Craig, Walter; Guyenne, Philippe; Sulem, Catherine Normal form transformations and Dysthe’s equation for the nonlinear modulation of deep-water gravity waves. (English) Zbl 1481.76043 Water Waves 3, No. 1, 127-152 (2021). MSC: 76B15 76M22 35Q35 70H05 PDFBibTeX XMLCite \textit{W. Craig} et al., Water Waves 3, No. 1, 127--152 (2021; Zbl 1481.76043) Full Text: DOI
Craig, Walter; Guyenne, Philippe; Sulem, Catherine The water wave problem and Hamiltonian transformation theory. (English) Zbl 1479.76013 Bodnár, Tomáš (ed.) et al., Waves in flows. Based on lectures given at the summer school, Prague, Czech Republic, August 27–31, 2018. Cham: Birkhäuser. Adv. Math. Fluid Mech., 113-196 (2021). MSC: 76B15 76B25 76M45 70H05 35Q35 35Q53 PDFBibTeX XMLCite \textit{W. Craig} et al., in: Waves in flows. Based on lectures given at the summer school, Prague, Czech Republic, August 27--31, 2018. Cham: Birkhäuser. 113--196 (2021; Zbl 1479.76013) Full Text: DOI
Craig, Walter; García-Azpeitia, Carlos Standing waves of fixed period for \(n+1\) vortex filaments. (English) Zbl 1452.35027 J. Dyn. Differ. Equations 32, No. 4, 1631-1640 (2020). MSC: 35B36 35B10 35B32 35Q55 37K10 PDFBibTeX XMLCite \textit{W. Craig} and \textit{C. García-Azpeitia}, J. Dyn. Differ. Equations 32, No. 4, 1631--1640 (2020; Zbl 1452.35027) Full Text: DOI arXiv
Craig, Walter A course on partial differential equations. (English) Zbl 1415.35002 Graduate Studies in Mathematics 197. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4292-7/hbk; 978-1-4704-5057-1/ebook). ix, 205 p. (2018). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35-01 35K05 35L05 35J05 42A16 35L60 35Q41 35B50 PDFBibTeX XMLCite \textit{W. Craig}, A course on partial differential equations. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1415.35002) Full Text: DOI
Craig, Walter; Gazeau, Maxime; Lacave, Christophe; Sulem, Catherine Bloch theory and spectral gaps for linearized water waves. (English) Zbl 1401.76035 SIAM J. Math. Anal. 50, No. 5, 5477-5501 (2018). MSC: 76B15 35B27 35P15 PDFBibTeX XMLCite \textit{W. Craig} et al., SIAM J. Math. Anal. 50, No. 5, 5477--5501 (2018; Zbl 1401.76035) Full Text: DOI arXiv
Starko, Darij; Craig, Walter The wave equation in Friedmann-Robertson-Walker space-times and asymptotics of the intensity and distance relationship of a localised source. (English) Zbl 1390.83480 J. Math. Phys. 59, No. 4, 042502, 9 p. (2018). MSC: 83F05 83C20 83E05 83C50 35L15 35Q75 83C05 35L05 85A05 83C75 53Z05 PDFBibTeX XMLCite \textit{D. Starko} and \textit{W. Craig}, J. Math. Phys. 59, No. 4, 042502, 9 p. (2018; Zbl 1390.83480) Full Text: DOI
Craig, Walter; García-Azpeitia, Carlos; Yang, Chi-Ru Standing waves in near-parallel vortex filaments. (English) Zbl 1386.35337 Commun. Math. Phys. 350, No. 1, 175-203 (2017). MSC: 35Q35 37J20 76B47 PDFBibTeX XMLCite \textit{W. Craig} et al., Commun. Math. Phys. 350, No. 1, 175--203 (2017; Zbl 1386.35337) Full Text: DOI arXiv
Craig, Walter; Sulem, Catherine Mapping properties of normal forms transformations for water waves. (English) Zbl 1382.37066 Boll. Unione Mat. Ital. 9, No. 2, 289-318 (2016). MSC: 37K05 35Q53 35Q35 76B15 37J40 PDFBibTeX XMLCite \textit{W. Craig} and \textit{C. Sulem}, Boll. Unione Mat. Ital. 9, No. 2, 289--318 (2016; Zbl 1382.37066) Full Text: DOI
