Edit Profile (opens in new tab) Nakamura, Gen Compute Distance To: Compute Author ID: nakamura.gen Published as: Nakamura, Gen; Nakamura, G. Homepage: http://people.math.inha.ac.kr/~nakamura External Links: ResearchGate · dblp Documents Indexed: 231 Publications since 1976, including 1 Book 1 Contribution as Editor Co-Authors: 109 Co-Authors with 223 Joint Publications 3,010 Co-Co-Authors all top 5 Co-Authors 7 single-authored 67 Fan, Jishan 25 Li, Fucai 16 Zhou, Yong 15 Wang, Haibing 14 Ikehata, Masaru 14 Lin, Ching-Lung 14 Tanuma, Kazumi 14 Uhlmann, Gunther Alberto 13 Wang, Jenn-Nan 12 Sini, Mourad 10 Cheng, Jin 9 Jiang, Yu 9 Liu, Jijun 8 Tang, Tong 6 Jing, Lulu 6 Kang, Hyeonbae 5 Daido, Yuki 5 Honda, Naofumi 5 Jiang, Song 5 Kim, Kyoungsun 5 Potthast, Roland W. E. 5 Shirota, Kenji 5 Wang, Shengzhang 4 Amano, Kazuo 4 Makrakis, George N. 4 Saitoh, Saburou 4 Sasayama, Satoshi 3 Cârstea, Cătălin Ion 3 de Hoop, Maarten V. 3 Hayat, Tasawar 3 Isakov, Victor M. 3 Man, Chi-Sing 3 Morassi, Antonino 3 Nagayasu, Sei 3 Shibata, Yoshihiro 3 Sun, Jianzhu 3 Syarif, Admi 3 Watanabe, Michiyuki 2 Akamatsu, Masayuki 2 Al-saedi, Ahmed Eid Salem 2 Di Cristo, Michele 2 Eom, Junyong 2 Fujiwara, Hiroshi 2 Gao, Hongjun 2 Heck, Horst 2 Kawai, Takahiro 2 Lin, Yi-Hsuan 2 Machida, Manabu 2 Maeda, Yoshiaki 2 Siltanen, Samuli 2 Sun, Ziqi 2 Vashisth, Manmohan 2 Wang, Yanbo 2 Yamamoto, Masahiro 2 Zhai, Jian 1 Alzahrani, Faris Saeed 1 Ammari, Habib M. 1 Cakoni, Fioralba 1 Choi, Cheok 1 Eller, Matthias M. 1 Fukumoto, Yasuhide 1 Gawinecki, Jerzy August 1 Hamada, Yûsaku 1 Hu, Yuxi 1 Huang, Mojia 1 Huang, Shuxiang 1 Ivanov, Sergei A. 1 Ji, Yong-Gwan 1 Jia, Xuanji 1 Jimbo, Shuichi 1 Jin, Liangbing 1 Kabanikhin, Sergeĭ Igorevich 1 Kaltenbacher, Barbara 1 Kawashita, Mishio 1 Kobayashi, Takao 1 Kuan, Rulin 1 Li, Tingyue 1 Lim, Mikyoung 1 Lin, Liren 1 Malaikah, Honaida 1 McLaughlin, Joyce Rogers 1 Monaquel, Satha 1 Nagayama, Masaharu 1 Nakagawa, Junichi 1 Nishimura, Goro 1 Okamoto, Mamoru 1 Oksanen, Lauri 1 Oliva, Marcos 1 Onishi, Kazuei 1 Ota, Yasushi 1 Rafa, Józef 1 Ronkanen, Päivi 1 Sasai, Takao 1 Seo, Jin Keun 1 Sikorska, Beata 1 Sleeman, Brian David 1 Somersalo, Erkki 1 Steinberg, Stanly L. 1 Sun, Chunlong 1 Tan, Zhong ...and 11 more Co-Authors all top 5 Serials 27 Inverse Problems 9 Journal of Inverse and Ill-Posed Problems 8 Applicable Analysis 8 SIAM Journal on Applied Mathematics 7 Proceedings of the Japan Academy. Series A 6 Mathematical Methods in the Applied Sciences 6 Applied Mathematics Letters 6 SIAM Journal on Mathematical Analysis 5 Journal of Differential Equations 5 Communications in Partial Differential Equations 5 Inverse Problems and Imaging 4 IMA Journal of Applied Mathematics 4 Journal of Mathematical Physics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Transactions of the American Mathematical Society 3 Mathematische Annalen 3 Journal of Elasticity 2 Journal of Mathematical Analysis and Applications 2 American Journal of Mathematics 2 Annales Polonici Mathematici 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Bulletin of the Korean Mathematical Society 2 Journal of Computational Mathematics 2 European Journal of Applied Mathematics 2 Differential and Integral Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Mathematical Fluid Mechanics 2 Communications of the Korean Mathematical Society 2 Communications on Pure and Applied Analysis 2 Communications in Mathematical Sciences 2 Analysis and Applications (Singapore) 2 Boundary Value Problems 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Computing 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematics of Kyoto University 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Complex Variables. Theory and Application 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Japan Journal of Applied Mathematics 1 Sūgaku 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 International Journal of Computer Mathematics 1 Journal of Mathematical Sciences. University of Tokyo 1 Methods and Applications of Analysis 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Taiwanese Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 Analysis in Theory and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Cubo 1 Dynamics of Partial Differential Equations 1 Inverse Problems in Science and Engineering 1 Proceedings of the Japan Academy 1 Chapman & Hall/CRC Research Notes in Mathematics 1 Frontiers of Mathematics in China 1 Computational & Mathematical Methods in Medicine 