Faculty Database - NAWA Hayato

■ Books and Papers

1.		Article	Nelson Diffusions and Nonlinear Schrödinger equations pp.172-181 (Single)
2.	2018	Article	Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies Memoirs of the AMS (Collaboration)
3.	2015/04	Article	An Essays on Statistical Theory of Turbulence RIMS Kokyuroku 1947 1947,pp.115-133 (Single)
4.	2014/09	Article	Toward a Mathematical Theory of Turbulence pp.83-100 (Single)
5.	2013/05	Article	Existence of a ground state and scattering for a nonlinear Schrödinger equation with critical growth Selecta Mathematica New Series 19(2),pp.545-609 (Collaboration)
6.	2013/01	Article	Nelson Diffusions and Nonlinear Schrödinger equations RIMS Kokyuroku `` Stochastic processes and statitical phenomena nehind PDEs'' 1823(-),pp.172-181 (Single)
7.	2012/11	Article	Scattering and blowup problems for a class of nonlinear Schrödinger equations Differential and Integral Equations 25(11-12),pp.1075-1118 (Collaboration)
8.	2012/03	Article	Existence of a ground state and blow-up problem for a nonlinear Schrödinger equation with critical growth Differential and Integral Equations 25(3-4),pp.383-402 (Collaboration)
9.	2010/08	Article	Self-focusing of a LASER beam and nonlinear Schrödinger equations - An application of the Nelson diffusion RIMS Kokyuroku 1702 1702(-),pp.31-50 (Single)
10.	2007/03	Article	Formation of singularities in solutions of the derivative nonlinear Schrödinger equation and collapse of Alfvén waves 第56回理論応用力学講演会　講演論文集 -(-),pp.115-116 (Single)
11.	2005/05	Article	Formation of singularities in solutions of the derivative nonlinear Schrödinger equation and collapse of Alfvén waves pp.115-116 (Single)
12.	2001/12	Article	Nelson diffusions and blow-up phenomena in solutions of the nonlinear Schrödinger equation with critical power Nonlinear Dynamics and Renormalization Group - CRM Proceedings and lecture notes 27(-),pp.117-134 (Single)
13.	1999/02	Article	Asymptotic and limiting profiles of blowup solutions of the nonlinear Schrödinger equation with critical power Commun. Pure and Applied Math. 52(2),pp.193-270 (Single)
14.	1998/04	Article	On blowup for the pseudo-conformally invariant nonlinear Schrödinger equation II Commun. Pure and Applied Math. 51(4),pp.373-383 (Collaboration)
15.	1998/04	Article	Two points blow-up in solutions of the nonlinear Schrödinger equation with quartic potential on R J. Stat. Phys 91(2) (Single)
16.	1997/12	Article	Limiting profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity Proc. Japan Acad. 73(A)(10),pp.171-175 (Single)
17.	1994/10	Article	Asymptotic profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity J. Math. Soc. Japan 46(4),pp.557-586 (Single)
18.	1994/09	Article	Formation of singularities in blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity Miniconference on Analysis and Applications , Proc. Centre for Math. Appl. Austral. Nat. Univ. 33(-),pp.167-188 (Single)
19.	1993/05	Article	Asymptotic profiles of blow-up solutions of the nonlinear Schrödinger equatio Singularities in fluids, plasmas and optics -(-),pp.221-253 (Single)
20.	1992/05	Article	Nonlinear scattering with nonlocal interaction Commun. Math. Phys. 146(2),pp.259-275 (Collaboration)
21.	1992/04	Article	"Mass concentration" phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity Funk. Ekva. 35(1),pp.1-18 (Single)
22.	1991/06	Article	Convergence theorems for the pseudo-conformaly invariant nonlinear Schrödinger equation RIMS Kokyuroku 755 755(-),pp.73-92 (Single)
23.	1990/09	Article	"Mass concentration" phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity II Kodai Math. J. 13(2),pp.333-348 (Single)
24.	1990/09	Article	Convergence theorems for the pseudo-conformally invariant nonlinear Schrödinger equation Proc. Japan Acad. 66(A)(7),pp.214-216 (Single)
25.	1989/12	Article	On blowup for the pseudo-conformally invariant nonlinear Schrödinger equation Funk. Ekva. 32(3),pp.417-428 (Collaboration)
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■ Conference Presentations

