Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Xu, Longjuan"'
Autor:
Li, Hongjie, Xu, Longjuan
In this paper, we are concerned with subwavelength resonant modes of two hard inclusions embedding in soft elastic materials to realize negative materials in elasticity. All the $12$ subwavelength resonant frequencies are derived explicitly for gener
Externí odkaz:
http://arxiv.org/abs/2407.19769
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:
Li, Haigang, Xu, Longjuan
In this paper, we establish the estimates for the gradient and the second-order partial derivatives for the Stokes flow in the presence of two closely located strictly convex inclusions in dimension three. Moreover, the blow-up rate of the gradient i
Externí odkaz:
http://arxiv.org/abs/2310.09498
In this paper, we consider higher regularity of a weak solution $({\bf u},p)$ to stationary Stokes systems with variable coefficients. Under the assumptions that coefficients and data are piecewise $C^{s,\delta}$ in a bounded domain consisting of a f
Externí odkaz:
http://arxiv.org/abs/2309.06722
The stress concentration is a common phenomenon in the study of fluid-solid model. In this paper, we investigate the boundary gradient estimates and the second order derivatives estimates for the Stokes flow when the rigid particles approach the boun
Externí odkaz:
http://arxiv.org/abs/2306.03591
It is an interesting and important topic to study the motion of small particles in a viscous liquid in current applied research. In this paper we assume the particles are convex with arbitrary shapes and mainly investigate the interaction between the
Externí odkaz:
http://arxiv.org/abs/2305.13793
Autor:
Dong, Hongjie, Xu, Longjuan
We consider parabolic systems in divergence form with piecewise $C^{(s+\delta)/2,s+\delta}$ coefficients and data in a bounded domain consisting of a finite number of cylindrical subdomains with interfacial boundaries in $C^{s+1+\mu}$, where $s\in\ma
Externí odkaz:
http://arxiv.org/abs/2206.06321
Autor:
Li, Haigang, Xu, Longjuan
It is vital important in material sciences and fluid mechanics to study the field enhancements in the narrow region between two inclusions. Complex fluids including particle suspensions usually result in complicated flow behavior. In this paper we es
Externí odkaz:
http://arxiv.org/abs/2204.00254
Autor:
Li, Haigang, Xu, Longjuan
Publikováno v:
In Journal of Functional Analysis 15 March 2024 286(6)
We study stationary Stokes systems in divergence form with piecewise Dini mean oscillation coefficients and data in a bounded domain containing a finite number of subdomains with $C^{1,\rm{Dini}}$ boundaries. We prove that if $(u, p)$ is a weak solut
Externí odkaz:
http://arxiv.org/abs/2105.05429