1 Kinetic and Related Models 1 Science China. Mathematics 1 Journal of Shanghai Normal University. Natural Sciences 1 Results in Applied Mathematics all top 5 Fields 212 Partial differential equations (35-XX) 63 Fluid mechanics (76-XX) 48 Mechanics of deformable solids (74-XX) 26 Numerical analysis (65-XX) 16 Optics, electromagnetic theory (78-XX) 8 Biology and other natural sciences (92-XX) 6 Geophysics (86-XX) 5 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Differential geometry (53-XX) 4 Statistics (62-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Potential theory (31-XX) 3 Integral equations (45-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 180 Publications have been cited 1,585 times in 1,032 Documents Cited by ▼ Year ▼ Vanishing shear viscosity limit in the magnetohydrodynamic equations. Zbl 1190.76172Fan, Jishan; Jiang, Song; Nakamura, Gen 78 2007 Global Cauchy problem of 2D generalized MHD equations. Zbl 1297.35182Fan, Jishan; Malaikah, Honaida; Monaquel, Satha; Nakamura, Gen; Zhou, Yong 78 2014 Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations. Zbl 1270.35339Fan, Jishan; Jiang, Song; Nakamura, Gen; Zhou, Yong 74 2011 Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field. Zbl 0843.35134Nakamura, Gen; Sun, Ziqi; Uhlmann, Gunther 55 1995 On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects. Zbl 1321.35087Fan, Jishan; Jia, Xuanji; Nakamura, Gen; Zhou, Yong 49 2015 On strong solutions to the compressible Hall-magnetohydrodynamic system. Zbl 1304.35539Fan, Jishan; Alsaedi, Ahmed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong 45 2015 Global uniqueness for an inverse boundary problem arising in elasticity. Zbl 0814.35147Nakamura, Gen; Uhlmann, Gunther 43 1994 Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion. Zbl 1089.74576Ammari, Habib; Kang, Hyeonbae; Nakamura, Gen; Tanuma, Kazumi 43 2002 Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems. Zbl 1038.35159Eller, M.; Isakov, V.; Nakamura, G.; Tataru, D. 42 2002 Well-posedness for the axisymmetric incompressible viscous Hall-magnetohydrodynamic equations. Zbl 1315.35164Fan, Jishan; Huang, Shuxiang; Nakamura, Gen 36 2013 Regularity criteria for the incompressible Hall-MHD system. Zbl 1333.35191Fan, Jishan; Fukumoto, Yasuhide; Nakamura, Gen; Zhou, Yong 35 2015 Regularity criteria for the incompressible Hall-magnetohydrodynamic equations. Zbl 1297.35067Fan, Jishan; Li, Fucai; Nakamura, Gen 34 2014 Identification of Lamé parameters by boundary measurements. Zbl 0803.35164Nakamura, Gen; Uhlmann, Gunther 31 1993 Reconstruction of the shape and surface impedance from acoustic scattering data for an arbitrary cylinder. Zbl 1127.35080Liu, J. J.; Nakamura, G.; Sini, M. 25 2007 Inverse problems at the boundary for an elastic medium. Zbl 0840.35122Nakamura, Gen; Uhlmann, Gunther 24 1995 Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map. Zbl 1043.35146Kang, Hyeonbae; Nakamura, Gen 21 2002 Regularity criteria for the three-dimensional magnetohydrodynamic equations. Zbl 1291.35175Fan, Jishan; Li, Fucai; Nakamura, Gen; Tan, Zhong 21 2014 A formula for the fundamental solution of anisotropic elasticity. Zbl 0885.73005Nakamura, G.; Tanuma, K. 17 1997 Global Cauchy problem for a 2D magnetic Bénard problem with zero thermal conductivity. Zbl 1355.35155Zhou, Yong; Fan, Jishan; Nakamura, Gen 17 2013 Regularity criteria for the generalized magnetohydrodynamic equations and the quasi-geostrophic equations. Zbl 1236.35120Fan, Jishan; Gao, Hongjun; Nakamura, Gen 15 2011 Reconstruction for the coefficients of a quasilinear elliptic partial differential equation. Zbl 1423.35437Cârstea, Cătălin I.; Nakamura, Gen; Vashisth, Manmohan 15 2019 Layer stripping for a transversely isotropic elastic medium. Zbl 0935.35176Nakamura, Gen; Tanuma, Kazumi; Uhlmann, Gunther 14 1999 Stability of weak solutions to equations of magnetohydrodynamics with Lebesgue initial data. Zbl 1230.35020Fan, Jishan; Jiang, Song; Nakamura, Gen 14 2011 Local determination of conductivity at the boundary from the Dirichlet-to-Neumann map. Zbl 0981.35100Nakamura, G.; Tanuma, K. 13 2001 Obstacle and boundary determination from scattering data. Zbl 1185.35331Nakamura, Gen; Sini, Mourad 13 2007 Well-posedness of initial-boundary value problems for piezoelectric equations. Zbl 1080.74025Akamatsu, Masayuki; Nakamura, Gen 13 2002 On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order. Zbl 0652.35077Shibata, Yoshihiro; Nakamura, Gen 13 1989 Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. Zbl 1346.65029Nakamura, Gen; Potthast, Roland 13 2015 Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems. Zbl 1067.35151Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan 12 2005 Identification of a non-convex obstacle for acoustical scattering. Zbl 1126.35103Nakamura, G.; Yoshida, K. 11 2007 Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients. Zbl 1202.35325Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan 11 2010 The direct electromagnetic scattering problem from an imperfectly conducting cylinder at oblique incidence. Zbl 1268.78010Nakamura, Gen; Wang, Haibing 11 2013 Inverse viscosity problem for the Navier-Stokes equation. Zbl 1186.35240Fan, Jishan; di Cristo, Michele; Jiang, Yu; Nakamura, Gen 11 2010 Quantitative strong unique continuation for the Lamé system with less regular coefficients. Zbl 1291.35390Lin, C.-L.; Nakamura, G.; Uhlmann, G.; Wang, J.-N. 11 2011 A probe method for the inverse boundary value problem of non-stationary heat equations. Zbl 1126.35092Daido, Yuki; Kang, Hyeonbae; Nakamura, Gen 10 2007 Numerical differentiation for the second order derivatives of functions of two variables. Zbl 1133.65011Nakamura, Gen; Wang, Shengzhang; Wang, Yanbo 10 2008 A regularity criterion for the 3D generalized MHD equations. Zbl 1308.35205Fan, Jishan; Alsaedi, Ahmed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong 10 2014 Identification of the shape of the inclusion in the anisotropic elastic body. Zbl 1107.74311Ikehata, Masaru; Nakamura, Gen; Tanuma, Kazumi 10 1999 Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems. Zbl 1100.35024Nakamura, Gen; Wang, Jenn-Nan 10 2006 Local smooth isometric embeddings of low dimensional Riemannian manifolds into Euclidean spaces. Zbl 0682.58046Nakamura, Gen; Maeda, Yoshiaki 10 1989 Global strong solution to the 2D density-dependent liquid crystal flows with vacuum. Zbl 1292.35201Fan, Jishan; Li, Fucai; Nakamura, Gen 10 2014 Linear sampling method for the heat equation with inclusions. Zbl 1290.35332Nakamura, Gen; Wang, Haibing 10 2013 Approximate steady state models for magnetic resonance elastography. Zbl 1234.35311Jiang, Yu; Fujiwara, Hiroshi; Nakamura, Gen 10 2011 Inversion analysis for magnetic resonance elastography. Zbl 1132.35356Nakamura, Gen; Jiang, Yu; Nagayasu, Sei; Cheng, Jin 9 2008 Global regularity for the 2D liquid crystal model with mixed partial viscosity. Zbl 1314.35081Fan, Jishan; Alzahrani, Faris Saeed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong 9 2015 Parametrix of certain weakly hyperbolic operators. Zbl 0445.35083Nakamura, Gen; Uryu, Hitoshi 9 1980 An inverse dynamical problem for connected beams. Zbl 1077.74022Morassi, A.; Nakamura, G.; Sini, M. 9 2005 Unique continuation property for the anomalous diffusion and its application. Zbl 1307.35312Cheng, Jin; Lin, Ching-Lung; Nakamura, Gen 9 2013 The integral equation method for electromagnetic scattering problem at oblique incidence. Zbl 1241.78016Wang, Haibing; Nakamura, Gen 9 2012 Uniform well-posedness and singular limits of the isentropic Navier-Stokes-Maxwell system in a bounded domain. Zbl 1327.76167Fan, Jishan; Li, Fucai; Nakamura, Gen 9 2015 A nonuniqueness theorem for an inverse boundary value problem in elasticity. Zbl 0849.35149Nakamura, Gen; Tanuma, Kazumi 8 1996 Identification of Lamé coefficients from boundary observations. Zbl 0737.35139Akamatsu, Masayuki; Nakamura, Gen; Steinberg, Stanley 8 1991 Unique continuation for an elasticity system with residual stress and its applications. Zbl 1126.35306Nakamura, Gen; Wang, Jenn-Nan 8 2003 Uniqueness in inverse problems for the isotropic Lamé system. Zbl 0924.73069Ikehata, Masaru; Nakamura, Gen; Yamamoto, Masahiro 8 1998 Uniqueness of identifying the convection term. Zbl 1101.35398Cheng, Jin; Nakamura, Gen; Somersalo, Erkki 8 2001 Linear sampling method for identifying cavities in a heat conductor. Zbl 1247.35202Heck, Horst; Nakamura, Gen; Wang, Haibing 8 2012 Inverse scattering for obliquely incident polarized electromagnetic waves. Zbl 1260.35226Nakamura, Gen; Wang, Haibing 8 2012 Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition. Zbl 1282.35276Jin, Liangbing; Fan, Jishan; Nakamura, Gen; Zhou, Yong 8 2012 Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators. Zbl 1263.35082Honda, N.; Nakamura, G.; Sini, M. 8 2013 Reconstruction of an unknown cavity with Robin boundary condition inside a heat conductor. Zbl 1330.35541Nakamura, Gen; Wang, Haibing 