To avoid technicalities let us simplify the problem by adding a forcing term : Standard local well-posedness theory (using the vorticity-stream formulation of the Euler equations) tells us that this problem is well-posed if the initial data is divergence free and in for some , and the forci...
A_1 u_1 =A_2 u_2=F \tag{6} for any couple of sections, where F is the fluid flow rate. This analysis is valid for real pipes (with solid walls), but also “virtual” pipes, i.e. groups of streamlines with no mass exchange across the lateral surface, which is always the ...
But there is one precious thing mathematics has, that almost no other field currently enjoys: a consensus on what the ground truth is, and how to reach it. Because of this, even the strongest differences of opinion in mathematics can eventually be resolved, and mistakes realized and corrected....
In contrast, voids often evoke feelings of emptiness, loss, or the incomprehensible vastness of the universe. 14 In terms of formation and function, bubbles and voids arise from different processes and serve different purposes. Bubbles form when a gas is trapped by a liquid or solid, creating ...
The “Start working” operation after the installation is completed effectively restarts the IDE, so that the first execution will be done with user permissions, instead of elevated permissions. ‘Enable runtime themes’ is now turned on in the Base configuration of a project. ...
Dimension is the measurement of quantity like length, angle, radius, diameter. The dimensions are measured and represented by using a standard measurement system. The branch of science that deals with the measurements is called the Metrology
In terms of function, the term 'head' often signifies leadership or the main component of a system, playing a pivotal role in decision-making or functionality. In contrast, a 'pusher' is generally involved in the action of moving something along, focusing more on the mechanics of motion rath...
The incidence of intra-abdominal hypertension (IAH) is high and still underappreciated by critical care physicians throughout the world. One in four to one in three patients will have IAH on admission, while one out of two will develop IAH within the first week of Intensive Care Unit stay. ...
Under a Creative Commons license open accessAbstract Primary angle-closure glaucoma (PACG) is a common cause of blindness. Angle closure is a fundamental pathologic process in PAGC. With the development of imaging devices for the anterior segment of the eye, a better understanding of the pathogene...
When the Baihui point is penetrated, a stream of chi flows heavenward through the body. In this way, heaven and earth are symbolically reunited through the free-flowing chi. Those who are successful in this meditation are able to absorb and emit chi simultaneously, a very important ability fo...