On Autonomy of Will and the Applicable Law of Labor Contract:From the Perspective of Chinese Legislation

There are so many different opinions on whether the autonomy of will is applied in labor contract.In this paper,the author discusses the application and limitation of autonomy of will in labor contract,and puts forward some suggestions on the application of Article 43 of Law of the Application of Law for Foreign-related Civil Relationships after the introduction of Chinese legislation of the applicable law of labor contract.Autonomy of will is a useful principle in resolving disputes arising from foreign-related labor contract in China.

Improvement of Legislation System of Protecting Women’s Rights and Interests in China——Taking the Amendment of the Law on the Protection of Women’s Rights and Interests as an Opportunity

The Law on the Protection of Women’s Rights and interests has been amended twice since it was promulgated 1992,and it has formed a relatively complete legislation system together with relevant laws and regulations,accumulating experience of judicial application in practice.In the current proposed amendment of the Law on the Protection of Women’s Rights and interests,the main issues that should be considered are:First,the legislative purpose of this law should be reviewed to clarify the three legislative positions of the Law on Women’s Rights and interests,in terms of protection,practice and foundation.Second,it is necessary to grasp whether the text content is appropriate and rectify any defects in the existing text.Third,it should explore how to reform and implement specific systems from the micro perspective to improve the specific systems of women’s personal,property,and social rights and interests.Fourth,it should strengthen the systematic interaction with other norms at different levels and implement the principle of gender equality stipulated in the Constitution of the People’s Republic of China.Fifth,attention should be paid to the necessity of invoking the Law in judicial practice,the possibility of operation and the effectiveness of enforcement.The proposed amendment of the Law on the Protection of Women’s Rights and interests should also sum up the experience of local legislation and judicial decisions and improve the quality of judicial application of the law so that is truly responds to the practical needs and challenges of the protection of women’s rights and interests and the implementation of gender equality in the new era.

From Well-being-oriented Legislation to Democracy-oriented Legislation——An analysis of law making trend in socialist China

A socialist legal system with distinct Chinese features has taken shape in 2010 as required by the general objective of the ＂rule of law＂ strategy and legislation work put forward by the Party＇s 15th national congress. Up to the present,China has already made 237 laws,including the Constitution,699 administrative decrees and regulations and more than 8,600 local laws and regulations.1 They cover seven legal regimes,three tiers of laws. Laws concerning human rights are an important component

Enforcement of Food Legislation and Its Impact on Food Safety: A Case Study on Food Law Enactment in Mauritius

Foodborne diseases affect human health and cause significant economic loss. Among the proposed mitigating strategies to prevent, or at least, to reduce foodborne diseases were the enactment and proper enforcement of food legislation. In Mauritius (MU), many outbreaks have been reported since the enactment and enforcement of the Food Act 1998 (MU) and Food Regulations 1999 (MU). Therefore, it was high time to re-evaluate the impact of the food law on the pattern of foodborne diseases. The aim of this study was to evaluate how the introduction of the Mauritian food legislation had influenced the pattern of foodborne diseases and its suitability in recent years. Data were collected from the website of the Ministry of Health and Quality of Life of Mauritius from 1990 to 2015 and analysed using nonparametric statistical methods, where required. Results showed that more foodborne disease cases occurred during enforcement of the food legislation than before. The study also found that the food law was consistently enforced over the years, except during epidemics of chikungunya fever and dengue fever. Furthermore, several strengths and weaknesses were identified in the current legislation related to the risk of foodborne diseases. Comparing the Mauritian with the Australian food laws revealed some similarities and differences between the two legislations. This review showed that overall foodborne diseases in Mauritius increased and were not affected by the food law enforcement. Therefore, a revision of the law and its enforcement is necessary to make them more efficient in preventing foodborne diseases.

Nonuniform Dependence on the Initial Data for Solutions of Conservation Laws

In this paper,we study systems of conservation laws in one space dimension.We prove that for classical solutions in Sobolev spaces H^(s),with s>3/2,the data-to-solution map is not uniformly continuous.Our results apply to all nonlinear scalar conservation laws and to nonlinear hyperbolic systems of two equations.

