Zobrazeno 1 - 10
of 307
pro vyhledávání: '"Chen, Robin"'
Publikováno v:
Comptes Rendus. Mathématique, Vol 358, Iss 9-10, Pp 1073-1083 (2021)
In this announcement, we report results on the existence of families of large-amplitude internal hydrodynamic bores. These are traveling front solutions of the full two-phase incompressible Euler equation in two dimensions. The fluids are bounded abo
Externí odkaz:
https://doaj.org/article/0bc1174d70c447f1a210f1a30563d21e
In this paper, we show that a geometrical condition on $2\times2$ systems of conservation laws leads to non-uniqueness in the class of 1D continuous functions. This demonstrates that the Liu Entropy Condition alone is insufficient to guarantee unique
Externí odkaz:
http://arxiv.org/abs/2407.02927
In this paper, we study two-dimensional traveling waves in finite-depth water that are acted upon solely by gravity. We prove that, for any supercritical Froude number (non-dimensionalized wave speed), there exists a continuous one-parameter family $
Externí odkaz:
http://arxiv.org/abs/2404.08074
Autor:
Cortes, Gianfranco, Yu, Yue, Chen, Robin, Armstrong, Melissa, Vaillancourt, David, Vemuri, Baba C.
With the advent of group equivariant convolutions in deep networks literature, spherical CNNs with $\mathsf{SO}(3)$-equivariant layers have been developed to cope with data that are samples of signals on the sphere $S^2$. One can implicitly obtain $\
Externí odkaz:
http://arxiv.org/abs/2305.16657
A hollow vortex is a region of constant pressure bounded by a vortex sheet and suspended inside a perfect fluid; it can therefore be interpreted as a spinning bubble of air in water. This paper gives a general method for desingularizing non-degenerat
Externí odkaz:
http://arxiv.org/abs/2303.03570
This paper studies the structural implications of constant vorticity for steady three-dimensional internal water waves. It is known that in many physical regimes, water waves beneath vacuum that have constant vorticity are necessarily two dimensional
Externí odkaz:
http://arxiv.org/abs/2208.06477
Publikováno v:
In International Review of Economics and Finance June 2024 93 Part A:112-127
Autor:
Chen, Robin Ming, Jin, Jie
The Camassa-Holm-Kadomtsev-Petviashvili-I equation (CH-KP-I) is a two dimensional generalization of the Camassa-Holm equation (CH). In this paper, we prove transverse instability of the line solitary waves under periodic transverse perturbations. The
Externí odkaz:
http://arxiv.org/abs/2104.10825
Autor:
Chen, Robin Ming, Jin, Jie
The Boussinesq $abcd$ system arises in the modeling of long wave small amplitude water waves in a channel, where the four parameters $(a,b,c,d)$ satisfy one constraint. In this paper we focus on the solitary wave solutions to such a system. In partic
Externí odkaz:
http://arxiv.org/abs/2103.10812
In dimension $n=2$ and $3$, we show that for any initial datum belonging to a dense subset of the energy space, there exist infinitely many global-in-time admissible weak solutions to the isentropic Euler system whenever $1<\gamma\leq 1+\frac2n$. Thi
Externí odkaz:
http://arxiv.org/abs/2103.04905