Short answers, pulled from the story.
A low-pressure area is a region where air pressure is lower than in adjacent areas, creating a force that pulls winds inward to fill the void. This process, called cyclogenesis, begins when diverging winds aloft create a vacuum effect that pulls air upward from the surface, lowering surface pressures as upward motion counteracts gravity.
Large-scale thermal lows are most commonly located over the Tibetan Plateau and in the lee of the Rocky Mountains, where geography amplifies the heating effect. These systems also form in the Sonoran Desert, the Mexican Plateau, and the Sahara due to intense solar heating of lower air layers.
Worldwide tropical cyclone activity peaks in late summer, with September being the most active month and May the least active. Nearly one-third of the world's tropical cyclones form within the western Pacific Ocean, making it the most active tropical cyclone basin on Earth.
The Coriolis force caused by Earth's rotation gives winds around low-pressure areas their counter-clockwise circulation in the northern hemisphere and clockwise circulation in the southern hemisphere. This deflection allows winds to circulate around the low-pressure center rather than flowing directly into it.
Tropical cyclones require water temperatures of at least 26 degrees Celsius down to a depth of at least 50 meters, rapid cooling with height, high humidity in the lower-to-mid troposphere, and low amounts of wind shear. They must also form more than 5 degrees north and 5 degrees south of the equator to allow the Coriolis effect to deflect winds.
In Europe, particularly in the British Isles and Netherlands, recurring low-pressure weather systems are typically known as depressions that bring wet weather throughout the year. These systems are a defining feature of the region's climate and create cloudy skies that dampen diurnal temperature extremes.