Formal Inferring the Law of Conservation of Energy from Assuming A-Priori-ness of Knowledge in a Formal Axiomatic Epistemology System Sigma

The research purpose is invention (construction) of a formal logical inference of the Law of Conservation of Energy within a logically formalized axiomatic epistemology-and-axiology theory Sigma from a precisely defined assumption of a-priori-ness of knowledge. For realizing this aim, the following work has been done: 1) a two-valued algebraic system of formal axiology has been defined precisely and applied to proper-philosophy of physics, namely, to an almost unknown (not-recognized) formal-axiological aspect of the physical law of conservation of energy;2) the formal axiomatic epistemology-and-axiology theory Sigma has been defined precisely and applied to proper-physics for realizing the above-indicated purpose. Thus, a discrete mathematical model of relationship between philosophy of physics and universal epistemology united with formal axiology has been constructed. Results: 1) By accurate computing relevant compositions of evaluation-functions within the discrete mathematical model, it is demonstrated that a formal-axiological analog of the great conservation law of proper physics is a formal-axiological law of two-valued algebra of metaphysics. (A precise algorithmic definition of the unhabitual (not-well-known) notion “formal-axiological law of algebra of metaphysics” is given.) 2) The hitherto never published significantly new nontrivial scientific result of investigation presented in this article is a formal logical inference of the law of conservation of energy within the formal axiomatic theory Sigma from conjunction of the formal-axiological analog of the law of conservation of energy and the assumption of a-priori-ness of knowledge.

REFINED CONSERVATION LAW FOR AN EVEN ORDER ELLIPTIC SYSTEM WITH ANTISYMMETRIC POTENTIAL

Conservation law plays a very important role in many geometric variational problems and related elliptic systems.In this note,we refine the conservation law obtained by Lamm-Rivière for fourth order systems and de Longueville-Gastel for general even order systems.

Dimension by Dimension Finite Volume HWENO Method for Hyperbolic Conservation Laws

In this paper,we propose a finite volume Hermite weighted essentially non-oscillatory(HWENO)method based on the dimension by dimension framework to solve hyperbolic conservation laws.It can maintain the high accuracy in the smooth region and obtain the high resolution solution when the discontinuity appears,and it is compact which will be good for giving the numerical boundary conditions.Furthermore,it avoids complicated least square procedure when we implement the genuine two dimensional(2D)finite volume HWENO reconstruction,and it can be regarded as a generalization of the one dimensional(1D)HWENO method.Extensive numerical tests are performed to verify the high resolution and high accuracy of the scheme.

MULTI-DIMENSIONAL RIEMANN PROBLEM OF SCALAR CONSERVATION LAW

This paper considers multi-dimensional Riemann problem in another kind of view. The author gets solution of (1.1)(1.2) in Theorem 3.4 and proves itu uniqueness. A new method of solution constructing is applied, which is different from the usual self-similar transformation. The author also discusses some generalized concepts in multi-dimensional situation (such as 'convex condition', 'left value' and 'right value', etc). An example is finally given to demonstrate that rarefaction wave solution of (1.1)(1.2) is not self-similar.

Residual symmetry, interaction solutions, and conservation laws of the(2+1)-dimensional dispersive long-wave system

We explore the （2＋l）-dimensional dispersive long-wave （DLW） system. From the standard truncated Painleve expansion, the Baicklund transformation （BT） and residual symmetries of this system are derived. The introduction to an appropriate auxiliary dependent variable successfully localizes the residual symmetries to Lie point symmetries. In particular, it is verified that the （2＋l）-dimensional DLW system is consistent Riccati expansion （CRE） solvable. If the special form of （CRE）-consistent tanh-function expansion （CTE） is taken, the soliton-cnoidal wave solutions and corresponding images can be explicitly given. Furthermore, the conservation laws of the DLW system are investigated with symmetries and Ibragimov theorem.

NEW STRUCTURES FOR NON-SELFSIMILAR SOLUTIONS OF MULTI-DIMENSIONAL CONSERVATION LAWS

In this article, we get non-selfsimilar elementary waves of the conservation laws in another kind of view, which is different from the usual self-similar transformation. The solution has different global structure. This article is divided into three parts. The first part is introduction. In the second part, we discuss non-selfsimilar elementary waves and their interactions of a class of twodimensional conservation laws. In this case, we consider the case that the initial discontinuity is parabola with u＋ 〉 0, while explicit non-selfsirnilar rarefaction wave can be obtained. In the second part, we consider the solution structure of case u＋ 〈 0. The new solution structures are obtained by the interactions between different elementary waves, and will continue to interact with other states. Global solutions would be very different from the situation of one dimension.

