曽我 幸平

Finite Difference Methods for Linear Transport Equations with Sobolev Velocity Fields 

Journal of Mathematical Fluid Mechanics 27(1) 2024年11月27日  査読有り筆頭著者最終著者責任著者

Existence of global weak solutions of inhomogeneous incompressible Navier–Stokes system with mass diffusion 

Zeitschrift fur Angewandte Mathematik und Physik 75(2) 2024年4月  

Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations 

Numerische Mathematik 2024年  

Mathematical analysis of modified level-set equations 

Mathematische Annalen 2024年  

A Remark on Tonelli’s Calculus of Variations 

Russian Journal of Nonlinear Dynamics 19(2) 239-248 2023年  

Hamilton-Jacobi方程式に対する有限差分法の数学解析―確率論と変分法を用いた枠組― 

学会誌「応用数理」 32(3) 127-138 2022年9月  査読有り招待有り筆頭著者

More on Convergence of Chorin’s Projection Method for Incompressible Navier–Stokes Equations 

Journal of Mathematical Fluid Mechanics 24(2) 2022年5月  

Weak KAM theory for action minimizing random walks 

Calculus of Variations and Partial Differential Equations 60(5) 2021年10月  

On convergence of Chorin’s projection method to a Leray–Hopf weak solution 

Numerische Mathematik 146(2) 401-433 2020年10月1日  

STOCHASTIC AND VARIATIONAL APPROACH TO FINITE DIFFERENCE APPROXIMATION OF HAMILTON-JACOBI EQUATIONS 

Mathematics of Computation 89(323) 1135-1159 2020年5月  

Weak KAM theory for discounted Hamilton–Jacobi equations and its application 

Calculus of Variations and Partial Differential Equations 57(3) 2018年6月1日  

Selection problems of Z² -periodic entropy solutions and viscosity solutions 

Calculus of Variations and Partial Differential Equations 56(4) 2017年8月1日  

On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface 

Discrete and Continuous Dynamical Systems- Series A 36(7) 3741-3774 2016年7月  

Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent 

Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday none 111-134 2016年  

More on stochastic and variational approach to the lax-friedrichs scheme 

Mathematics of Computation 85(301) 2161-2193 2016年  

Space-time continuous limit of random walks with hyperbolic scaling 

Nonlinear Analysis, Theory, Methods and Applications 102 264-271 2014年6月  

Stochastic and variational approach to the lax-friedrichs scheme 

Mathematics of Computation 84(292) 629-651 2014年  

Difference approximation to Aubry-Mather sets of the forced Burgers equation 

Nonlinearity 25(9) 2401-2422 2012年9月  

A point-wise criterion for quasi-periodic motions in the KAM theory 

Nonlinear Analysis, Theory, Methods and Applications 73(10) 3151-3161 2010年11月15日