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Satyanad Kichenassamy's web page


 

Professeur des Universités

Laboratoire de Mathématiques, Université de Reims Champagne-Ardenne, Moulin de la Housse - B.P. 1039,
F-51687 Reims Cedex 2, France

Mon adresse courriel est de la forme: / My e-mail address follows the general format: firstname.lastname@univ-reims.fr
Tél./Ph.: +33(0)3.26.91.83.89

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Journal articles54 documents

  • Satyanad Kichenassamy. Brahmagupta's apodictic discourse. Gaṇita Bhāratī, In press. ⟨hal-03147427⟩
  • Satyanad Kichenassamy. Review of ``Les mathématiques de l'autel védique. Le Baudhāyana Śulbasūtra et son commentaire Śulbadīpikā'' by Jean-Michel Delire. Aestimatio, 2020, 13 (2016-2018), pp.119-140. ⟨hal-02553144⟩
  • Satyanad Kichenassamy. Review of ``The Mathematics of India'' by P. P. Divakaran. Gaṇita Bhāratī, 2020, 42 (2018) (2), pp.181-190. ⟨hal-02553119⟩
  • Satyanad Kichenassamy. Mécanique ondulatoire et C-équivalence. Annales de la Fondation Louis de Broglie, Fondation Louis de Broglie, 2020, 45 (1), pp.99-111. ⟨hal-02977387⟩
  • Satyanad Kichenassamy. Le pāvai nōnpu selon le Tiruppāvai, ou comment les rêves peuvent rencontrer la réalité. Journal Asiatique, Leuven : Peeters Publishers, 2018, 306 (2), pp.249-271. ⟨10.2143/JA.306.2.3285615⟩. ⟨halshs-02102833⟩
  • Satyanad Kichenassamy. Une dialectique de l'être et du néant dans la philosophie tamoule médiévale : Hommage à S. Kichenassamy (1926–2015). Journal Asiatique, Leuven : Peeters Publishers, 2018, 306 (1), pp.85-99. ⟨10.2143/JA.306.1.3284957⟩. ⟨hal-01884277⟩
  • Satyanad Kichenassamy. L'oeuvre de S. Kichenassamy en Physique Théorique. Annales de la Fondation Louis de Broglie, Fondation Louis de Broglie, 2016, 41, pp.131-151. ⟨hal-01729194⟩
  • Satyanad Kichenassamy. Continued proportions and Tartaglia's solution of cubic equations. Historia Mathematica, Elsevier, 2015, 42 (4), pp.407-435. ⟨10.1016/j.hm.2015.03.004⟩. ⟨hal-01262812⟩
  • Satyanad Kichenassamy. Control of blow-up singularities for nonlinear wave equations. Evolution Equations and Control Theory, American Institute of Mathematical Sciences (AIMS), 2013, 2 (4), pp.669-677. ⟨10.3934/eect.2013.2.669⟩. ⟨hal-00948959⟩
  • Satyanad Kichenassamy. Brahmagupta's propositions on the perpendiculars of cyclic quadrilaterals. Historia Mathematica, Elsevier, 2012, 39 (4), pp.387-404. ⟨10.1016/j.hm.2012.07.004⟩. ⟨hal-00826942⟩
  • Satyanad Kichenassamy. L'Analyse Littéraire au service de l'Histoire des Mathématiques : Critique interne de la Géométrie de Brahmagupta. Comptes-rendus des séances de l'Académie des inscriptions et belles-lettres, Paris : Durand : Académie des inscriptions et belles-lettres, 2012, 2012-II, pp.781-796. ⟨halshs-00948968⟩
  • S. Kichenassamy, Satyanad Kichenassamy. Quelques aspects de l'œuvre de Bhārati. Journal Asiatique, Leuven : Peeters Publishers, 2012, 300 (1), pp.167-194. ⟨10.2143/JA.300.1.2186340⟩. ⟨halshs-00827381⟩
  • Satyanad Kichenassamy. L'Analyse Littéraire au service de l'Histoire des Mathématiques : Critique interne de la Géométrie de Brahmagupta. Comptes-rendus des séances de l'Académie des inscriptions et belles-lettres, Paris : Durand : Académie des inscriptions et belles-lettres, 2012, 2012-II (4), pp.781-796. ⟨hal-00948963⟩
  • Satyanad Kichenassamy. Textual analysis of ancient Indian Mathematics. Gaṇita Bhāratī, 2011, 33 (1), pp.15-28. ⟨hal-00827348⟩
  • Satyanad Kichenassamy. Brahmagupta's derivation of the area of a cyclic quadrilateral. Historia Mathematica, Elsevier, 2010, 37 (1), pp.28-61. ⟨10.1016/j.hm.2009.08.004⟩. ⟨halshs-00443604⟩
  • Satyanad Kichenassamy. Improving Hölder's inequality. Houston Journal of Mathematics, 2010, 35 (1), pp.303-312. ⟨hal-00826949⟩