Conservation laws of the generalized nonlocal nonlinear Schrodinger equation

The derivations of several conservation laws of the generalized nonlocal nonlinear Schrodinger equation are presented. These invaxiants are the number of particles, the momentum, the angular momentum and the Hamiltonian in the quantum mechanical analogy. The Lagrangian is also presented.

Symmetry Reductions, Exact Solutions and Conservation Laws of Asymmetric Nizhnik-Novikov-Veselov Equation

By applying a direct symmetry method, we get the symmetry of the asymmetric Nizhnik-Novikov-Veselov equation （ANNV）. Taking the special case, we have a finite-dimensional symmetry. By using the equivalent vector of the symmetry, we construct an eight-dimensional symmetry algebra and get the optimal system of group-invariant solutions. To every case of the optimal system, we reduce the ANNV equation and obtain some solutions to the reduced equations. Furthermore, we find some new explicit solutions of the ANNV equation. At last, we give the conservation laws of the ANNV equation.

Integrating Factors and Conservation Laws of Generalized Birkhoff System Dynamics in Event Space

In this paper, the conservation laws of generalized Birkhoff system in event space are studied by using the method of integrating factors. Firstly, the generalized Pfaff-Birkhoff principle and the generalized Birkhoff equations are established, and the definition of the integrating factors for the system is given. Secondly, based on the concept of integrating factors, the conservation theorems and their inverse for the generalized Birkhoff system in the event space are presented in detail, and the relation between the conservation laws and the integrating factors of the system is obtained and the generalized Killing equations for the determination of the integrating factors are given. Finally, an example is given to illustrate the application of the results.

POINTWISE CONVERGENCE RATE OF VANISHING VISCOSITY APPROXIMATIONS FOR SCALAR CONSERVATION LAWS WITH BOUNDARY

This article is concerned with the pointwise error estimates for vanishing vis- cosity approximations to scalar convex conservation laws with boundary.By the weighted error function and a bootstrap extrapolation technique introduced by Tadmor-Tang,an optimal pointwise convergence rate is derived for the vanishing viscosity approximations to the initial-boundary value problem for scalar convex conservation laws,whose weak entropy solution is piecewise C 2 -smooth with interaction of elementary waves and the ...

Interaction of elementary waves of scalar conservation laws with discontinuous flux function

In this paper, the Riemann solutions for scalar conservation laws with discontinuous flux function were constructed. The interactions of elementary waves of the conservation laws were concerned, and the numerical simulations were given.

An extension of the modified Sawada-Kotera equation and conservation laws

Based on the modified Sawad^Kotera equation, we introduce a 3 ~ 3 matrix spectral problem with two potentials and derive a hierarchy of new nonlinear evolution equations. The second member in the hierarchy is a generalization of the modified Sawad-Kotera equation, by which a Lax pair of the modified Sawada-Kotera equation is obtained. With the help of the Miura transformation, explicit solutions of the Sawad-Kotera equation, the Kaup-Kupershmidt equation, and the modified Sawad-Kotera equation are given. Moreover, infinite sequences of conserved quantities of the first two nonlinear evolution equations in the hierarchy and the modified Sawada-Kotera equation are constructed with the aid of their Lax pairs.

Lie symmetry and Mei continuum conservation law of system＊

Lie symmetry and Mei conservation law of continuum Lagrange system are studied in this paper. The equation of motion of continuum system is established by using variational principle of continuous coordinates. The invariance of the equation of motion under an infinitesimal transformation group is determined to be Lie-symmetric. The condition of obtaining Mei conservation theorem from Lie symmetry is also presented. An example is discussed for applications of the results.

CONSERVATION LAWS AND SYMMETRIES OF SYSTEMS WITH UNILATERAL CONSTRAINTS IN PHASE SPACE

By introducing the generalized quasi-symmetry of the infinitesimaltransformation for transformation group G_r, this paper studies theconservation laws and symmetries of dynamical systems with unilateralconstraints in phase space. Noether's theorem and Noether's inversetheorem for me- chanical system with unilateral constraints in phasespace are obtained and two kinds of equivalent forms of generalizedKilling equations which are used to determine the generators of theinfinitesimal group transformation are given.

Decay of Solutions of Non convex Scalar Conservation Laws

We study the large time behavior of solutions of scalar conservation laws with periodic initial data. Under a very weak nonlinearity condition,we prove that the solutions converge to constants as time tends to infinity. Our results improve the earlier ones since we only require the flux to be nonlinear at the mean value of the initial data.