Research theme for competitive and other funds (20)：
2024 - 2029 Evolution equations describing singularities of non-equilibrium systems beyond the linear-response regime and development of nonlocal-nonlinear analysis
2021 - 2026 Mathematical Theory of Partial Differential Equations in Fluid Mechanics
2021 - 2026 非線形偏微分方程式のおける解の臨界正則性と特異性
2020 - 2024 New developments in mathematical analysis of spatio-temporal nonuniform dynamics in quasilinear hyperbolic-parabolic conservation laws
2019 - 2024 Creation of advanced method in mathematical analysis on nonlinear mathematical models of critical type
2020 - 2023 流体方程式における特異摂動と安定性の数学解析
2017 - 2022 Analysis of concentration phenomena for nonlinear wave and dispersive equations
2017 - 2021 Mathematical analysis of fluid dynamics in various singular limits
2016 - 2021 New development of mathematical theory of turbulence by collaboration of the nonlinear analysis and computational fluid dynamics
2016 - 2020 Mathematical Analysis of space-time nonuniform dynamics of equations for viscous compressible fluids
2015 - 2018 Asymptotic analysis of boundary layers for viscous compressible Navier-Stokes equatations
2014 - 2018 Understanding of turbulent phenomena through dissipative weak solutions to fluid equations
2013 - 2018 Elucidations on unexplored regions of problems related to the criticality of nonlinear dissipative and dispersive structures in mathematical models
2013 - 2016 Mathematical Analysis for local and nonlocal structures in viscous flows
2011 - 2015 Spectral and scattering theory for many body quantum systems in electromagnetic fields
2011 - 2012 Study on asymmetry and anisotropy in blow-up theory for nonlinear parabolic equations
2010 - 2012 Mathematical analysis for local structures of viscous incompressible flows
2009 - 2012 Development of mathematical analysis via phase field method
2008 - 2009 Mathematical analysis of nonlinear partial differential equations related with vorticity fields of viscous incompressible flows
2007 - 2009 Asymptotic analysis of systems of nonlinear partial differential equations describing motions of viscous fluids
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Papers (48)：
David Gerard-Varet, Sameer Iyer, Yasunori Maekawa. Improved Well-Posedness for the Triple-Deck and Related Models via Concavity. Journal of Mathematical Fluid Mechanics. 2023. 25. 3
Yasunori Maekawa, Hiroyuki Tsurumi. Existence of the stationary Navier-Stokes flow in \R^2 around a radial flow. Journal of Differential Equations. 2023. 350. 202-227
Yasunori Maekawa, Tatsu-Hiko Miura. Rate of the Enhanced Dissipation for the Two-jet Kolmogorov Type Flow on the Unit Sphere. Journal of Mathematical Fluid Mechanics. 2022. 24. 3. 51 pp.
Yasunori Maekawa. Note on smoothing estimates for Kolmogorov type equations. Partial Differential Equations and Applications. 2021. 2. 6
Yasunori Maekawa. Gevrey stability of Rayleigh boundary layer in the inviscid limit. Journal of Elliptic and Parabolic Equations. 2021. 7. 2. 417-438
Stability of the Prandtl boundary layer in the inviscid limit
(Online Workshop for Nonlinear Partial Differential Equations (online) 2021)
Prandtl boundary layer expansion in a Gevrey class around concave boundary layer
(International Workshop on Multiphase Flows (online) 2020)
Prandtl boundary layer expansion in a Gevrey class around concave boundary layer
(Vorticity, Rotation and Symmetry (V) - Global Results and Nonlocal Phenomena (online) 2020)
On Finn’s starting problem for the two-dimensional Navier-Stokes flow
(Maximal regularity and nonlinear PDE 2019)
