Zobrazeno 1 - 10
of 15 340
pro vyhledávání: '"Jung, Jae"'
In this paper, we study the Navier-Stokes equation and the Burgers equation for the dynamical motion of a passive particle with harmonic and viscous forces, subject to an exponentially correlated Gaussian force. As deriving the Fokker-Planck equation
Externí odkaz:
http://arxiv.org/abs/2409.14150
Reaction-Diffusion systems arise in diverse areas of science and engineering. Due to the peculiar characteristics of such equations, analytic solutions are usually not available and numerical methods are the main tools for approximating the solutions
Externí odkaz:
http://arxiv.org/abs/2409.08941
In this paper, we solve the joint probability density for the passive and active particles with harmonic, viscous, and perturbative forces. After deriving the Fokker-Planck equation for a passive and a run-and-tumble particles, we approximately get a
Externí odkaz:
http://arxiv.org/abs/2409.05164
We study the Fokker-Planck equation for an active particle with both the radial and tangential forces and the perturbative force. We find the solution of the joint probability density. In the limit of the long-time domain and for the characteristic t
Externí odkaz:
http://arxiv.org/abs/2409.02475
We derive a Fokker-Planck equation for joint probability density for an active particle coupled two heat reservoirs with harmonic, viscous, random forces. The approximate solution for the joint distribution density of all-to-all and three others topo
Externí odkaz:
http://arxiv.org/abs/2409.02411
We firstly study the Navier-Stokes equation for the motion of a passive particle with harmonic, viscous, perturbative forces, subject to an exponentially correlated Gaussian force. Secondly, from the Fokker-Planck equation in an incompressible conduc
Externí odkaz:
http://arxiv.org/abs/2409.02401
Many reaction-diffusion systems in various applications exhibit traveling wave solutions that evolve on multiple spatio-temporal scales. These traveling wave solutions are crucial for understanding the underlying dynamics of the system. In this work,
Externí odkaz:
http://arxiv.org/abs/2407.09393
In this paper, we introduce the finite difference weighted essentially non-oscillatory (WENO) scheme based on the neural network for hyperbolic conservation laws. We employ the supervised learning and design two loss functions, one with the mean squa
Externí odkaz:
http://arxiv.org/abs/2407.06333
Autor:
Kim, Keunsu, Jung, Jae-Hun
To analyze the topological properties of the given discrete data, one needs to consider a continuous transform called filtration. Persistent homology serves as a tool to track changes of homology in the filtration. The outcome of the topological anal
Externí odkaz:
http://arxiv.org/abs/2406.19587
In this letter, we propose a robust and fast navigation system in a narrow indoor environment for UGV (Unmanned Ground Vehicle) using 2D LiDAR and odometry. We used behavior cloning with Transformer neural network to learn the optimization-based base
Externí odkaz:
http://arxiv.org/abs/2406.14947