Using the Fokas unified method, we consider the initial boundary value problem for the Fokas-Lenells equation on the finite interval. We present that the Neumann boundary data can be explicitly expressed by Dirichlet ...Using the Fokas unified method, we consider the initial boundary value problem for the Fokas-Lenells equation on the finite interval. We present that the Neumann boundary data can be explicitly expressed by Dirichlet boundary conditions prescribed, and extend the idea of the linearizable boundary conditions for equations on the half line to Pokas-Lenells equation on the finite interval.展开更多
In this paper, we study a free boundary value problem for two-phase liquid- gas model with mass-dependent viscosity coefficient when both the initial liquid and gas masses connect to vacuum continuously. The gas is as...In this paper, we study a free boundary value problem for two-phase liquid- gas model with mass-dependent viscosity coefficient when both the initial liquid and gas masses connect to vacuum continuously. The gas is assumed to be polytropic whereas the liquid is treated as an incompressible fluid. We give the proof of the global existence and uniqueness of weak solutions whenβ∈ （0, 1）, which have improved the result of Evje and Karlsen, and we obtain the regularity of the solutions by energy method.展开更多
This paper generalizes the classic resource allocation problem to the resource planning and allocation problem, in which the resource itself is a decision variable and the cost of each activity is uncertain when the r...This paper generalizes the classic resource allocation problem to the resource planning and allocation problem, in which the resource itself is a decision variable and the cost of each activity is uncertain when the resource is determined. The authors formulate this problem as a two-stage stochastic programming. The authors first propose an efficient algorithm for the case with finite states. Then, a sudgradient method is proposed for the general case and it is shown that the simple algorithm for the unique state case can be used to compute the subgradient of the objective function. Numerical experiments are conducted to show the effectiveness of the model.展开更多
In this paper we prove an existence result for the nonlinear elliptic problem：-△u = Ku5,u 〉 0 in Ω,u = 0 on Ω,where Ω is a smooth bounded domain of R3 and K is a positive function in Ω.Our method relies on stud...In this paper we prove an existence result for the nonlinear elliptic problem：-△u = Ku5,u 〉 0 in Ω,u = 0 on Ω,where Ω is a smooth bounded domain of R3 and K is a positive function in Ω.Our method relies on studying its corresponding subcritical approximation problem and then using a topological argument.展开更多
Background: Total knee arthroplasty (TKA) is a useful treatment option for advanced knee osteoarthritis. Excellent clinical outcomes after TKA have been widely recognized, but the influence of psychiatric problems on ...Background: Total knee arthroplasty (TKA) is a useful treatment option for advanced knee osteoarthritis. Excellent clinical outcomes after TKA have been widely recognized, but the influence of psychiatric problems on them has not been focused on until quite recently. This study aimed to assess the influence of psychiatric problems on clinical outcomes after TKA in Japanese patients using two assessment scales developed in Japan because the Japanese cultural lifestyle is specifically characterized by bending to the floor and standing up. Methods: Clinical outcomes and psychiatric problems were evaluated using the Japanese Knee Osteoarthritis Measure (JKOM) and Brief Scale for Psychiatric Problems in Orthopaedic Patients (BS-POP), respectively. A total of 115 TKA patients were evaluated preoperatively and at 3, 6, and 12 months after TKA. The patients were classified into four groups (groups A-D) based on the BS-POP score. The JKOM scores were then compared between the two groups (groups A and D) with the worst and least psychiatric problems. The JKOM improvement rate between pre- and postoperative status in both groups A and D was also calculated. Results: The total JKOM score was significantly poorer in group A than in group D preoperatively and at 3, 6, and 12 months after TKA. The improvement rate showed no significant difference between groups A and D. Conclusion: Psychiatric problems influence both the poorer post- and preoperative clinical outcomes. However, a similar improvement rate in both groups A and D has indicated that TKA can be an effective treatment even for patients with psychiatric problems.展开更多
基金supported by grants from the National Natural Science Foundation of China(11271079,11626090)
文摘Using the Fokas unified method, we consider the initial boundary value problem for the Fokas-Lenells equation on the finite interval. We present that the Neumann boundary data can be explicitly expressed by Dirichlet boundary conditions prescribed, and extend the idea of the linearizable boundary conditions for equations on the half line to Pokas-Lenells equation on the finite interval.
基金Supported by the National Natural Science Foundation of China (11171340)
文摘In this paper, we study a free boundary value problem for two-phase liquid- gas model with mass-dependent viscosity coefficient when both the initial liquid and gas masses connect to vacuum continuously. The gas is assumed to be polytropic whereas the liquid is treated as an incompressible fluid. We give the proof of the global existence and uniqueness of weak solutions whenβ∈ （0, 1）, which have improved the result of Evje and Karlsen, and we obtain the regularity of the solutions by energy method.
基金supported by in part by the National Natural Science Foundation of China under Grant Nos.71390334 and 71132008the MOE Project of Key Research Institute of Humanities and Social Sciences at Universities under Grant No.11JJD630004Program for New Century Excellent Talents in University under Grant No.NCET-13-0660
文摘This paper generalizes the classic resource allocation problem to the resource planning and allocation problem, in which the resource itself is a decision variable and the cost of each activity is uncertain when the resource is determined. The authors formulate this problem as a two-stage stochastic programming. The authors first propose an efficient algorithm for the case with finite states. Then, a sudgradient method is proposed for the general case and it is shown that the simple algorithm for the unique state case can be used to compute the subgradient of the objective function. Numerical experiments are conducted to show the effectiveness of the model.
文摘In this paper we prove an existence result for the nonlinear elliptic problem：-△u = Ku5,u 〉 0 in Ω,u = 0 on Ω,where Ω is a smooth bounded domain of R3 and K is a positive function in Ω.Our method relies on studying its corresponding subcritical approximation problem and then using a topological argument.
文摘Background: Total knee arthroplasty (TKA) is a useful treatment option for advanced knee osteoarthritis. Excellent clinical outcomes after TKA have been widely recognized, but the influence of psychiatric problems on them has not been focused on until quite recently. This study aimed to assess the influence of psychiatric problems on clinical outcomes after TKA in Japanese patients using two assessment scales developed in Japan because the Japanese cultural lifestyle is specifically characterized by bending to the floor and standing up. Methods: Clinical outcomes and psychiatric problems were evaluated using the Japanese Knee Osteoarthritis Measure (JKOM) and Brief Scale for Psychiatric Problems in Orthopaedic Patients (BS-POP), respectively. A total of 115 TKA patients were evaluated preoperatively and at 3, 6, and 12 months after TKA. The patients were classified into four groups (groups A-D) based on the BS-POP score. The JKOM scores were then compared between the two groups (groups A and D) with the worst and least psychiatric problems. The JKOM improvement rate between pre- and postoperative status in both groups A and D was also calculated. Results: The total JKOM score was significantly poorer in group A than in group D preoperatively and at 3, 6, and 12 months after TKA. The improvement rate showed no significant difference between groups A and D. Conclusion: Psychiatric problems influence both the poorer post- and preoperative clinical outcomes. However, a similar improvement rate in both groups A and D has indicated that TKA can be an effective treatment even for patients with psychiatric problems.
