Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Tong, Jiajun"'
Autor:
Huang, De, Tong, Jiajun
We rigorously construct the first steady traveling wave solutions of the 2D incompressible Euler equation that take the form of a contiguous vortex-patch dipole, which can be viewed as the vortex-patch counterpart of the well-known Lamb-Chaplygin dip
Externí odkaz:
http://arxiv.org/abs/2406.09849
Autor:
Tong, Jiajun, Zhang, Yuming Paul
We investigate the general Porous Medium Equations with drift and source terms that model tumor growth. Incompressible limit of such models has been well-studied in the literature, where convergence of the density and pressure variables are establish
Externí odkaz:
http://arxiv.org/abs/2403.05804
Autor:
Tong, Jiajun, Rui, Xiaobin
Commit Classification(CC) is an important task in software maintenance since it helps software developers classify code changes into different types according to their nature and purpose. This allows them to better understand how their development ef
Externí odkaz:
http://arxiv.org/abs/2308.10576
Commit Classification (CC) is an important task in software maintenance, which helps software developers classify code changes into different types according to their nature and purpose. It allows developers to understand better how their development
Externí odkaz:
http://arxiv.org/abs/2308.08263
Autor:
Tong, Jiajun, Wei, Dongyi
The 2-D Peskin problem describes a 1-D closed elastic string immersed and moving in a 2-D Stokes flow that is induced by its own elastic force. The geometric shape of the string and its internal stretching configuration evolve in a coupled way, and t
Externí odkaz:
http://arxiv.org/abs/2304.09556
We show that the De Gregorio model on the real line admits infinitely many compactly supported, self-similar solutions that are distinct under rescaling and will blow up in finite time. These self-similar solutions fall into two classes: the basic cl
Externí odkaz:
http://arxiv.org/abs/2209.08232
The open domain knowledge base is very important. It is usually extracted from encyclopedia websites and is widely used in knowledge retrieval systems, question answering systems, or recommendation systems. In practice, the key challenge is to mainta
Externí odkaz:
http://arxiv.org/abs/2208.14601
Text classification plays an important role in many practical applications. In the real world, there are extremely small datasets. Most existing methods adopt pre-trained neural network models to handle this kind of dataset. However, these methods ar
Externí odkaz:
http://arxiv.org/abs/2206.12027
Autor:
Tong, Jiajun
We introduce the tangential Peskin problem in 2-D, which is a scalar drift-diffusion equation with a nonlocal drift. It is derived with a new Eulerian perspective from a special setting of the 2-D Peskin problem where an infinitely long and straight
Externí odkaz:
http://arxiv.org/abs/2205.14723
In this paper we study a tumor growth model with nutrients. The model presents dynamic patch solutions due to the contact inhibition among the tumor cells. We show that when the nutrients do not diffuse and the cells do not die, the tumor density exh
Externí odkaz:
http://arxiv.org/abs/2204.07572