Craig, Walter On the Hamiltonian for water waves. arXiv:1612.08971 Preprint, arXiv:1612.08971 [math.AP] (2016). MSC: 35Q31 35L72 76B15 BibTeX Cite \textit{W. Craig}, ``On the Hamiltonian for water waves'', Preprint, arXiv:1612.08971 [math.AP] (2016) Full Text: arXiv OA License
Craig, Walter; Sulem, Catherine Normal form transformations for capillary-gravity water waves. (English) Zbl 1331.35274 Guyenne, Philippe (ed.) et al., Hamiltonian partial differential equations and applications. Selected papers based on the presentations at the conference on Hamiltonian PDEs: analysis, computations and applications, Toronto, Canada, January 10–12, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-2949-8/hbk; 978-1-4939-2950-4/ebook). Fields Institute Communications 75, 73-110 (2015). MSC: 35Q35 PDFBibTeX XMLCite \textit{W. Craig} and \textit{C. Sulem}, Fields Inst. Commun. 75, 73--110 (2015; Zbl 1331.35274) Full Text: DOI
Craig, Walter; Guyenne, Philippe; Sulem, Catherine Internal waves coupled to surface gravity waves in three dimensions. (English) Zbl 1327.76043 Commun. Math. Sci. 13, No. 4, 893-910 (2015). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 76B55 37K05 35Q53 76B07 76B15 PDFBibTeX XMLCite \textit{W. Craig} et al., Commun. Math. Sci. 13, No. 4, 893--910 (2015; Zbl 1327.76043) Full Text: DOI
Abbasi, Bilal; Craig, Walter On the initial value problem for the wave equation in Friedmann-Robertson-Walker space-times. (English) Zbl 1327.35366 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2169, Article ID 20140361, 13 p. (2014). Reviewer: Alessandro Selvitella (Hamilton) MSC: 35Q75 35L15 83F05 PDFBibTeX XMLCite \textit{B. Abbasi} and \textit{W. Craig}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2169, Article ID 20140361, 13 p. (2014; Zbl 1327.35366) Full Text: DOI arXiv
Craig, Walter; Huang, Xiangdi; Wang, Yun Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations. (English) Zbl 1293.35236 J. Math. Fluid Mech. 15, No. 4, 747-758 (2013). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q35 35B65 76N10 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{W. Craig} et al., J. Math. Fluid Mech. 15, No. 4, 747--758 (2013; Zbl 1293.35236) Full Text: DOI arXiv
Craig, Walter; Selvitella, Alessandro; Wang, Yun Birkhoff normal form for the nonlinear Schrödinger equation. (English) Zbl 1291.35338 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 2, 215-228 (2013). MSC: 35Q55 PDFBibTeX XMLCite \textit{W. Craig} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 2, 215--228 (2013; Zbl 1291.35338) Full Text: DOI
Craig, Walter On the singular set and the energy concentration set of Navier-Stokes. (Sur l’ensemble singulier et l’ensemble de concentration d’énergie de Navier-stokes.) (French) Zbl 1308.35164 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2009-2010, Exp. No. VIII, 11 p. (2012). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 53C35 35D30 35B45 37D40 37D20 PDFBibTeX XMLCite \textit{W. Craig}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2009--2010, Exp. No. VIII, 11 p. (2012; Zbl 1308.35164)
