Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities

We show the existence of global weak solutions to the three-dimensional compressible primitive equations of atmospheric dynamics with degenerate viscosities. In analogy with the case of the compressible Navier-Stokes equations, the weak solutions satisfy the basic energy inequality, the Bresh-Desjardins entropy inequality and the Mellet-Vasseur estimate. These estimates play an important role in establishing the compactness of the vertical velocity of the approximating solutions, and therefore are essential to recover the vertical velocity in the weak solutions

Zero Mach Number Limit of the Compressible Primitive Equations: Ill-prepared Initial Data

In the work, we consider the zero Mach number limit of compressible primitive equations in the domain $\mathbb{R}^2 \times 2\mathbb{T}$ or $\mathbb{T}^2 \times 2\mathbb{T}$. We identify the limit equations to be the primitive equations with the incompressible condition. The convergence behaviors are studied in both $\mathbb{R}^2 \times 2\mathbb{T}$ and $\mathbb{T}^2 \times 2\mathbb{T}$, respectively. This paper takes into account the high oscillating acoustic waves and is an extension of our previous work by X. Liu and E.S. Titi, Arch. Rational Mech. Anal., 238, 705-747, 2020

Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations

This work is devoted to establishing the local-in-time well-posedness of strong solutions to the three-dimensional compressible primitive equations of atmospheric dynamics. It is shown that strong solutions exist, are unique, and depend continuously on the initial data, for a short time in two cases: with gravity but without vacuum, and with vacuum but without gravity. © 2021, The Author(s)

Well-posedness of Hibler's dynamical sea-ice model

This paper establishes the local-in-time well-posedness of solutions to an approximating system constructed by mildly regularizing the dynamical sea ice model of it W.D. Hibler, Journal of Physical Oceanography, 1979. Our choice of regularization has been carefully designed, prompted by physical considerations, to retain the original coupled hyperbolic-parabolic character of Hibler's model. Various regularized versions of this model have been used widely for the numerical simulation of the circulation and thickness of the Arctic ice cover. However, due to the singularity in the ice rheology, the notion of solutions to the original model is unclear. Instead, an approximating system, which captures current numerical study, is proposed. The well-posedness theory of such a system provides a first-step groundwork in both numerical study and future analytical study

The Relationship Between Vision and Organizational Readiness for Change: The Mediating Effects of Empowerment and Trust in the Leader

Purpose – The purpose of this paper is to investigate the relationship between vision and readiness for organizational change directly and through the mediating effects of empowerment and trust. Design/methodology/approach – Data were collected from a sample of 409 managerial and non-managerial personnel from four business organizations. Structural equation modeling (SEM) was used to test direct and mediating effects. Findings – Analyses provided strong support for the direct effects of vision and organizational readiness for change and the effects of vision on readiness for change were mediated by empowerment and trust in the leader. Research limitations/implications – Vision is significantly associated with readiness for organizational change. However, both trust in leadership and sense of empowerment strengthen the relationship between the two variables. Practical Implications – A compelling vision can improve employees’ readiness for change by empowering them and by developing trust in the leader. Originality/value –To the authors’ knowledge, this is the first study to examine the mediating effects of trust and empowerment on the relationship between vision and organizational readiness for change

The Influence of Leader Legacy Beliefs on Intergenerational Decision-Making

This grounded theory study aimed to explore the perceptions or thinking of legacy held by organizational leaders and how legacy thinking shaped their decisions and life experiences. Using the theory of planned behavior, the authors analyzed 52 semi-structured interviews with leaders to build an understanding of their perspectives on legacy. A framework emerged from the data that can help understand the process through which life experiences shaped legacy thinking and the values of legacy thinking held by participants. Our findings offer insights that can help develop leaders focused on the organization’s sustainability past their tenure

Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data

Funder: Einstein Stiftung Berlin; doi: http://dx.doi.org/10.13039/501100006188Funder: John Simon Guggenheim Memorial Foundation; doi: http://dx.doi.org/10.13039/100005851This work concerns the zero Mach number limit of the compressible primitive equations. The primitive equations with the incompressibility condition are identified as the limiting equations. The convergence with well-prepared initial data (i.e., initial data without acoustic oscillations) is rigorously justified, and the convergence rate is shown to be of order $\mathcal O(\varepsilon)$, as $\varepsilon \rightarrow 0^+$, where $\varepsilon$ represents the Mach number. As a byproduct, we construct a class of global solutions to the compressible primitive equations, which are close to the incompressible flows

Japanese Nursing Staff’s Knowledge and Attitude toward Bereavement Care for Couples with Miscarriage/Stillbirth and Its Associated Factors

Bereavement care is conducted to meet the emotional needs of grieving couples who are devastated by the experience of a miscarriage or stillbirth. From January to April 2022, we distributed a questionnaire that assessed the knowledge and attitudes of Japanese nursing staff (nurses and midwives) in Japan’s Chugoku-Shikoku region toward bereavement care for couples with miscarriage/stillbirth. The 370 survey respondents’ answers revealed that the nursing staff’s knowledge regarding recurrent pregnancy loss and subsequent bereavement care was insufficient. About 41.1% and 64.1% of the respondents had received school and on-the-job education in bereavement care, respectively, and 79.2% expressed willingness to provide such care. Our analyses revealed that the following factors were associated with the nursing staff’s knowledge level: parent status, age, reproductive history, midwifery license, work experience and environment, and on-the-job education. The following were correlated with the staff’s willingness to provide bereavement care: work environment, midwifery license, bereavement care knowledge, and on-the-job education. Together our findings indicate that education plays a significant role in equipping caregivers to provide effective bereavement care for couples who have experienced a miscarriage or stillbirth

Well-Posedness of Strong Solutions to the Anelastic Equations of Stratified Viscous Flows

Funder: John Simon Guggenheim Memorial Foundation; doi: http://dx.doi.org/10.13039/100005851Funder: Einstein Stiftung Berlin; doi: http://dx.doi.org/10.13039/501100006188Abstract: We establish the local and global well-posedness of strong solutions to the two- and three-dimensional anelastic equations of stratified viscous flows. In this model, the interaction of the density profile with the velocity field is taken into account, and the density background profile is permitted to have physical vacuum singularity. The existing time of the solutions is infinite in two dimensions, with general initial data, and in three dimensions with small initial data