1.	2016/06	A Mathematical Aspect of Turbulence (International Workshop on Theoretical Aspects of Near-Wall Turbulence Studies)
2.	2014/07	Toward a mathematical theory of turbulence (Mathematical Analysis in Fluid and Gas Dynamics)
3.	2013/02/15	A mathematical model of turbulence
4.	2010/12	Instability of the ground state of the nonlinear Schrödinger equations (Model Equations in Bose-Einstein Condensation and Related Topics (SAKURA project))
5.	2010/11	Nonlinear Schrödinger equations and geometry of corresponding Nelson diffusion (Workshop on Singularities Arising in Nonlinear Problems)
6.	2009/09	Nonlinear Schrödinger equations and relevant Nelson diffusions (4th Euro-Japan Workshop on Blow-up, Lorentz Center)
7.	2008/12	Nelson diffusions and loglog law for the pseudo-conformally invariant nonlinear Schrödinger equations (Stochastic Problems and Nonlinear PDEs)
8.	2008/09	Asymptotic profiles and blowup rates for the L^2 critical Nonlinear Schrödinger equaton (Third Euro-Japan Workshop on Blow-up)
9.	2003/02	Nonlinear Schrödinger equation and Stochastic Analysis (Emerging Applications of the Nonlinear Schrödinger equations)
10.	2000/10	Blowup of solutions of a class of nonlinear Schrödinger equations (Math 2000)
11.	2000/09	Nelson diffusions and blowup phenomena in solutions of the nonlinear Schrödinger equation with critical power (The First East Asia Symposium on Nonlinear PDE)
12.	1999/10	Formation of singularities in solutions of the derivative nonlinear Schrödinger equation on the half line (AMS Regional Meeting)
13.	1999/09	Limiting profiles and loglog law for blowup solutions of the nonlinear Schrödinger equation with critical power
14.	1999/08	Nelson diffusions and blowup phenomena in solutions of the nonlinear Schrödinger equation with critical power (Workshop on Nonlinear Dynamics and Renormalization Group)
15.	1998/10	Blow-up phenomena in solutions of the nonlinear Schrödinger equation with critical power (International Conference on Operator Theory and Its Applications to Scientific and Industrial Problems)
16.	1998/07	Nonlinear Schrödinger equation (MSJ Regional Workshop on Concentration Phenomena in Elliptic and Parabolic PDEs)
17.	1998/03	Two points blow-up in solutions of the nonlinear Schrödinger equation with quartic self-interacting potential on 1+1 space-time (AMS Regional Meeting)
18.	1996/07	Formation of singularities in solutions of the derivative nonlinear Schrödinger equation (WCNA 96)
19.	1994/06	Formation of singularities in solutions of coupled nonlinear Schrödinger equation (The International Conference on "Nonlinear Evolution Equations and Infinite Dimensional Dynamical Systems (ICNEEIDDS))
20.	1994/03	Formation of singularities in solutions of the nonlinear Schrödinger equation (Workshop on Nonlinear Partial Differential Equations, "Pattern Formation, Singularities and Related Topics.")
21.	1993/09	Formation of singularities in blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity (Miniconference on Analysis and Applications)
22.	1993/08	Asymptotic behavior of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity (Second international colloquium on numerical analysis)
23.	1993/08	Formation of Singularities in solutions of the nonlinear Schrödinger equation with critical power nonlinearity (Fourth International Colloquium on Differential Equations)
24.	1992/07	Asymptotic shape of blow-up solutions of the nonlinear Schrödinger equation (NATO Advanced Research Workshop "Singularities in Fluids, Plasmas and Optics'')
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■ Academic Qualifications

1.	1993/09/30 Degree Acquisition	Tokyo Institute of Technology, Doctor of Science
2.	1987/04～1989/07	〔Doctorial Course〕 Mathematics, Graduate School, Division of Science and Engineering, Waseda University, Unfinished course,

■ Career History

1.	2004/04～2013/03	Osaka University Professor
2.	1997/03～1997/09	New York University Courant Institute of Mathematical Sciences Courant Institute of Mathematical Sciences, Visitor
3.	1995/04～2004/03	Nagoya University Associate professor
4.	1989/08～1995/03	Tokyo Institute of Technology Assistant professor

■ Teaching Activities

● Textbook and Other Teaching Materials of your own
1.	2020/04/01～	Texts for Students　taking the following courses: Measure and Integration I and II, Complex Analysis II with exercises
2.	2020/04	Texts for the following courses: Mathmatical Analysis A, PDE A

■ Research Topics, Consignment Studies & KAKENHI Researches

1.

2011/12

Stochastic Processes and Statistical Phenomena behind PDEs (Key Word : )

■ Current Specialized Field

Basic analysis, Basic mathematics, Mathematical physics and fundamental theory of condensed matter physics