8 2015 Stability for the inverse potential problem by finite measurements on the boundary. Zbl 0980.35173Cheng, J.; Nakamura, G. 7 2001 Reconstruction of an impedance cylinder at oblique incidence from the far-field data. Zbl 1418.35383Nakamura, Gen; Wang, Haibing 7 2015 Uniqueness for an inverse boundary value problem for Dirac operators. Zbl 0952.35152Nakamura, Gen; Tsuchida, Tetsuo 7 2000 Slicing of a three-dimensional object from boundary measurements. Zbl 0943.35104Ikehata, Masaru; Nakamura, Gen 7 1999 Reconstruction of an unknown inclusion by thermography. Zbl 1215.35169Isakov, Victor; Kim, Kyoungsun; Nakamura, Gen 7 2010 A blow-up criterion to the 2D full compressible magnetohydrodynamic equations. Zbl 1317.35009Fan, Jishan; Li, Fucai; Nakamura, Gen 7 2015 Conditional stability for a single interior measurement. Zbl 1365.35225Honda, Naofumi; McLaughlin, Joyce; Nakamura, Gen 7 2014 The numerical realization of the probe method for the inverse scattering problems from the near-field data. Zbl 1071.35121Cheng, J.; Liu, J. J.; Nakamura, G. 7 2005 Branching of singularities for degenerate hyperbolic operators. Zbl 0555.35077Amano, Kazuo; Nakamura, Gen 7 1984 Unique continuation property for anomalous slow diffusion equation. Zbl 1350.35048Lin, Ching-Lung; Nakamura, Gen 7 2016 Branching of singularities for degenerate hyperbolic operators and Stokes phenomena. II. Zbl 0495.35052Amano, Kazuo; Nakamura, Gen 6 1981 A layer stripping algorithm in elastic impedance tomography. Zbl 0883.35132Nakamura, Gen; Uhlmann, Gunther 6 1997 Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test. Zbl 1110.35107Nakamura, Gen; Potthast, Roland; Sini, Mourad 6 2006 Local isometric embedding problem of Riemannian 3-manifold into \(R^ 6\). Zbl 0622.53015Nakamura, Gen; Maeda, Yoshiaki 6 1986 Inverse boundary value problem for ocean acoustics using point sources. Zbl 1044.86008Ikehata, M.; Makrakis, G. N.; Nakamura, G. 6 2004 Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. Zbl 1356.76428Fan, Jishan; Li, Fucai; Nakamura, Gen 6 2016 Inverse problems for the Boussinesq system. Zbl 1173.35728Fan, Jishan; Jiang, Yu; Nakamura, Gen 6 2009 Well-posedness of an inverse problem of Navier-Stokes equations with the final overdetermination. Zbl 1181.35329Fan, J.; Nakamura, G. 6 2009 Local well-posedness for a compressible non-isothermal model for nematic liquid crystals. Zbl 1391.76043Fan, Jishan; Li, Fucai; Nakamura, Gen 6 2018 On uniqueness of an inverse problem in electromagnetic obstacle scattering for an impedance cylinder. Zbl 1241.78026Nakamura, Gen; Sleeman, Brian D.; Wang, Haibing 6 2012 Regularity criteria for the incompressible magnetohydrodynamic equations with partial viscosity. Zbl 1381.35137Fan, Jishan; Li, Fucai; Nakamura, Gen 6 2016 Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method. Zbl 1372.35368Nakamura, Gen; Wang, Haibing 6 2017 Non-relativistic and low Mach number limits of two \(P1\) approximation model arising in radiation hydrodynamics. Zbl 1353.35031Fan, Jishan; Li, Fucai; Nakamura, Gen 6 2016 The singularities of solutions of the Cauchy problems for systems whose characteristic roots are non-uniform multiple. Zbl 0372.35052Nakamura, Gen 5 1977 On the identification of a coefficient function in a nonlinear wave equation. Zbl 1172.35311Nakamura, Gen; Watanabe, Michiyuki; Kaltenbacher, Barbara 5 2009 Recovery of multiple obstacles by probe method. Zbl 1170.35556Cheng, Jin; Liu, Jijun; Nakamura, Gen; Wang, Shengzhang 5 2009 Decaying and nondecaying properties of the local energy of an elastic wave outside an obstacle. Zbl 0696.73017Ikehata, Masaru; Nakamura, Gen 5 1989 On logarithmically improved regularity criteria for the Navier-Stokes equations in \(\mathbb R^{n}\). Zbl 1219.35169Fan, Jishan; Jiang, Song; Nakamura, Gen 5 2011 Blow-up criteria of smooth solutions to the 3D Boussinesq system with zero viscosity in a bounded domain. Zbl 1243.35137Fan, Jishan; Nakamura, Gen; Wang, Haibing 5 2012 Boundary determination of the Lamé moduli for the isotropic elasticity system. Zbl 1394.74045Lin, Yi-Hsuan; Nakamura, Gen 5 2017 Global strong solution to the density-dependent 2-D liquid crystal flows. Zbl 1328.76008Zhou, Yong; Fan, Jishan; Nakamura, Gen 5 2013 Quantitative uniqueness for second order elliptic operators with strongly singular coefficients. Zbl 1219.35058Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan 5 2011 The no-response approach and its relation to non-iterative methods for