Craig, Walter; Guyenne, Philippe; Sulem, Catherine Hamiltonian higher-order nonlinear Schrödinger equations for broader-banded waves on deep water. (English) Zbl 1258.76035 Eur. J. Mech., B, Fluids 32, 22-31 (2012). MSC: 76B15 35Q55 PDFBibTeX XMLCite \textit{W. Craig} et al., Eur. J. Mech., B, Fluids 32, 22--31 (2012; Zbl 1258.76035) Full Text: DOI
Craig, Walter; Lannes, David; Sulem, Catherine Water waves over a rough bottom in the shallow water regime. (English) Zbl 1329.76069 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 2, 233-259 (2012). MSC: 76D07 76B15 35Q31 35B27 35C20 PDFBibTeX XMLCite \textit{W. Craig} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 2, 233--259 (2012; Zbl 1329.76069) Full Text: DOI arXiv
Biryuk, Andrei; Craig, Walter Bounds on Kolmogorov spectra for the Navier-Stokes equations. (English) Zbl 1236.35101 Physica D 241, No. 4, 426-438 (2012). MSC: 35Q30 76D03 35D30 35B45 PDFBibTeX XMLCite \textit{A. Biryuk} and \textit{W. Craig}, Physica D 241, No. 4, 426--438 (2012; Zbl 1236.35101) Full Text: DOI arXiv
Craig, Walter; Guyenne, Philippe; Sulem, Catherine A Hamiltonian approach to nonlinear modulation of surface water waves. (English) Zbl 1231.76028 Wave Motion 47, No. 8, 552-563 (2010). MSC: 76B15 35Q55 35L71 37K05 37N10 PDFBibTeX XMLCite \textit{W. Craig} et al., Wave Motion 47, No. 8, 552--563 (2010; Zbl 1231.76028) Full Text: DOI
Arnold, Maxim; Craig, Walter On the size of the Navier-Stokes singular set. (English) Zbl 1194.35301 Discrete Contin. Dyn. Syst. 28, No. 3, 1165-1178 (2010). MSC: 35Q30 53C35 76D03 76D05 35A27 PDFBibTeX XMLCite \textit{M. Arnold} and \textit{W. Craig}, Discrete Contin. Dyn. Syst. 28, No. 3, 1165--1178 (2010; Zbl 1194.35301) Full Text: DOI
Craig, Walter; Weinstein, Steven On determinism and well-posedness in multiple time dimensions. (English) Zbl 1181.35140 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2110, 3023-3046 (2009). MSC: 35L15 35G10 35R25 PDFBibTeX XMLCite \textit{W. Craig} and \textit{S. Weinstein}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2110, 3023--3046 (2009; Zbl 1181.35140) Full Text: DOI arXiv
de Bouard, Anne; Craig, Walter; Díaz-Espinosa, Oliver; Guyenne, Philippe; Sulem, Catherine Long wave expansions for water waves over random topography. (English) Zbl 1228.76029 Nonlinearity 21, No. 9, 2143-2178 (2008). MSC: 76B15 76M35 76M45 76M50 35Q53 35Q35 PDFBibTeX XMLCite \textit{A. de Bouard} et al., Nonlinearity 21, No. 9, 2143--2178 (2008; Zbl 1228.76029) Full Text: DOI arXiv
Craig, Walter Transformation theory of Hamiltonian PDE and the problem of water waves. (English) Zbl 1149.37033 Craig, Walter (ed.), Hamiltonian dynamical systems and applications. Proceedings of the NATO Advanced Study Institute on Hamiltonian dynamical systems and applications, Montreal, Canada, June, 18-29, 2007. Berlin: Springer (ISBN 978-1-4020-6963-5/pbk; 978-1-4020-6962-8/hbk). NATO Science for Peace and Security Series B: Physics and Biophysics, 67-83 (2008). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K05 37K55 37N10 35Q35 35Q53 76B15 PDFBibTeX XMLCite \textit{W. Craig}, in: Hamiltonian dynamical systems and applications. Proceedings of the NATO Advanced Study Institute on Hamiltonian dynamical systems and applications, Montreal, Canada, June, 18-29, 2007. Berlin: Springer. 67--83 (2008; Zbl 1149.37033)
