The limit theory of the energy-critical complex Ginzburg-Landau equation

We study the limit behavior of the solutions to energy-critical complex Ginzburg-Landau equation. We give a rigorous theory of the zero-dispersion limit from energy-critical complex Ginzburg-Landau equation to energy-critical nonlinear heat equation for dimensions 3 and 4 in both the defocusing and focusing cases by energy method. Furthermore, we also show the invisicid limit of energy-critical complex Ginzburg-Landau equation to energy-critical nonlinear Schr\"odinger equation for dimension 4 in the focusing case

Global weak solution of 3-D focusing energy-critical nonlinear Schr\"odinger equation

In this article, we prove the existence of global weak solutions to the three-dimensional focusing energy-critical nonlinear Schr\"odinger (NLS) equation in the non-radial case. Furthermore, we prove the weak-strong uniqueness for some class of initial data. The main ingredient of our new approach is to use solutions of an energy-critical Ginzburg-Landau equation as approximations for the corresponding nonlinear Sch\"ordinger equation. In our proofs, we first show the dichotomy of global well-posedness versus finite time blow-up of energy-critical Ginzburg-Landau equation in $\dot{H}^1( \mathbb{R}^d)$ for $d = 3,4$ when the energy is less than the energy of the stationary solution $W$. We follow the strategy of C. E. Kenig and F. Merle [25,26], using a concentration-compactness/rigidity argument to reduce the global well-posedness to the exclusion of a critical element. The critical element is ruled out by dissipation of the Ginzburg-Landau equation, including local smoothness, backwards uniqueness and unique continuation. The existence of global weak solution of the three dimensional focusing energy-critical nonlinear Schr\"odinger equation in the non-radial case then follows from the global well-posedness of the energy-critical Ginzburg-Landau equation via a limitation argument. We also adapt the arguments of M. Struwe [37,38] to prove the weak-strong uniqueness when the $\dot{H}^1$-norm of the initial data is bounded by a constant depending on the stationary solution $W$.Comment: 35 page

Development and validation of a sensitive enzyme-linked immunosorbent assay for clonidine hydrochloride in pig urine and pork samples

Clonidine hydrochloride (CLO) is a new substitute for a traditionally used adrenergic agonist. The illegal use of CLO in the livestock industry possess potential harm to human health. Hence, it is an urgent need for the rapid detection of CLO residues. Here, we prepared a highly sensitive and specific monoclonal antibody (mAb) and it used to develop an indirect competitive ELISA (ic-ELISA) for the rapid screening of CLO residues. The limit of detection and limit of quantification values of ic-ELISA were as follows: 0.033 and 0.054 ng/mL for pig urine and 0.061 and 0.096 ng/mL for pork, respectively. Recovery experiment indicated that the ic-ELISA posed outstanding accuracy and precision. Furthermore, the results of ic-ELISA were strongly correlated to the results of HPLC. Thus, the ic-ELISA provided a sensitive and rapid on-site detection of CLO residues in pig urine and pork samples

Effects of plant growth regulators on the contents of rutin, hyperoside and quercetin in Hypericum attenuatum Choisy.

To explore the accumulation of rutin, hyperoside and quercetin in Hypericum attenuatum Choisy under treatment with different plant growth regulators, 100 mg/L, 200 mg/L and 300 mg/L cycocel, 100 mg/L, 200 mg/L and 300 mg/L mepiquat chloride and 1 mg/L, 2 mg/L and 3 mg/L naphthalene acetic acid were foliage sprayed on Hypericum attenuatum Choisy plants at the early growth stage. We sampled and determined the important flavonoid contents at the flowering stage. The results showed that the three plant growth regulators had different effects on the accumulation of rutin, hyperoside and quercetin in the leaves, stems and flowers of Hypericum attenuatum Choisy at the flowering stage. After spraying 1 mg/L naphthalene acetic acid at the early growth stage, the rutin contents in the leaves, stems and flowers increased by approximately 60.33%, 223.85% and 192.02%, respectively (P < 0.05). Spraying 100 mg/L mepiquat chloride increased the hyperoside contents in the leaves and flowers by approximately 7.77% and 12.87%, respectively (P < 0.05). Spraying 2 mg/L naphthalene acetic acid significantly increased the quercetin contents in the flowers and leaves by approximately 95.62% and 47.85%, respectively (P < 0.05). Therefore, at the early growth stage, spraying 1 mg/L naphthalene acetic acid significantly increased rutin content, spraying 100 mg/L mepiquat chloride significantly increased hyperoside content, and spraying 2 mg/L naphthalene acetic acid significantly increased quercetin content in Hypericum attenuatum Choisy. In conclusion, the accumulation of flavonoids in Hypericum attenuatum Choisy was regulated by plant growth regulators