the inverse scattering. Zbl 1162.35340Honda, Naofumi; Nakamura, Gen; Potthast, Roland; Sini, Mourad 4 2008 On the singularities of the solution of the Cauchy problem for the operator with non uniform multiple characteristics. Zbl 0373.35010Hamada, Yusaku; Nakamura, Gen 4 1977 Dispersion of Rayleigh waves in vertically-inhomogeneous prestressed elastic media. Zbl 1309.35164Man, Chi-Sing; Nakamura, Gen; Tanuma, Kazumi; Wang, Shengzhang 4 2015 An inverse boundary value problem for a nonlinear wave equation. Zbl 1157.35123Nakamura, Gen; Watanabe, Michiyuki 4 2008 Formulas for reconstructing conductivity and its normal derivative at the boundary from the localized Dirichlet to Neumann map. Zbl 1038.35167Nakamura, Gen; Tanuma, Kazumi 4 2003 Recovery of the shape of an obstacle and the boundary impedance from the far-field pattern. Zbl 1062.35167Cheng, Jin; Liu, Jijun; Nakamura, Gen 4 2003 Unique continuation property for elliptic systems and crack determination in anisotropic elasticity. Zbl 1129.35315Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan 4 2004 Blow-up criteria for 3D nematic liquid crystal models in a bounded domain. Zbl 1294.35061Fan, Jishan; Nakamura, Gen; Zhou, Yong 4 2013 Inverse initial boundary value problem for a non-linear hyperbolic partial differential equation. Zbl 1457.58016Nakamura, Gen; Vashisth, Manmohan; Watanabe, Michiyuki 1 2021 Uniform regularity for a two-phase model with magneto field and a related system. Zbl 1459.76155Fan, Jishan; Nakamura, Gen; Tang, Tong 2 2020 Qualitative analysis of an integrated chemotaxis-fluid model: global existence and extensibility criterion. Zbl 1461.35052Fan, Jishan; Jing, Lulu; Nakamura, Gen; Zhao, Kun 2 2020 Regularity criteria for a density-dependent incompressible Ginzburg-Landau-Navier-Stokes system in a bounded domain. Zbl 1446.82090Fan, Jishan; Jing, Lulu; Nakamura, Gen; Tang, Tong 1 2020 A weak solution for a point mass camphor motion. Zbl 1474.35423Fan, Jishan; Nagayama, Masaharu; Nakamura, Gen; Okamoto, Mamoru 1 2020 Global small solutions of the compressible nematic liquid crystal flow in a bounded domain. Zbl 1458.35330Fan, Jishan; Sun, Jianzhu; Tang, Tong; Nakamura, Gen 1 2020 Global solutions of the 3D compressible MHD system in a bounded domain. Zbl 1434.35093Fan, Jishan; Jing, Lulu; Nakamura, Gen; Tang, Tong 1 2020 Local solvability of an inverse problem to the Navier-Stokes equation with memory term. Zbl 1469.76077Jiang, Yu; Fan, Jishan; Nagayasu, Sei; Nakamura, Gen 1 2020 Reconstruction for the coefficients of a quasilinear elliptic partial differential equation. Zbl 1423.35437Cârstea, Cătălin I.; Nakamura, Gen; Vashisth, Manmohan 15 2019 Unique continuation property for multi-terms time fractional diffusion equations. Zbl 1420.35054Lin, Ching-Lung; Nakamura, Gen 4 2019 Unique recovery of piecewise analytic density and stiffness tensor from the elastic-wave Dirichlet-to-Neumann map. Zbl 1437.35701de Hoop, Maarten V.; Nakamura, Gen; Zhai, Jian 4 2019 Solvability of interior transmission problem for the diffusion equation by constructing its Green function. Zbl 1425.35236Nakamura, Gen; Wang, Haibing 3 2019 Convergence of Levenberg-Marquardt method for the inverse problem with an interior measurement. Zbl 1416.65418Jiang, Yu; Nakamura, Gen 3 2019 Strong unique continuation for two-dimensional anisotropic elliptic systems. Zbl 1483.35062Kuan, Rulin; Nakamura, Gen; Sasayama, Satoshi 1 2019 Completeness of representation of solutions for stationary homogeneous isotropic elastic/viscoelastic systems. Zbl 1415.74029Eom, Junyong; Nakamura, Gen 1 2019 Local well-posedness for a compressible non-isothermal model for nematic liquid crystals. Zbl 1391.76043Fan, Jishan; Li, Fucai; Nakamura, Gen 6 2018 Uniqueness in the inverse boundary value problem for piecewise homogeneous anisotropic elasticity. Zbl 1393.35036Cârstea, Cătălin I.; Honda, Naofumi; Nakamura, Gen 4 2018 A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity. Zbl 1395.76104Fan, Jishan; Li, Fucai; Nakamura, Gen 3 2018 Uniform global solutions of the 3D compressible MHD system in a bounded domain. Zbl 1442.76140Fan, Jishan; Sun, Jianzhu; Tang, Tong; Nakamura, Gen 1 2018 Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. II: Global existence case. Zbl 1444.76132Fan, Jishan; Li, Fucai; Nakamura, Gen 1 2018 Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method. Zbl 1372.35368Nakamura, Gen; Wang, Haibing 6 2017 Boundary determination of the Lamé moduli for the isotropic elasticity system. Zbl 1394.74045Lin, Yi-Hsuan; Nakamura, Gen 5 2017 Local well-posedness and blow-up criterion for a compressible Navier-Stokes-Fourier-\(P1\) approximate model arising in radiation hydrodynamics. Zbl 1387.35451Fan, Jishan; Li, Fucai; Nakamura, Gen 3 2017 Low Mach number limit of the full compressible Hall-MHD system. Zbl 1364.76237Fan, Jishan; Li, Fucai; Nakamura, Gen 3 2017 Reconstruction of Lamé moduli and density at the boundary enabling directional elastic wavefield decomposition. Zbl 1371.35358de Hoop, Maarten V.; Nakamura, Gen; Zhai, Jian 2 2017 A regularity criterion for the \(3D\) full compressible Navier-Stokes-Maxwell system in a bounded domain. Zbl 1373.76341Fan, Jishan; Li, Fucai; Nakamura, Gen 1 2017 Recovering the boundary corrosion from electrical potential distribution using partial boundary data. Zbl 1372.35080Liu, Jijun; Nakamura, Gen 1 2017 Unique continuation property for anomalous slow diffusion equation. Zbl 1350.35048Lin, Ching-Lung; Nakamura, Gen 7 2016 Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. Zbl 1356.76428Fan, Jishan; Li, Fucai; Nakamura, Gen 6 2016 Regularity criteria for the incompressible magnetohydrodynamic equations with partial viscosity. Zbl 1381.35137Fan, Jishan; Li, Fucai; Nakamura, Gen 6 2016 Non-relativistic and low Mach number limits of two \(P1\) approximation model arising in radiation hydrodynamics. Zbl 1353.35031Fan, Jishan; Li, Fucai; Nakamura, Gen 6 2016 Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain. Zbl 1353.35224Fan, Jishan; Li, Fucai; Nakamura, Gen 3 2016 Reconstruction of the shear modulus of viscoelastic systems in a thin cylinder: an inversion scheme and experiments. Zbl 1469.74053Eom, Junyong; Kang, Hyeonbae; Nakamura, Gen; Wang, Yun-Che 2 2016 On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects. Zbl 1321.35087Fan, Jishan; Jia, Xuanji; Nakamura, Gen; Zhou, Yong 49 2015 On strong solutions to the compressible Hall-magnetohydrodynamic system. Zbl 1304.35539Fan, Jishan; Alsaedi, Ahmed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong 45 2015 Regularity criteria for the incompressible Hall-MHD system. Zbl 1333.35191Fan, Jishan; Fukumoto, Yasuhide; Nakamura, Gen; Zhou, Yong 35 2015 Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. Zbl 1346.65029Nakamura, Gen; Potthast, Roland 13 2015 Global regularity for the 2D liquid crystal model with mixed partial viscosity. Zbl 1314.35081Fan, Jishan; Alzahrani, Faris Saeed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong 9 2015 Uniform well-posedness and singular limits of the isentropic Navier-Stokes-Maxwell system in a bounded domain. Zbl 1327.76167Fan, Jishan; Li, Fucai; Nakamura, Gen 9 2015 Reconstruction of an unknown cavity with Robin boundary condition inside a heat conductor. Zbl 1330.35541Nakamura, Gen; Wang, Haibing 8 2015 Reconstruction of an impedance cylinder at oblique incidence from the far-field data. Zbl 1418.35383Nakamura, Gen; Wang, Haibing 7 2015 A blow-up criterion to the 2D full compressible magnetohydrodynamic equations. Zbl 1317.35009Fan, Jishan; Li, Fucai; Nakamura, Gen 7 2015 Dispersion of Rayleigh waves in vertically-inhomogeneous prestressed elastic media. Zbl 1309.35164Man, Chi-Sing; Nakamura, Gen; Tanuma, Kazumi; Wang, Shengzhang 4 2015 Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain. Zbl 1333.76091Nakamura, Gen; Li, Fucai; Fan, Jishan 3 2015 Regularity criteria for the \(p\)-harmonic and Ostwald-de Waele flows. Zbl 1327.35226Fan, Jishan; Nakamura, Gen; Zhou, Yong 1 2015 Global Cauchy problem of 2D generalized MHD equations. Zbl 1297.35182Fan, Jishan; Malaikah, Honaida; Monaquel, Satha; Nakamura, Gen; Zhou, Yong 78 2014 Regularity criteria for the incompressible Hall-magnetohydrodynamic equations. Zbl 1297.35067Fan, Jishan; Li, Fucai; Nakamura, Gen 34 2014 Regularity criteria for the three-dimensional magnetohydrodynamic equations. Zbl 1291.35175Fan, Jishan; Li, Fucai; Nakamura, Gen; Tan, Zhong 21 2014 A regularity criterion for the 3D generalized MHD equations. Zbl 1308.35205Fan, Jishan; Alsaedi, Ahmed; Hayat, Tasawar; Nakamura, Gen; Zhou, Yong 10 2014 Global strong solution to the 2D density-dependent liquid crystal flows with vacuum. Zbl 1292.35201Fan, Jishan; Li, Fucai; Nakamura, Gen 10 2014 Conditional stability for a single interior measurement. Zbl 1365.35225Honda, Naofumi; McLaughlin, Joyce; Nakamura, Gen 7 2014 Regularity criteria and uniform estimates for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity. Zbl 