Craig, W.; Wayne, C. E. Mathematical aspects of surface water waves. (English. Russian original) Zbl 1203.76023 Russ. Math. Surv. 62, No. 3, 453-472 (2007); translation from Usp. Mat. Nauk 62, No. 3, 95-116 (2007). MSC: 76B15 76-02 35Q53 76B03 PDFBibTeX XMLCite \textit{W. Craig} and \textit{C. E. Wayne}, Russ. Math. Surv. 62, No. 3, 453--472 (2007; Zbl 1203.76023); translation from Usp. Mat. Nauk 62, No. 3, 95--116 (2007) Full Text: DOI
Biryuk, Andrei; Craig, Walter; Ibrahim, Slim Construction of suitable weak solutions of the Navier-Stokes equations. (English) Zbl 1205.35187 Chen, Gui-Qiang (ed.) et al., Stochastic analysis and partial differential equations. Emphasis year 2004–2005 on stochastic analysis and partial differential equations, Evanston, IL, USA. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4059-7/pbk). Contemporary Mathematics 429, 1-18 (2007). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q30 76D03 35D30 PDFBibTeX XMLCite \textit{A. Biryuk} et al., Contemp. Math. 429, 1--18 (2007; Zbl 1205.35187)
Craig, Walter; Matei, Ana-Maria On the regularity of the Neumann problem for free surfaces with surface tension. (English) Zbl 1157.35381 Proc. Am. Math. Soc. 135, No. 8, 2497-2504 (2007). MSC: 35J65 76B15 PDFBibTeX XMLCite \textit{W. Craig} and \textit{A.-M. Matei}, Proc. Am. Math. Soc. 135, No. 8, 2497--2504 (2007; Zbl 1157.35381) Full Text: DOI
Craig, Walter (ed.); Groves, Mark D. (ed.); Schneider, Guido (ed.) Mathematical theory of water waves. Abstracts from the workshop held November 12–18, 2006. (English) Zbl 1177.76045 Oberwolfach Rep. 3, No. 4, 3007-30056 (2006). MSC: 76B15 76-06 35Q35 00B05 PDFBibTeX XMLCite \textit{W. Craig} (ed.) et al., Oberwolfach Rep. 3, No. 4, 3007--30056 (2006; Zbl 1177.76045) Full Text: DOI Link
Craig, W.; Guyenne, P.; Hammack, J.; Henderson, D.; Sulem, C. Solitary water wave interactions. (English) Zbl 1185.76463 Phys. Fluids 18, No. 5, Art. 057106, 25p. (2006). MSC: 76B25 35Q51 76-05 76B15 PDFBibTeX XMLCite \textit{W. Craig} et al., Phys. Fluids 18, No. 5, Art. 057106, 25p. (2006; Zbl 1185.76463) Full Text: DOI Link
Craig, Walter Surface water waves and tsunamis. (English) Zbl 1207.76016 J. Dyn. Differ. Equations 18, No. 3, 525-549 (2006). MSC: 76B15 35Q35 76-02 76B03 86A05 35Q53 PDFBibTeX XMLCite \textit{W. Craig}, J. Dyn. Differ. Equations 18, No. 3, 525--549 (2006; Zbl 1207.76016) Full Text: DOI
Biryuk, Andrei; Craig, Walter; Panferov, Vladislav Strong solutions of the Boltzmann equation in one spatial dimension. (English) Zbl 1096.35001 C. R., Math., Acad. Sci. Paris 342, No. 11, 843-848 (2006). MSC: 35A05 76P05 PDFBibTeX XMLCite \textit{A. Biryuk} et al., C. R., Math., Acad. Sci. Paris 342, No. 11, 843--848 (2006; Zbl 1096.35001) Full Text: DOI
Craig, Walter Invariant tori for Hamiltonian PDE. (English) Zbl 1101.35068 Brunner, Hermann (ed.) et al., Nonlinear dynamics and evolution equations. Based on lectures given during the international conference, St. John’s, NL, Canada, July 6–10, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3721-4/hbk). Fields Institute Communications 48, 53-66 (2006). MSC: 35Q55 37K55 76B15 37K05 PDFBibTeX XMLCite \textit{W. Craig}, Fields Inst. Commun. 48, 53--66 (2006; Zbl 1101.35068)
Craig, Walter; Guyenne, Philippe; Nicholls, David P.; Sulem, Catherine Hamiltonian long-wave expansions for water waves over a rough bottom. (English) Zbl 1145.76325 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2055, 839-873 (2005). MSC: 76B15 35Q53 37K05 76M45 PDFBibTeX XMLCite \textit{W. Craig} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2055, 839--873 (2005; Zbl 1145.76325) Full Text: DOI
Craig, Walter; Guyenne, Philippe; Kalisch, Henrik Hamiltonian long-wave expansions for free surfaces and interfaces. (English) Zbl 1151.76385 Commun. Pure Appl. Math. 58, No. 12, 1587-1641 (2005). MSC: 76B15 35Q35 37K05 PDFBibTeX XMLCite \textit{W. Craig} et al., Commun. Pure Appl. Math. 58, No. 12, 1587--1641 (2005; Zbl 1151.76385) Full Text: DOI
Craig, Walter; Guyenne, Philippe; Kalisch, Henrik A new model for large amplitude long internal waves. (English. French summary) Zbl 1223.35256 C. R., Méc., Acad. Sci. Paris 332, No. 7, 525-530 (2004). MSC: 35Q35 PDFBibTeX XMLCite \textit{W. Craig} et al., C. R., Méc., Acad. Sci. Paris 332, No. 7, 525--530 (2004; Zbl 1223.35256) Full Text: DOI
Craig, Walter; Matei, Ana-Maria Regularity of progressive surface waves. (Sur la régularité des ondes progressives à la surface de l’eau.) (French) Zbl 1229.35032 Journées “Équations aux dérivées partielles”, Forges-les-Eaux, France, 2 au 6 juin 2003. Exposés Nos. I-XV. Nantes: Université de Nantes (ISBN 2-86939-207-9/pbk). Exp. No. IV, 9 p. (2003). MSC: 35D99 35J65 76B15 PDFBibTeX XMLCite \textit{W. Craig} and \textit{A.-M. Matei}, in: Journées ``Équations aux dérivées partielles'', Forges-les-Eaux, France, 2 au 6 juin 2003. Exposés Nos. I-XV. Nantes: Université de Nantes. Exp. No. IV, 9 p. (2003; Zbl 1229.35032) Full Text: Numdam EuDML
Craig, Walter Non-existence of solitary water waves in three dimensions. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). (English) Zbl 1013.76015 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 360, No. 1799, 2127-2135 (2002). MSC: 76B25 76B03 35Q51 76B15 35Q35 PDFBibTeX XMLCite \textit{W. Craig}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 360, No. 1799, 2127--2135 (2002; Zbl 1013.76015) Full Text: DOI
Craig, Walter \(L^\infty\) estimates for conservation laws with hyperviscous parabolic terms. (English) Zbl 1023.35071 Methods Appl. Anal. 7, No. 2, 407-416 (2000). Reviewer: V.D.Sharma (Mumbai) MSC: 35L65 35B45 35K55 PDFBibTeX XMLCite \textit{W. Craig}, Methods Appl. Anal. 7, No. 2, 407--416 (2000; Zbl 1023.35071) Full Text: DOI
