ. Equations 35, No. 10-12, 2195-2252 (2010). MSC: 35Q35 76B15 35B30 35B45 76B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Haspot, Boris Existence of strong solutions for nonisothermal Korteweg system. (English) Zbl 1245.76131 Ann. Math. Blaise Pascal 16, No. 2, 431-481 (2009). MSC: 76N10 35D30 35Q35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Blair, Matthew D. Spectral cluster estimates for metrics of Sobolev regularity. (English) Zbl 1189.42013 Trans. Am. Math. Soc. 361, No. 3, 1209-1240 (2009). Reviewer: Anvarjon Ahmedov (Serdang) MSC: 42C15 35P99 35L15 35R05 × Cite Format Result Cite Review PDF Full Text: DOI
Abidi, Hammadi On the uniqueness for the Boussinesq system with non linear diffusion. (Sur l’unicité pour le système de Boussinesq avec diffusion non linéaire.) (French) Zbl 1156.35074 J. Math. Pures Appl. (9) 91, No. 1, 80-99 (2009). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Anton, Ramona Strichartz inequalities for Lipschitz metrics on manifolds and nonlinear Schrödinger equation on domains. (English) Zbl 1157.35100 Bull. Soc. Math. Fr. 136, No. 1, 27-65 (2008). MSC: 35Q55 58J05 81Q20 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Germain, Pierre Besov spaces and self-similar solutions for the wave-map equation. (English) Zbl 1171.35078 Commun. Partial Differ. Equations 33, No. 9, 1571-1596 (2008). Reviewer: Satyanad Kichenassamy (Reims) MSC: 35L70 35A05 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Abidi, Hammadi Navier-Stokes equation with variable density and viscosity in critical space. (Equation de Navier-Stokes avec densité et viscosité variables dans l’espace critique.) (French) Zbl 1175.35099 Rev. Mat. Iberoam. 23, No. 2, 537-586 (2007). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 35B30 76D03 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid EuDML
Carles, Rémi WKB analysis for nonlinear Schrödinger equations with potential. (English) Zbl 1123.35062 Commun. Math. Phys. 269, No. 1, 195-221 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q55 81Q20 35B25 76N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Salort, Delphine The Schrödinger equation type with a nonelliptic operator. (English) Zbl 1387.35142 Commun. Partial Differ. Equations 32, No. 2, 209-228 (2007). MSC: 35J10 35Q40 35Q55 81Q20 81U30 × Cite Format Result Cite Review PDF Full Text: DOI
Salort, Delphine Dispersion and Strichartz estimates for the Liouville equation. (English) Zbl 1154.35043 J. Differ. Equations 233, No. 2, 543-584 (2007). Reviewer: Matteo Franca (Ancona) MSC: 35J60 35B45 53C22 × Cite Format Result Cite Review PDF Full Text: DOI Link
Blair, Matthew Strichartz estimates for wave equations with coefficients of Sobolev regularity. (English) Zbl 1098.35036 Commun. Partial Differ. Equations 31, No. 4-6, 649-688 (2006). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B45 35L05 35B65 35R05 × Cite Format Result Cite Review PDF Full Text: DOI
Salort, Delphine Dispersion and Strichartz estimates for the Liouville equation. (English) Zbl 1090.35079 C. R., Math., Acad. Sci. Paris 342, No. 7, 489-492 (2006). MSC: 35J60 35B45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Andersson, L. (ed.); Galloway, G. (ed.); Klainerman, S. (ed.) Selected papers from the Miami waves conference on nonlinear wave equations, geometric analysis and general relativity, Coral Gables, FL, USA, January 2004. (English) Zbl 1073.35501 J. Hyperbolic Differ. Equ. 2, No. 2, 279-564 (2005). MSC: 35-06 83-06 00B25 × Cite Format Result Cite Review PDF Full Text: DOI
Tataru, Daniel; Geba, Dan-Andrei Dispersive estimates for wave equations. (English) Zbl 1078.35024 Commun. Partial Differ. Equations 30, No. 5-6, 849-880 (2005). Reviewer: Tuncay Aktosun (Arlington) MSC: 35B45 35L15 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Klainerman, Sergiu; Rodnianski, Igor Bilinear estimates on curved space-times. (English) Zbl 1284.58018 J. Hyperbolic Differ. Equ. 2, No. 2, 279-291 (2005). MSC: 58J45 35L05 35Q75 × Cite Format Result Cite Review PDF Full Text: DOI
Klainerman, Sergiu; Rodnianski, Igor Causal geometry of Einstein-vacuum spacetimes with finite curvature flux. (English) Zbl 1136.58018 Invent. Math. 159, No. 3, 437-529 (2005). Reviewer: Joseph D. Zund (Las Cruces) MSC: 58J45 35B30 35Q75 83C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rodnianski, Igor; Tao, Terence Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions. (English) Zbl 1106.35073 Commun. Math. Phys. 251, No. 2, 377-426 (2004). MSC: 35Q40 81Q05 81T13 35L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Geba, Dan-Andrei A local well-posedness result for the quasilinear wave equation in \({\mathbb R}^{2+1}\). (English) Zbl 1063.35117 Commun. Partial Differ. Equations 29, No. 3-4, 323-360 (2004). Reviewer: Horst Lange (Köln) MSC: 35L70 35A07 × Cite Format Result Cite Review PDF Full Text: DOI
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. (English) Zbl 1362.35282 J. Nonlinear Math. Phys. 10, Suppl. 1, 12-27 (2003). MSC: 35Q55 35L15 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Klainerman, S.; Rodnianski, I. Improved local well-posedness for quasilinear wave equations in dimension three. (English) Zbl 1031.35091 Duke Math. J. 117, No. 1, 1-124 (2003). Reviewer: Messoud Efendiev (Berlin) MSC: 35L15 35L70 58J45 35B30 × Cite Format Result Cite Review PDF Full Text: DOI
Staffilani, Gigliola; Tataru, Daniel Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. (English) Zbl 1010.35015 Commun. Partial Differ. Equations 27, No. 7-8, 1337-1372 (2002). Reviewer: Miloslav Znojil (Řež) MSC: 35B45 81U30 × Cite Format Result Cite Review PDF Full Text: DOI
Klainerman, Sergiu; Selberg, Sigmund Bilinear estimates and applications to nonlinear wave equations. (English) Zbl 1146.35389 Commun. Contemp. Math. 4, No. 2, 223-295 (2002). MSC: 35L70 35-02 35B30 35L30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klainerman, Sergiu; Rodnianski, Igor Rough solutions of the Einstein vacuum equations. (English. Abridged French version) Zbl 1008.35079 C. R., Math., Acad. Sci. Paris 334, No. 2, 125-130 (2002). MSC: 35Q75 83C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tataru, Daniel Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. III. (English) Zbl 0990.35027 J. Am. Math. Soc. 15, No. 2, 419-442 (2002). MSC: 35B45 35L10 35L70 × Cite Format Result Cite Review PDF Full Text: DOI
Danchin, Raphaël Local theory in critical spaces for compressible viscous and heat-conductive gases. (English) Zbl 1007.35071 Commun. Partial Differ. Equations 26, No. 7-8, 1183-1233 (2001). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76N10 80A20 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Danchin, Raphaël; Desjardins, Benoît Existence of solutions for compressible fluid models of Korteweg type. (English) Zbl 1010.76075 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 18, No. 1, 97-133 (2001). Reviewer: Mária Lukáčová (Hamburg) MSC: 76N10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML