日独共同大学院プログラム「流体数学」

Publications » Past Publications

これまでの論文業績 Past Publications from 2009 to March 2014.

Y. Enatsu, Y. Nakata and Y. Muroya, Global Stability for a Class of Discrete SIR Epidemic Models, Mathematical Biosciences and Engineering, 7 (Apr. 2010) Apr., no. 2, 347-361.
R. Farwig and T. Okabe, Periodic Solutions of the Navier-Stokes Equations with Inhomogeneous Boundary Conditions, Ann. Univ. Ferrara Sez. VII Sci. Mat., 56 (2010) no. 2, 249-281.
M. Hieber and Y. Shibata, The Fujita-Kato Approach to the Navier-Stokes Equations in the Rotational Framework, Mathematische Zeitschrift, 265 (2010) no. 2, 481-491.
N. Ito, Chain Homotopy Maps for Khovanov Homology, J. Knot Theory Ramifications, 20 (2011) Issue 1, 127-139.
Y. Nakata, Global Dynamics of a Cell Mediated Immunity in Viral Infection Models with Distributed Delays, Journal of Mathematical Analysis and Applications, 375 (Mar. 2011) Mar., no. 1, 14-27.
Y. Nakata, Global Dynamics of a Viral Infection Model with a Latent Period and Beddington-DeAngelis Response, Nonlinear Analysis Series A: Theory, Methods & Applications, 74 (Jun. 2011) June. Issue 9, 2929-2940.
O. Sawada and R. Takada, On the Analyticity and the Almost Periodicity of the Solution to the Euler Equations with Non-decaying Initial Velocity, Journal of Functional Analysis, 260 (2011) no. 7, 2148-2162.
M. Yamazaki, Unique Existence of Stationary Solutions to the Two-Dimensional Navier-Stokes Equations on Exterior Domains, Mathematical Aspects on the Navier-Stokes Equations and Related Topics, Past and Future--In memory of Professor Tetsuro Miyakawa, Gakuto International Series, Mathematical Sciences and Applications, 25 (2011) , 220-241.
Y. Enatsu, Y. Nakata, Y. Muroya, G. Izzo and A. Vecchio, Global Dynamics of Difference Equations for SIR Epidemic Models with a Class of Nonlinear Incidence Rates, Journal of Difference Equations and Applications, 18 (Jul. 2012) Jul., no.7, 1163-1181.
M. Hieber, Y. Naito snd Y. Shibata, Global Existence Results for Oldroyd-B Fluids in Exterior Domains, Journal of Differential Equations, 252 (2012) no. 3, 2617-2629.
N. Ikoma and H. Ishii, Eigenvalue Problem for Fully Nonlinear Second-order Elliptic PDE on Balls, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 29 (2012) Issue 5, 783-812.
K. Ishihara and Y. Nakata, On a Generalization of the Global Attractivity for a Periodically Forced Pielou's Equation, Journal of Difference Equations and Applications, 18 (Mar. 2012) Mar. no. 3, 375-396.
O. Sawada and R. Takada, Propagation of the analyticity for the solution to the Euler equations with non-decaying initial velocity, RIMS Kōkyūroku Bessatsu, (2012) 97-109.
O. Sawada and R. Takada, Propagation of the real analyticity for the solution to the Euler equations in the Besov space, RIMS Kōkyūroku, 1798 (2012) 134-145.
M. Tabata and H. Notsu, Finite difference approximation requiring function values on non-grid points, Transactions of the Japan Society for Industrial and Applied Mathematics, 22 (2012) no. 3, 171-179 (in Japanese).
N. Ikoma, Existence of Minimizers for Some Coupled Nonlinear Schrödinger Equations, Springer INdAM Series Volume 2, (2013) 143-164.
N. Ikoma, Existence of Eigenvalues and Eigenfunctions for Radially Symmetric Fully Nonlinear Elliptic Operators, 数理解析研究所講究録, 1845 (2013) 84-106.
N. Ito, Jones Polynomials of Long Virtual Knots, J. Knot Theory Ramifications, 22 (2013) Issue 2, 1350002, 17 pages.
T. Nakatsuka, Uniqueness of Steady Navier-Stokes Flows in Exterior Domains, Funkcial. Ekvac., 56 (2013) no. 2, 323-337.
H. Notsu, H. Rui and M. Tabata, Development and L2-Analysis of a Single-Step Characteristics Finite Difference Scheme of Second Order in Time for Convection-Diffusion Problems, Journal of Algorithms & Computational Technology, 7 (2013) no. 3, 343-380.
H. Notsu and M. Tabata, An Application of a Pressure-Stabilized Characteristics Finite Element Scheme to the Linear Stability Analysis of Flows Past a Circular Cylinder, Kyoto Univ. RIMS Kokyuroku, 1875 (2013) 109-116.
H. Notsu, D. Ueyama and M. Yamaguchi, A Self-Organized Mesh Generator Using Pattern Formation in a Reaction-Diffusion System, Applied Mathematics Letters, 26 (2013) 201-206.
K. Abe and Y. Giga, The L∞-Stokes Semigroup in Exterior Domains, J. Evol. Equ., 14 (2014) Issue 1, 1-28.
Y. Enomoto, L. von Below and Y. Shibata, On Some Free Boundary Problem for a Compressible Barotropic Viscous Fluid Flow, Annali dell'Universita di Ferrara, 60 (2014) Issue 1, 55-89.
R. Farwig, R. Schulz and M. Yamazaki, Concentration-Diffusion Phenomena of Heat Convection in an Imcompressible Fluid, Asymptotic Analysis, 88 (2014) no. 1-2, 17-41.
H. Koba, Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids, Mem. Amer. Math. Soc. (Memoirs of American Mathematical Society), 228 (2014) no. 1073, viii+127pp..
D. Bothe and K. Soga, Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent, Recent Developments of Mathematical Fluid Mechanics (Series: Advances in Mathematical Fluid Mechanics), in press.
G. P. Galdi and M. Yamazaki, Stability of Stationary Solutions of Two-Dimensional Navier-Stokes Exterior Problem, Proceedings of Mathematical Fluid Dynamics and Nonlinear Wave, in press.
K. Soga, Stochastic and Variational Approach to the Lax-Friedrichs Scheme, Mathematics of Computation, in press.
M. Yamazaki, Rate of Convergence to the Stationary Solution of the Navier-Stokes Exterior Problem, Recent Developments of Mathematical Fluid Mechanics, Series of Advances in Mathematical Fluid Mechanics, in press.
K. Abe, Y. Giga and M. Hieber, Stokes Resolvent Estimates in Spaces of Bounded Functions, Ann. Sci. Éc. Norm. Supér., to appear.
D. Goetz and Y. Shibata, On the R-Boundedness of the Solution Operators in the Study of the Compressible Viscous Fluid Flow with Free Boundary Conditions, in Asymptotic Analysis, to appear.
N. Ito, A Colored Khovanov Bicomplex, Banach Center Publication, to appear.
S. Yokoyama, Construction of Weak Solutions of a Certain stochastic Navier Stokes Equation, to appear in Stochastics, DOI: 10.1080/17442508.2013.848864.