Craig, Walter Small divisor problems in partial differential equations. (Problèmes de petits diviseurs dans les équations aux dérivées partielles.) (French) Zbl 0977.35014 Panoramas et Synthèses. 9. Paris: Société Mathématique de France. viii, 120 p. (2000). Reviewer: Satyanad Kichenassamy (Reims) MSC: 35B10 37K55 PDFBibTeX XMLCite \textit{W. Craig}, Problèmes de petits diviseurs dans les équations aux dérivées partielles. Paris: Société Mathématique de France (2000; Zbl 0977.35014)
Craig, Walter; Sulem, Catherine The water-wave problem and its long-wave and modulational limits. (English) Zbl 0968.76009 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 14-23 (2000). MSC: 76B15 76-02 35Q35 PDFBibTeX XMLCite \textit{W. Craig} and \textit{C. Sulem}, in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 14--23 (2000; Zbl 0968.76009)
Craig, Walter; Nicholls, David P. Traveling two and three dimensional capillary gravity water waves. (English) Zbl 0976.35049 SIAM J. Math. Anal. 32, No. 2, 323-359 (2000). Reviewer: Jan Chrastina (Brno) MSC: 35Q05 76B15 37K50 PDFBibTeX XMLCite \textit{W. Craig} and \textit{D. P. Nicholls}, SIAM J. Math. Anal. 32, No. 2, 323--359 (2000; Zbl 0976.35049) Full Text: DOI
Craig, Walter Singularities of Schrödinger’s equation and recurrent bicharacteristic flow. (English) Zbl 1384.35017 Bott, Raoul (ed.) et al., Current developments in mathematics, 1997. Papers from the conference held in Cambridge, MA, USA, 1997. Boston, MA: International Press (ISBN 1-57146-078-0/hbk). 213-218 (1999). MSC: 35J10 PDFBibTeX XMLCite \textit{W. Craig}, in: Current developments in mathematics, 1997. Papers from the conference held in Cambridge, MA, USA, 1997. Boston, MA: International Press. 213--218 (1999; Zbl 1384.35017) Full Text: DOI
Craig, Walter On the microlocal regularity of the Schrödinger kernel. (English) Zbl 0909.58052 Greiner, Peter C. (ed.) et al., Partial differential equations and their applications. Lectures given at the 1995 annual seminar of the Canadian Mathematical Society, Toronto, Canada, June 12–23, 1995. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 12, 71-90 (1997). Reviewer: Lubomira Softova (Sofia) MSC: 58J47 35G10 35K25 PDFBibTeX XMLCite \textit{W. Craig}, in: Partial differential equations and their applications. Lectures given at the 1995 annual seminar of the Canadian Mathematical Society, Toronto, Canada, June 12--23, 1995. Providence, RI: American Mathematical Society. 71--90 (1997; Zbl 0909.58052)
Craig, Walter; Schanz, Ulrich; Sulem, Catherine The modulational regime of three-dimensional water waves and the Davey-Stewartson system. (English) Zbl 0892.76008 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 14, No. 5, 615-667 (1997). MSC: 76B15 35Q35 35C10 PDFBibTeX XMLCite \textit{W. Craig} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 14, No. 5, 615--667 (1997; Zbl 0892.76008) Full Text: DOI Numdam EuDML
Craig, Walter KAM theory in infinite dimensions. (English) Zbl 0849.35075 Deift, Percy (ed.) et al., Dynamical systems and probabilistic methods in partial differential equations. 1994 summer seminar on dynamical systems and probabilistic methods for nonlinear waves, June 20-July 1, 1994, MSRI, Berkeley, CA, USA. Providence, RI: American Mathematical Society. Lect. Appl. Math. 31, 31-46 (1996). Reviewer: G.Rein (München) MSC: 35L70 35Q55 35B15 PDFBibTeX XMLCite \textit{W. Craig}, Lect. Appl. Math. 31, 31--46 (1996; Zbl 0849.35075)
