Zobrazeno 1 - 10
of 639
pro vyhledávání: '"Wang, Changyou"'
For any $k$-dimensional smooth, compact Riemannian manifold $(N, h)\subset\mathbb R^L$ without boundary, there exists an $\varepsilon_0>0$ such that for any homogeneous of degree zero map $u_0(x)=\phi_0(\frac{x}{|x|}):\mathbb R^n\to N$ ($n\ge 2$), if
Externí odkaz:
http://arxiv.org/abs/2409.19909
Autor:
Kortum, Joshua, Wang, Changyou
In dimension three, the existence of global weak solutions to the axisymmetric simplified Ericksen-Leslie system without swirl is established. This is achieved by analyzing weak convergence of solutions of the axisymmetric Ginzburg-Landau approximate
Externí odkaz:
http://arxiv.org/abs/2403.18559
Autor:
Li, Qinfeng, Wang, Changyou
Let $\mu>0$ be a fixed constant, and we prove that minimizers to the following energy functional \begin{align*} E_f(u,\Omega):=\int_{\Omega}|\nabla u|^2+\mu P(\Omega) \end{align*}exist among pairs $(\Omega,u)$ such that $\Omega$ is an $M$-uniform dom
Externí odkaz:
http://arxiv.org/abs/2211.01218
Autor:
Jia, Lili1,2 (AUTHOR), Wang, Changyou3 (AUTHOR) wangchangyou417@163.com
Publikováno v:
Advances in Continuous & Discrete Models. 8/14/2024, Vol. 2024 Issue 1, p1-19. 19p.
Given a $C^2$ family of vector fields $X_1,...,X_m$ which induces a continuous Carnot-Carath\'eodory distance, we show that any absolute minimizer of a supremal functional defined by a $C^2$ quasiconvex Hamiltonian $f(x, z, p)$, allowing $z$-variable
Externí odkaz:
http://arxiv.org/abs/2202.14008
We introduce a heat flow associated to half-harmonic maps, which have been introduced by Da Lio and Rivi\`ere. Those maps exhibit integrability by compensation in one space dimension and are related to harmonic maps with free boundary. We consider a
Externí odkaz:
http://arxiv.org/abs/2111.14171
Publikováno v:
Cal. Var. PDEs, 2023
We establish an optimal $L^p$-regularity theory for solutions to fourth order elliptic systems with antisymmetric potentials in all supercritical dimensions $n\ge 5$: $$ \Delta^2 u=\Delta(D\cdot\nabla u)+div(E\cdot\nabla u)+(\Delta\Omega+G)\cdot\nabl
Externí odkaz:
http://arxiv.org/abs/2111.07227
Autor:
Tang, Minan1 (AUTHOR) 11230956@stu.lzjtu.edu.cn, Wang, Changyou1 (AUTHOR) 11220941@stu.lzjtu.edu.cn, Qiu, Jiandong2 (AUTHOR) qiujd@mail.lzjtu.cn, Li, Hanting3 (AUTHOR) 13230061@stu.lzjtu.edu.cn, Guo, Xi1 (AUTHOR), Sheng, Wenxin3 (AUTHOR) 12231647@stu.lzjtu.edu.cn
Publikováno v:
Energies (19961073). Jun2024, Vol. 17 Issue 12, p2831. 19p.
Publikováno v:
In Cold Regions Science and Technology July 2024 223
Autor:
Du, Hengrong, Wang, Changyou
We establish the global existence of weak martingale solutions to the simplified stochastic Ericksen--Leslie system modeling the nematic liquid crystal flow driven by Wiener-type noises on the two-dimensional bounded domains. The construction of solu
Externí odkaz:
http://arxiv.org/abs/2011.09355