  • Satyanad Kichenassamy. Review of "Mathematics in India" by Kim Plofker. Indo-Iranian Journal, Brill Academic Publishers, 2010, 53 (4), pp.373--381. ⟨10.1163/001972410X517364⟩. ⟨hal-00827407⟩
  • Ali Bentrad, Satyanad Kichenassamy. Hypergeometric functions and singular solutions of wave equations with Lorentz-invariant potential. Communications in Contemporary Mathematics, World Scientific Publishing, 2009, 11 (3), pp.447-458. ⟨10.1142/S0219199709003466⟩. ⟨hal-00401837⟩
  • Satyanad Kichenassamy. The Perona-Malik method as an edge pruning algorithm. Journal of Mathematical Imaging and Vision, Springer Verlag, 2008, 30, pp.209-219. ⟨10.1007/s10851-007-0029-2⟩. ⟨hal-00211715⟩
  • Satyanad Kichenassamy. Soliton stars in the breather limit. Classical and Quantum Gravity, IOP Publishing, 2008, 25, pp.245004. ⟨10.1088/0264-9381/25/24/245004⟩. ⟨hal-00348765⟩
  • Satyanad Kichenassamy. Semi-group theory for the Perona-Malik equation. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2007, 344, pp.225-229. ⟨10.1016/j.crma.2007.01.004⟩. ⟨hal-00130321⟩
  • Satyanad Kichenassamy. Baudhayana's rule for the quadrature of the circle. Historia Mathematica, Elsevier, 2006, 33, pp.149-183. ⟨10.1016/j.hm.2005.05.001⟩. ⟨hal-00070839⟩
  • Satyanad Kichenassamy. Renormalized variational principles and Hardy-type inequalities. Differential and integral equations, Khayyam Publishing, 2006, 19, pp.437-448. ⟨hal-00021052⟩
  • Satyanad Kichenassamy. Boundary behavior in the Loewner-Nirenberg problem. Journal of Functional Analysis, Elsevier, 2005, 222, pp.98-113. ⟨10.1016/j.jfa.2004.06.014⟩. ⟨hal-00004783⟩
  • Satyanad Kichenassamy. Boundary blow-up and degenerate equations. Journal of Functional Analysis, Elsevier, 2004, 215, pp.271-289. ⟨10.1016/j.jfa.2003.10.010⟩. ⟨hal-00002588⟩
  • Satyanad Kichenassamy. On a conjecture of Fefferman and Graham. Advances in Mathematics, Elsevier, 2004, 184, pp.268-288. ⟨10.1016/S0001-8708(03)00145-2⟩. ⟨hal-00002569⟩
  • Satyanad Kichenassamy. Regularite du rayon hyperbolique. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2004, 338, pp.13-18. ⟨10.1016/j.crma.2003.10.037⟩. ⟨hal-00002590⟩
  • Lisette Jager, Satyanad Kichenassamy. Stellar models and irregular singularities. Communications in Contemporary Mathematics, World Scientific Publishing, 2003, 5, pp.719-735. ⟨10.1142/S0219199703001130⟩. ⟨hal-00002593⟩
  • Ali Bentrad, Satyanad Kichenassamy. A linear Fuchsian equation with variable indices. Journal of Differential Equations, Elsevier, 2003, 190, pp.64-80. ⟨10.1016/S0022-0396(03)00029-9⟩. ⟨hal-00002595⟩
  • Gilles Cabart, Satyanad Kichenassamy. Explosion et normes $L^p$ pour l'equation des ondes non lineaire cubique. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2002, 335, pp.903-908. ⟨10.1016/S1631-073X(02)02606-7⟩. ⟨hal-00002660⟩
  • Satyanad Kichenassamy. WTC expansions and non-integrable equations. Studies in Applied Mathematics, Wiley-Blackwell, 1999, 102, pp.1-26. ⟨hal-00002648⟩
  • James Isenberg, Satyanad Kichenassamy. Asymptotic behavior in polarized {\bf T}$^2$-symmetric spacetimes. Journal of Mathematical Physics, American Institute of Physics (AIP), 1999, 40, pp.340-352. ⟨10.1063/1.532775⟩. ⟨hal-00002597⟩
  • Satyanad Kichenassamy, Alan Rendall. Analytic description of singularities in Gowdy spacetimes. Classical and Quantum Gravity, IOP Publishing, 1998, 15, pp.1339-1355. ⟨10.1088/0264-9381/15/5/016⟩. ⟨hal-00002598⟩
  • Satyanad Kichenassamy. Instability of pole singularities for the Chazy equation. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 1998, 31, pp.2675-2690. ⟨10.1088/0305-4470/31/11/015⟩. ⟨hal-00002646⟩
  • Satyanad Kichenassamy. Existence of solitary waves for water-wave models. Nonlinearity, IOP Publishing, 1997, 10, pp.133-151. ⟨10.1088/0951-7715/10/1/009⟩. ⟨hal-00002652⟩