Craig, W. Microlocal moments and regularity of solutions of the Schrödinger equation. (Les moments microlocaux et la régularité des solutions de l’équation de Schrödinger.) (French) Zbl 0899.35084 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1995-1996, Exp. No. 20, 22 p. (1996). Reviewer: B.Helffer (Orsay) MSC: 35Q40 81Q05 35A27 35S10 PDFBibTeX XMLCite \textit{W. Craig}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 20, 22 p. (1996; Zbl 0899.35084) Full Text: EuDML
Craig, Walter; Kappeler, Thomas; Strauss, Walter Microlocal dispersive smoothing for the Schrödinger equation. (English) Zbl 0856.35106 Commun. Pure Appl. Math. 48, No. 8, 769-860 (1995). Reviewer: H.Siedentop (Oslo) MSC: 35Q40 35J10 PDFBibTeX XMLCite \textit{W. Craig} et al., Commun. Pure Appl. Math. 48, No. 8, 769--860 (1995; Zbl 0856.35106) Full Text: DOI
Craig, W.; Hunton, B. J. Modulated waves on a vortex filament beneath a fluid surface. (English) Zbl 0827.76009 Appl. Math. Lett. 8, No. 3, 7-11 (1995). MSC: 76B47 35Q35 35Q55 PDFBibTeX XMLCite \textit{W. Craig} and \textit{B. J. Hunton}, Appl. Math. Lett. 8, No. 3, 7--11 (1995; Zbl 0827.76009) Full Text: DOI
Craig, Walter; Worfolk, Patrick A. An integrable normal form for water waves in infinite depth. (English) Zbl 0883.35092 Physica D 84, No. 3-4, 513-531 (1995). MSC: 35Q35 76B15 PDFBibTeX XMLCite \textit{W. Craig} and \textit{P. A. Worfolk}, Physica D 84, No. 3--4, 513--531 (1995; Zbl 0883.35092) Full Text: DOI
Craig, Walter; Worfolk, Patrick A. An integrable normal form for water waves in infinite depth. (English) Zbl 1194.76025 Physica D 84, No. 3-4, 513-531 (1995). MSC: 76B15 37N10 35Q35 PDFBibTeX XMLCite \textit{W. Craig} and \textit{P. A. Worfolk}, Physica D 84, No. 3--4, 513--531 (1995; Zbl 1194.76025) Full Text: DOI
Craig, Walter; Wayne, C. Eugene Nonlinear waves and the \(1:1:2\) resonance. (English) Zbl 0849.35133 Ercolani, N. M. (ed.) et al., Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. New York, NY: Plenum. NATO ASI Ser., Ser. B, Phys. 320, 297-313 (1994). MSC: 35Q58 35B10 37J35 37K10 35L60 PDFBibTeX XMLCite \textit{W. Craig} and \textit{C. E. Wayne}, NATO ASI Ser., Ser. B, Phys. 320, 297--313 (1994; Zbl 0849.35133)
Craig, Walter; Wayne, C. Eugene Newton’s method and periodic solutions of nonlinear wave equations. (English) Zbl 0794.35104 Commun. Pure Appl. Math. 46, No. 11, 1409-1498 (1993). Reviewer: W.Craig (Providence) MSC: 35L70 35L20 35B10 35B32 35Q53 PDFBibTeX XMLCite \textit{W. Craig} and \textit{C. E. Wayne}, Commun. Pure Appl. Math. 46, No. 11, 1409--1498 (1993; Zbl 0794.35104) Full Text: DOI
Craig, W.; Kappeler, T.; Strauss, W. Gain of regularity for equations of KdV type. (English) Zbl 0764.35021 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 9, No. 2, 147-186 (1992). Reviewer: M.-T.Lacroix (Saone) MSC: 35B65 35Q53 35G10 35K25 PDFBibTeX XMLCite \textit{W. Craig} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 9, No. 2, 147--186 (1992; Zbl 0764.35021) Full Text: DOI Numdam EuDML
