2 citations · 4 across the 6 of their papers we have counts for
6 papers · 1 filter
Nonlinear stability of entropy waves for the Euler equations
Wei Wang, Zhifei Zhang, Wenbin Zhao
In this article, we consider a class of the contact discontinuity for the full compressible Euler equations, namely the entropy wave, where the velocity is continuous across the in…
Matrix-valued Allen-Cahn equation and the Keller-Rubinstein-Sternberg problem
Mingwen Fei, Fanghua Lin, Wei Wang +1
In this paper, we consider the sharp interface limit of a matrix-valued Allen-Cahn equation, which takes the form: $$\partial_t A=ΔA-\varepsilon^{-2}( A A^{\mathrm{T}}A- A)~~\text{…
Well-posedness of the free boundary problem in elastodynamics with mixed stability condition
Hui Li, Wei Wang, Zhifei Zhang
In this paper, we prove the local well-posedness of the free boundary problem in incompressible elastodynamics under a mixed type stability condition, i.e., for each point of the f…
Rigorous justification of the uniaxial limit from Qian-Sheng's inertial -tensor theory to the Ericksen-Leslie theory
Sirui Li, Wei Wang
In this paper, we rigorously justify the connection between Qian-Sheng's inertial -tensor model and the full Ericksen-Leslie model for the liquid crystal flow. By using the Hilb…
Sharp interface limit of a diffuse interface model for tumor-growth
Mingwen Fei, Tao Tao, Wei Wang
We consider the asymptotic limit of a diffuse interface model for tumor-growth when a parameter proportional to the thickness of the diffuse interface goes to zero. A…
The small Deborah number limit of the Doi-Onsager equation without hydrodynamics
Yuning Liu, Wei Wang
We study the small Deborah number limit of the Doi-Onsager equation for the dynamics of nematic liquid crystals without hydrodynamics. This is a Smoluchowski-type equation that cha…