In this paper, we consider a half-space model problem for a compressible fluid model of Korteweg type with slip boundary condition and prove the existence of ℛ-bounded solution operator families for the model problem.

In this paper, we prove the local and global well-posedness of some nonlinear thermoelastic plate equations with Dirichlet boundary conditions. The main tool for proving the local well-posedness is the maximal Lp-Lq regularity theorem for the linearized equations, and the main tool for proving the global well-posedness is the exponential stability of C 0 analytic semigroup associated with linear thermoelastic plate equations with Dirichlet boundary conditions.

In this paper, we consider a compressible fluid model of the Korteweg type on general domains in the N-dimensional Euclidean space for N≥2. The Korteweg-type model is employed to describe fluid capillarity effects or liquid–vapor two-phase flows with phase transition as a diffuse interface model. In the Korteweg-type model, the stress tensor is given by the sum of the standard viscous stress tensor and the so-called Korteweg stress tensor, including higher order derivatives of the fluid density. The local existence of strong solutions is proved in an Lp-in-time and Lq-in-space setting, p∈(1,∞) and q∈(N,∞), with additional regularity of the initial density on the basis of maximal regularity for the linearized system.

This paper discusses Monitoring Analytics Tools (MAT) to analyze the management quality of the Mathematics Study Program Faculty of Science and Technology UIN Syarif Hidayatullah Jakarta. Study program management based on Monitoring Analytics Tools (MAT) is one of strategy for building a study program management system based on data-driven and automated analytics. This method is handy in improving the quality of study programs so that they are more measurable, targeted, effective, and efficient in providing excellent services and developments. Monitoring Analytics Tools (MAT) in this study focused on two management quality developments of the study program, namely Monitoring Analytics Tools (MAT) for Lecturer Quality Development in the Learning Process through a Lecturer Evaluation Survey by Students and Monitoring Analytics Tools (MAT) for the Graduate Development through Graduate User Surveys. The results show that the responsiveness dimension (punctuality in learning activities) has the lowest satisfaction index for Lecturer Quality Development. Meanwhile, for the quality of graduates, the dimensions of specific skills (presentation and writing report skills) are the lowest satisfaction index.