惊奇
发表于 2025-3-25 03:36:22
Direct Minimization of existing exchange energy contributions; this effect will be illustrated here for uniaxial materials, for the case of absent exterior fields .: . → ℝ., and . = 0. All results will be presented for . ⊂ ℝ., but can be generalized to . ⊂ ℝ. as well.
Hiatus
发表于 2025-3-25 09:57:35
Sucrose and osmotic dehydration,; electromagnetic coupling effects are incorporated in the (MLLG) equation. Part II closes with the numerical analysis for the nematic liquid crystal problem which also imposes a non-convex constraint onto its solution.
尾随
发表于 2025-3-25 13:52:38
http://reply.papertrans.cn/24/2329/232808/232808_23.png
prostate-gland
发表于 2025-3-25 19:16:39
http://reply.papertrans.cn/24/2329/232808/232808_24.png
colostrum
发表于 2025-3-25 22:24:24
Direct Minimizationtions can by rather costly, due to diverse patterns and scales of minimizing magnetizations. Moreover, they can blurr physical information in the case of existing exchange energy contributions; this effect will be illustrated here for uniaxial materials, for the case of absent exterior fields .: . →
Palpable
发表于 2025-3-26 03:26:57
http://reply.papertrans.cn/24/2329/232808/232808_26.png
subacute
发表于 2025-3-26 06:57:34
Relaxed Micromagnetism using Young Measures non-convex, it is not weakly closed in ..(.; ℝ.), and a solution to (I.4) does not have to exist for uniaxial materials; cf. for instance . An implication is that highly oscillatory minimizing sequences of . do not have weak limits in .. One way to overcome this problem is to convexify the anis
悬挂
发表于 2025-3-26 11:38:08
Summary and Outlookn magnetic recording, can have an enormous impact on future technologies. Their mathematical theory started with the introduction of the Landau-Lifshitz free energy; a numerical analysis of existing strategies to solve the corresponding minimization problem is presented in part I of this monograph.
拱形大桥
发表于 2025-3-26 15:26:35
http://reply.papertrans.cn/24/2329/232808/232808_29.png
类人猿
发表于 2025-3-26 17:45:23
http://reply.papertrans.cn/24/2329/232808/232808_30.png