1338.35358Fan, Jishan; Li, Fucai; Nakamura, Gen 3 2014 Global strong solution to the two-dimensional density-dependent magnetohydrodynamic equations with vaccum. Zbl 1292.76075Fan, Jishan; Li, Fucai; Nakamura, Gen 2 2014 A blowup criterion for the 3D generalized MHD system with zero magnetic diffusivity. Zbl 1324.35146Fan, Jishan; Nakamura, Gen; Zhou, Yong 1 2014 Global solutions to the Navier-Stokes-\({\bar \omega}\) and related models with rough initial data. Zbl 1293.35203Fan, Jishan; Li, Fucai; Nakamura, Gen 1 2014 Well-posedness for the axisymmetric incompressible viscous Hall-magnetohydrodynamic equations. Zbl 1315.35164Fan, Jishan; Huang, Shuxiang; Nakamura, Gen 36 2013 Global Cauchy problem for a 2D magnetic Bénard problem with zero thermal conductivity. Zbl 1355.35155Zhou, Yong; Fan, Jishan; Nakamura, Gen 17 2013 The direct electromagnetic scattering problem from an imperfectly conducting cylinder at oblique incidence. Zbl 1268.78010Nakamura, Gen; Wang, Haibing 11 2013 Linear sampling method for the heat equation with inclusions. Zbl 1290.35332Nakamura, Gen; Wang, Haibing 10 2013 Unique continuation property for the anomalous diffusion and its application. Zbl 1307.35312Cheng, Jin; Lin, Ching-Lung; Nakamura, Gen 9 2013 Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators. Zbl 1263.35082Honda, N.; Nakamura, G.; Sini, M. 8 2013 Global strong solution to the density-dependent 2-D liquid crystal flows. Zbl 1328.76008Zhou, Yong; Fan, Jishan; Nakamura, Gen 5 2013 Blow-up criteria for 3D nematic liquid crystal models in a bounded domain. Zbl 1294.35061Fan, Jishan; Nakamura, Gen; Zhou, Yong 4 2013 Inverse boundary value problem for the heat equation with discontinuous coefficients. Zbl 1274.35418Nakamura, Gen; Sasayama, Satoshi 4 2013 Regularity criteria for a mathematical model for the deformation of electrolyte droplets. Zbl 1426.76701Fan, Jishan; Li, Fucai; Nakamura, Gen 4 2013 A gradient estimate for solutions to parabolic equations with discontinuous coefficients. Zbl 1288.35129Fan, Jishan; Kim, Kyoungsun; Nagayasu, Sei; Nakamura, Gen 3 2013 Model independent MRE data analysis. Zbl 1275.92068Yoshikawa, Kogo; Nakamura, Gen 1 2013 The integral equation method for electromagnetic scattering problem at oblique incidence. Zbl 1241.78016Wang, Haibing; Nakamura, Gen 9 2012 Linear sampling method for identifying cavities in a heat conductor. Zbl 1247.35202Heck, Horst; Nakamura, Gen; Wang, Haibing 8 2012 Inverse scattering for obliquely incident polarized electromagnetic waves. Zbl 1260.35226Nakamura, Gen; Wang, Haibing 8 2012 Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition. Zbl 1282.35276Jin, Liangbing; Fan, Jishan; Nakamura, Gen; Zhou, Yong 8 2012 On uniqueness of an inverse problem in electromagnetic obstacle scattering for an impedance cylinder. Zbl 1241.78026Nakamura, Gen; Sleeman, Brian D.; Wang, Haibing 6 2012 Blow-up criteria of smooth solutions to the 3D Boussinesq system with zero viscosity in a bounded domain. Zbl 1243.35137Fan, Jishan; Nakamura, Gen; Wang, Haibing 5 2012 On the Cauchy problem for a model of electro-kinetic fluid. Zbl 1358.76078Fan, Jishan; Nakamura, Gen; Zhou, Yong 4 2012 Existence of smooth global solutions for a 1-D modified Navier-Stokes-Fourier model. Zbl 1288.35402Sun, Jianzhu; Fan, Jishan; Nakamura, Gen 1 2012 A regularity criterion for a fluid system with the linear Soret effect. Zbl 1277.76011Fan, Jishan; Nakamura, Gen; Zhou, Yong 1 2012 The Green function of the interior transmission problem and its applications. Zbl 1266.35020Kim, Kyoungsun; Nakamura, Gen; Sini, Mourad 1 2012 Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations. Zbl 1270.35339Fan, Jishan; Jiang, Song; Nakamura, Gen; Zhou, Yong 74 2011 Regularity criteria for the generalized magnetohydrodynamic equations and the quasi-geostrophic equations. Zbl 1236.35120Fan, Jishan; Gao, Hongjun; Nakamura, Gen 15 2011 Stability of weak solutions to equations of magnetohydrodynamics with Lebesgue initial data. Zbl 1230.35020Fan, Jishan; Jiang, Song; Nakamura, Gen 14 2011 Quantitative strong unique continuation for the Lamé system with less regular coefficients. Zbl 1291.35390Lin, C.-L.; Nakamura, G.; Uhlmann, G.; Wang, J.