  • Satyanad Kichenassamy, Arun Kumar, Peter Olver, Allen Tannenbaum, Anthony Yezzi. A geometric snake model for segmentation of medical imagery. IEEE Transactions on Medical Imaging, Institute of Electrical and Electronics Engineers, 1997, 16, pp.199-209. ⟨hal-00002725⟩
  • Satyanad Kichenassamy. The Perona-Malik paradox. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 1997, 57, pp.1328-1342. ⟨10.1137/S003613999529558X⟩. ⟨hal-00002600⟩
  • Satyanad Kichenassamy. Applications of the division theorem in $H^s$. Journal of Dynamics and Differential Equations, Springer Verlag, 1996, 8, pp.407-425. ⟨hal-00002656⟩
  • Satyanad Kichenassamy. Fuchsian equations in Sobolev spaces and blow-up. Journal of Differential Equations, Elsevier, 1996, 125, pp.299-327. ⟨10.1006/jdeq.1996.0033⟩. ⟨hal-00002559⟩
  • Satyanad Kichenassamy. The blow-up problem for exponential nonlinearities. Communications in Partial Differential Equations, Taylor & Francis, 1996, 21 (1-2), pp.125-162. ⟨10.1080/03605309608821177⟩. ⟨hal-00002647⟩
  • Satyanad Kichenassamy, Arun Kumar, Peter Olver, Allen Tannenbaum, Anthony Yezzi. Conformal curvature flows: From phase transitions to active vision. Archive for Rational Mechanics and Analysis, Springer Verlag, 1996, 134, pp.275-301. ⟨hal-00002650⟩
  • Satyanad Kichenassamy, Gopala Krishna Srinivasan. The structure of WTC expansions and applications. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 1995, 28, pp.1977-2004. ⟨10.1088/0305-4470/28/7/019⟩. ⟨hal-00002653⟩
  • Satyanad Kichenassamy. The prolongation formula for tensor fields. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 1994, 27, pp.7857-7874. ⟨10.1088/0305-4470/27/23/029⟩. ⟨hal-00002649⟩
  • Satyanad Kichenassamy, Walter Littman. Blow-up surfaces for nonlinear wave equations, Part I. Communications in Partial Differential Equations, Taylor & Francis, 1993, 18 (3-4), pp.431-452. ⟨10.1080/03605309308820936⟩. ⟨hal-00002668⟩
  • Satyanad Kichenassamy, Walter Littman. Blow-up surfaces for nonlinear wave equations, Part II. Communications in Partial Differential Equations, Taylor & Francis, 1993, 18 (11), pp.1869-1899. ⟨10.1080/03605309308820997⟩. ⟨hal-00002669⟩
  • Satyanad Kichenassamy, Peter Olver. Existence and non-existence of solitary wave solutions to higher order model evolution equations. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 1992, 23, pp.1141-1166. ⟨hal-00002654⟩
  • Satyanad Kichenassamy. Breather solutions of the nonlinear wave equation. Communications on Pure and Applied Mathematics, Wiley, 1991, 44 (7), pp.789-818. ⟨10.1002/cpa.3160440704⟩. ⟨hal-00002570⟩
  • Satyanad Kichenassamy, Joel Smoller. On the existence of radial solutions of quasilinear elliptic equations. Nonlinearity, IOP Publishing, 1990, 3, pp.677-694. ⟨10.1088/0951-7715/3/3/008⟩. ⟨hal-00002659⟩
  • Satyanad Kichenassamy. Local index of potential operators of monotone type. Houston Journal of Mathematics, 1990, 16, pp.139-149. ⟨hal-00002657⟩
  • Satyanad Kichenassamy. Compactness theorems for differential forms. Communications on Pure and Applied Mathematics, Wiley, 1989, 42, pp.47-54. ⟨hal-00002571⟩
  • Satyanad Kichenassamy. Quasilinear problems with singularities. manuscripta mathematica, Springer Verlag, 1987, 57, pp.281-313. ⟨hal-00002655⟩
  • Satyanad Kichenassamy, Laurent Véron. Singular solutions of the p-Laplace equation. Mathematische Annalen, Springer Verlag, 1986, 275, pp.599-615. ⟨hal-00002658⟩
  • Satyanad Kichenassamy, Joel Smoller. Solutions positives des équations quasilinéaires elliptiques. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1985, 300, pp.589-591. ⟨hal-00004946⟩
  • Satyanad Kichenassamy, Laurent Véron. Singularités isolées de l'équation -div (|\nabla u|^{p-2}\nabla u) = 0. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1985, 301, pp.149-151. ⟨hal-00004947⟩