Craig, W.; Sulem, C.; Sulem, P. L. Nonlinear modulation of gravity waves: A region approach. (English) Zbl 0742.76012 Nonlinearity 5, No. 2, 497-522 (1992). MSC: 76B15 35C10 PDFBibTeX XMLCite \textit{W. Craig} et al., Nonlinearity 5, No. 2, 497--522 (1992; Zbl 0742.76012) Full Text: DOI
Craig, Walter; Wayne, C. Eugene Solutions of nonlinear wave equations and localization theory. (English) Zbl 0947.35503 Schmüdgen, K. (ed.), Mathematical physics X. Proceedings of the 10th congress on mathematical physics, Leipzig, Germany, July 30 - August 9, 1991. Berlin: Springer-Verlag. 256-261 (1992). MSC: 35L70 35B10 35Q58 PDFBibTeX XMLCite \textit{W. Craig} and \textit{C. E. Wayne}, in: Mathematical physics X. Proceedings of the 10th congress on mathematical physics, Leipzig, Germany, July 30 -- August 9, 1991. Berlin: Springer-Verlag. 256--261 (1992; Zbl 0947.35503)
Craig, W.; Kappeler, T.; Strauss, W. Infinite gain of regularity for dispersive evolution equations. (English) Zbl 0767.35076 Microlocal analysis and nonlinear waves, Proc. Workshop, IMA Program Nonlinear Waves, Minneapolis/MN (USA) 1988-89, IMA Vol. Math. Appl. 30, 47-50 (1991). MSC: 35Q53 35B65 PDFBibTeX XMLCite \textit{W. Craig} et al., IMA Vol. Math. Appl. 30, 47--50 (1991; Zbl 0767.35076)
Craig, Walter; Goodman, Jonathan Linear dispersive equations of Airy type. (English) Zbl 0709.35090 J. Differ. Equations 87, No. 1, 38-61 (1990). Reviewer: W.Craig MSC: 35Q53 35B40 35B65 PDFBibTeX XMLCite \textit{W. Craig} and \textit{J. Goodman}, J. Differ. Equations 87, No. 1, 38--61 (1990; Zbl 0709.35090) Full Text: DOI
Craig, Walter; Sternberg, Peter Symmetry of solitary waves. (English) Zbl 0651.76008 Commun. Partial Differ. Equations 13, No. 5, 603-633 (1988). Reviewer: E.Infeld MSC: 76B25 35Q99 PDFBibTeX XMLCite \textit{W. Craig} and \textit{P. Sternberg}, Commun. Partial Differ. Equations 13, No. 5, 603--633 (1988; Zbl 0651.76008) Full Text: DOI
Craig, Walter Nonstrictly hyperbolic nonlinear systems. (English) Zbl 0614.35060 Math. Ann. 277, 213-232 (1987). MSC: 35L70 35A05 35B30 46E35 PDFBibTeX XMLCite \textit{W. Craig}, Math. Ann. 277, 213--232 (1987; Zbl 0614.35060) Full Text: DOI EuDML
Craig, Walter Pure point spectrum for discrete almost periodic Schrödinger operators. (English) Zbl 0525.35076 Commun. Math. Phys. 88, 113-131 (1983). MSC: 35Q99 35J10 35P05 PDFBibTeX XMLCite \textit{W. Craig}, Commun. Math. Phys. 88, 113--131 (1983; Zbl 0525.35076) Full Text: DOI
Craig, Walter A bifurcation theory for periodic solutions of nonlinear dissipative hyperbolic equations. (English) Zbl 0518.35057 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 10, 125-167 (1983). MSC: 35L70 35B32 35B10 PDFBibTeX XMLCite \textit{W. Craig}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 10, 125--167 (1983; Zbl 0518.35057) Full Text: Numdam EuDML
Craig, W.; Simon, B. Subharmonicity of the Lyapunov index. (English) Zbl 0518.35027 Duke Math. J. 50, 551-560 (1983). MSC: 35J10 47F05 35R60 35P15 PDFBibTeX XMLCite \textit{W. Craig} and \textit{B. Simon}, Duke Math. J. 50, 551--560 (1983; Zbl 0518.35027) Full Text: DOI