-N. 11 2011 Approximate steady state models for magnetic resonance elastography. Zbl 1234.35311Jiang, Yu; Fujiwara, Hiroshi; Nakamura, Gen 10 2011 On logarithmically improved regularity criteria for the Navier-Stokes equations in \(\mathbb R^{n}\). Zbl 1219.35169Fan, Jishan; Jiang, Song; Nakamura, Gen 5 2011 Quantitative uniqueness for second order elliptic operators with strongly singular coefficients. Zbl 1219.35058Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan 5 2011 Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients. Zbl 1202.35325Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan 11 2010 Inverse viscosity problem for the Navier-Stokes equation. Zbl 1186.35240Fan, Jishan; di Cristo, Michele; Jiang, Yu; Nakamura, Gen 11 2010 Reconstruction of an unknown inclusion by thermography. Zbl 1215.35169Isakov, Victor; Kim, Kyoungsun; Nakamura, Gen 7 2010 Numerical implementation for a 2-D thermal inhomogeneity through the dynamical probe method. Zbl 1224.65220Yi, Lei; Kim, Kyoungsun; Nakamura, Gen 3 2010 The identification of a penetrable obstacle with mixed transmission conditions from far field measurements. Zbl 1188.35198Cakoni, Fioralba; Nakamura, Gen; Sini, Mourad; Zeev, Noam 3 2010 Inverse problems for the Boussinesq system. Zbl 1173.35728Fan, Jishan; Jiang, Yu; Nakamura, Gen 6 2009 Well-posedness of an inverse problem of Navier-Stokes equations with the final overdetermination. Zbl 1181.35329Fan, J.; Nakamura, G. 6 2009 On the identification of a coefficient function in a nonlinear wave equation. Zbl 1172.35311Nakamura, Gen; Watanabe, Michiyuki; Kaltenbacher, Barbara 5 2009 Recovery of multiple obstacles by probe method. Zbl 1170.35556Cheng, Jin; Liu, Jijun; Nakamura, Gen; Wang, Shengzhang 5 2009 Numerical implementations of dynamical probe method for non-stationary heat equation. Zbl 1162.65393Daido, Y.; Lei, Y.; Liu, J. J.; Nakamura, G. 3 2009 Numerical differentiation for the second order derivatives of functions of two variables. Zbl 1133.65011Nakamura, Gen; Wang, Shengzhang; Wang, Yanbo 10 2008 Inversion analysis for magnetic resonance elastography. Zbl 1132.35356Nakamura, Gen; Jiang, Yu; Nagayasu, Sei; Cheng, Jin 9 2008 The no-response approach and its relation to non-iterative methods for the inverse scattering. Zbl 1162.35340Honda, Naofumi; Nakamura, Gen; Potthast, Roland; Sini, Mourad 4 2008 An inverse boundary value problem for a nonlinear wave equation. Zbl 1157.35123Nakamura, Gen; Watanabe, Michiyuki 4 2008 Unique continuation for the elastic transversely isotropic dynamical systems and its application. Zbl 1148.74005Lin, Ching-Lung; Nakamura, Gen; Sini, Mourad 3 2008 Local solvability of an inverse problem to the density-dependent Navier-Stokes equations. Zbl 1152.35398Fan, Jishan; Nakamura, Gen 3 2008 ...and 80 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,032 Authors 74 Nakamura, Gen 57 Fan, Jishan 33 Uhlmann, Gunther Alberto 33 Zhou, Yong 24 Gala, Sadek 21 Yamamoto, Masahiro 20 Wang, Jenn-Nan 19 Li, Fucai 17 Liu, Jijun 17 Sini, Mourad 16 Wang, Haibing 16 Zhang, Zujin 16 Zhu, Mingxuan 13 Lassas, Matti J. 13 Lin, Yi-Hsuan 13 Ragusa, Maria Alessandra 12 Ammari, Habib M. 12 Lin, Ching-Lung 12 Liu, Qiao 12 Zhao, Xiaopeng 11 Bellassoued, Mourad 11 Hu, Guanghui 11 Wu, Jiahong 11 Zhong, Xin 10 Hayat, Tasawar 10 Imanuvilov, Oleg Yu. 10 Kang, Hyeonbae 10 Salo, Mikko 9 Liu, Hongyu 9 Ma, Caochuan 9 Ma, Liangliang 9 Wang, Yinxia 9 Wang, Yuzhu 9 Yamazaki, Kazuo 9 Yao, Zhengan 8 Belishev, Mikhail Igorevitch 8 de Hoop, Maarten V. 8 Jiang, Song 8 Jiang, Zaihong 8 Kurylëv, Yaroslav Vadimovich 8 Tang, Tong 7 Cârstea, Cătălin Ion 7 Kian, Yavar 7 Lai, Ru-Yu 7 Potthast, Roland W. E. 7 Sun, Jianzhu 7 Tan, Zhong 7 Tzou, Leo 7 Wang, Dehua 7 Wang, Zewen 7 Zhang, Jianwen 7 Zhao, Jihong 6 Isakov, Victor M. 6 Lee, Hyundae 6 Li, Peijun 6 Rachele, Lizabeth V. 6 Tanuma, Kazumi 6 Yang, Yang 6 Yuan, Baoquan 5 Amano, Kazuo 5 Cheng, Jin 5 Feizmohammadi, Ali 5 Guo, Jun 5 Guo, Zhengguang 5 Harrach, Bastian 5 Hu, Yuxi 5 Ju, Qiangchang 5 Khludnev, Aleksandr Mikhaĭlovich 5 Oksanen, Lauri 5 Qin, Yuming 5 Vashisth, Manmohan 5 Wan, Renhui 5 Xu, Xiaojing 5 Ye, Xia 5 Ye, Zhuan 5 Yin, Haiyan 5 Yu, Yanghai 5 Zhai, Jian 4 Al-saedi, Ahmed Eid Salem 4 Bal, Guillaume 4 Cakoni, Fioralba 4 Capdeboscq, Yves 4 Chae, Dongho 4 Chen, Qun 4 Dong, Boqing 4 Dou, Changsheng 4 Gao, Jincheng 4 Honda, Naofumi 4 Hu, Xianpeng 4 Huang, Bin 4 Isozaki, Hiroshi 4 Jiang, Yu 4 Kim, Jaemyoung 4 Kress, Rainer 4 Krupchyk, Katsiaryna 4 Kuan, Rulin 4 Li, Jingzhi 4 Li, Yeping 4 Liu, Keji 4 Mazzucato, Anna L. ...and 932 more Authors all top 5 Cited in 194 Serials 59 Journal of Mathematical Analysis and Applications 54 Journal of Differential Equations 44 ZAMP. 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