Zobrazeno 1 - 10
of 613
pro vyhledávání: '"DONG, HONGJIE"'
In this paper, we study the interaction between two closely spaced rigid inclusions suspended in a Stokes flow. It is well known that the stress significantly amplifies in the narrow region between the inclusions as the distance between them approach
Externí odkaz:
http://arxiv.org/abs/2412.09135
Autor:
Dong, Hongjie, Ryu, Junhee
We study a class of degenerate parabolic and elliptic equations in divergence form in the upper half space $\{x_d>0\}$. The leading coefficients are of the form $x_d^2a_{ij}$, where $a_{ij}$ are measurable in $(t,x_d)$ except $a_{dd}$, which is measu
Externí odkaz:
http://arxiv.org/abs/2412.00779
We investigate higher derivative estimates for the Lam\'e system with hard inclusions embedded in a bounded domain in $\mathbb{R}^{d}$. As the distance $\varepsilon$ between two closely spaced hard inclusions approaches zero, the stress in the narrow
Externí odkaz:
http://arxiv.org/abs/2411.15498
Autor:
Bekmaganbetov, Bekarys, Dong, Hongjie
We investigate the inhomogeneous boundary value problem for elliptic and parabolic equations in divergence form in the half space $\{x_d > 0\}$, where the coefficients are measurable, singular or degenerate, and depend only on $x_d$. The boundary dat
Externí odkaz:
http://arxiv.org/abs/2410.08293
Let $n \ge 2$ and $\Omega \subset \mathbb{R}^n$ be a bounded Lipschitz domain. In this article, we establish first-order global regularity estimates in the scale of BMO spaces on $\Omega$ for weak solutions to the second-order elliptic equation $\mat
Externí odkaz:
http://arxiv.org/abs/2409.19498
Autor:
Dong, Hongjie, Wang, Ming
It is well known that every solution of an elliptic equation is analytic if its coefficients are analytic. However, less is known about the ultra-analyticity of such solutions. This work addresses the problem of elliptic equations with lower-order te
Externí odkaz:
http://arxiv.org/abs/2409.07027
We study the field concentration phenomenon between two closely spaced perfect conductors with imperfect bonding interfaces of low conductivity type. The boundary condition on these interfaces is given by a Robin-type boundary condition. We discover
Externí odkaz:
http://arxiv.org/abs/2409.05652
Autor:
Dong, Hongjie, Kwon, Hyunwoo
We consider nonstationary Stokes equations in nondivergence form with variable viscosity coefficients and Navier slip boundary conditions with slip coefficient $\alpha$ in a domain $\Omega$. On the one hand, if $\alpha$ is sufficiently smooth, then w
Externí odkaz:
http://arxiv.org/abs/2408.17321
In this paper, we are concerned with divergence form, higher-order parabolic systems in a cylindrical domain with a finite number of subdomains. We establish $L_\infty$ and Schauder estimates of solutions when the leading coefficients and the non-hom
Externí odkaz:
http://arxiv.org/abs/2407.17733
Autor:
Bulut, Aynur, Dong, Hongjie
We study the global well-posedness of the supercritical dissipative surface quasi-geostrophic (SQG) equation, a key model in geophysical fluid dynamics. While local well-posedness is known, achieving global well-posedness for large initial data remai
Externí odkaz:
http://arxiv.org/abs/2402.19439