中里 亮介

Analyticity and asymptotic behavior of solutions to the compressible Navier-Stokes-Korteweg equations with the zero sound speed in scaling critical spaces 

arXiv:2506.01573 2025年6月  責任著者

On the asymptotic stability for the quasi-linear MHD model with Hall effects in scaling critical spaces via $\widehat{L}^p$ energy methods 

to appear in Proceedings of the conference "Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities." 2024年  査読有り筆頭著者

On the time-decay with the diffusion wave phenomenon of the solution to the compressible Navier-Stokes-Korteweg system in critical spaces 

to appear in Advanced Studies in Pure Mathematics 2024年  査読有り

Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect 

Mathematical Models and Methods in Applied Sciences 32(09) 1807-1878 2022年8月  査読有り責任著者

Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework 

Journal of Differential Equations 328 1-64 2022年8月  査読有り責任著者

Global well-posedness for the incompressible Hall-magnetohydrodynamic system in critical Fourier–Besov spaces 

Journal of Evolution Equations 22(1) 2022年3月  査読有り筆頭著者責任著者

Singular limit for the magnetohydrodynamics of the damped wave type in the critical Fourier–Sobolev space 

Journal of Differential Equations 271 414-446 2021年1月  査読有り責任著者

A Regularity Criterion for the Density-Dependent Magnetohydrodynamics System in Critical Besov Spaces 

Journal of Mathematical Fluid Mechanics 20(4) 1911-1919 2018年12月  査読有り筆頭著者責任著者