Conference papers12 documents

  • Satyanad Kichenassamy. On the impact of History on modern research and teaching. International Web-Conference on History of Mathematics, Indian Society for History of Mathematics, Dec 2020, Delhi, India. ⟨hal-03088811⟩
  • Satyanad Kichenassamy. Apodictic discourse in ancient and modern Mathematics. International Workshop “Srinivasa Ramanujan: The Man Beyond Infinity”, Dec 2020, Dharamshala, India. ⟨hal-03088818⟩
  • Satyanad Kichenassamy. The mathematical analysis of the Perona-Malik equation and its practical impact. Mathematics and Image Analysis 2006, Sep 2006, Paris, France. ⟨hal-00123906⟩
  • Satyanad Kichenassamy. Recent progress on boundary blow-up. Elliptic and Parabolic Problems : A Special Tribute to the Work of Haïm Brezis, 2005, Italy. pp.329-341. ⟨hal-00007702⟩
  • Satyanad Kichenassamy. La compréhension interlinguistique en Inde. L'avenir du Patrimoine Linguistique et Culturel de l'Europe, 2003, Reims, France. pp.45-49. ⟨hal-00004918⟩
  • Satyanad Kichenassamy. Stability of blow-up patterns for nonlinear wave equations. Nonlinear PDEs, Dynamics and Continuum Physics (AMS-IMS-SIAM Joint Summer Research Conference at Mount Holyoke College), 1998, South Hadley, MA, United States. pp.139-162. ⟨hal-00002663⟩
  • Satyanad Kichenassamy. Nonlinear diffusion and hyperbolic smoothing for edge enhancement. 1996, pp.119-124. ⟨hal-00002666⟩
  • Satyanad Kichenassamy, Arun Kumar, Peter Olver, Allen Tannenbaum, Anthony Yezzi. Gradient flows and geometric active contour models. 1995, pp.810-815. ⟨hal-00002665⟩
  • Satyanad Kichenassamy. Symmetrization on the sphere and applications. Nonlinear Partial Differential Equations and Applications, Collège de France Seminar vol. X (1987-88), 1991, Paris, France. pp.272-283. ⟨hal-00004949⟩
  • Satyanad Kichenassamy. Breathers and the sine-Gordon equation. Inverse Scattering and Applications (AMS-IMS-SIAM Joint Summer Research Conference), 1990, Amherst, MA, United States. pp.73-76. ⟨hal-00002664⟩
  • Haïm Brezis, Satyanad Kichenassamy. Energy estimates for surface-valued maps with prescribed singularities. 1989, pp.92-98. ⟨hal-00002667⟩
  • Satyanad Kichenassamy. Périmètre sur les variétés et applications aux équations aux dérivées partielles. Séminaire E.D.P. 1986-1987, Ecole Polytechnique., 1987, Palaiseau, France. ⟨hal-00004948⟩

Books2 documents

  • Satyanad Kichenassamy. Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics. Birkhäuser, pp.xvi + 296, 2007. ⟨hal-00172336⟩
  • Satyanad Kichenassamy. Nonlinear Wave Equations. Marcel Dekker, pp.xiii + 276, 1996. ⟨hal-00002651⟩

Book sections4 documents

  • Satyanad Kichenassamy. L’emploi métonymique de l’arbre kallāl dans la philosophie médiévale en pays tamoul. P.-S. Filliozat et M. Zink. L'Arbre en Asie, De Boccard / Académie des Inscriptions et Belles-Lettres, pp.273-295, 2018, 978-2-87754-372-9. ⟨hal-01884286⟩
  • Satyanad Kichenassamy. Le ``triquadrilatère'' de Brahmagupta : Analyse d'un texte mathématique. Patrick Perrin. Comptes Rendus du Séminaire d'Histoire des Mathématiques, 1, IREM de Reims, pp.47-66, 2015, 978-2-910076-13-9. ⟨hal-01262839⟩
  • Satyanad Kichenassamy. Symmetric hyperbolic systems and shock waves. J.-P. Françoise, G. L. Naber, Tsou S. T. Encyclopedia of Mathematical Physics, volume 5, Elsevier, pp.160-166, 2006. ⟨hal-00021606⟩
  • Satyanad Kichenassamy. Schauder-type estimates and applications. M. Chipot and P. Quittner. Handbook of Differential Equations: Stationary Partial Differential Equations, 3, Elsevier, pp.401-464, 2006, ⟨10.1016/S1874-5733(06)80009-4⟩. ⟨hal-00123898⟩

Preprints, Working Papers, ...1 document

  • Satyanad Kichenassamy. MATHEMATICAL MODELS OF CONFINEMENT AND DECONFINEMENT. 2020. ⟨hal-02551210v2⟩