aufkommend
arising
Describes something that is just beginning to develop, come into being, or become noticeable, such as a feeling or a storm.
Bei dem aufkommenden Sturm suchten alle Schutz.
As the arising storm approached, everyone sought shelter.

emerging
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arising
Describes something that is just beginning to develop, come into being, or become noticeable, such as a feeling or a storm.
Bei dem aufkommenden Sturm suchten alle Schutz.
As the arising storm approached, everyone sought shelter.

'Aufkommend' (arising/emerging) is the present participle of the verb 'aufkommen' (to arise, to appear). As an adjective, it therefore always describes a process that is just beginning or is in progress.
Sie spürte eine aufkommende Nervosität vor dem Gespräch.
She felt an arising nervousness before the conversation.
In this meaning, 'aufkommend' (arising) is often combined with feelings or natural phenomena. Typical examples are 'aufkommende Panik' (rising panic), 'aufkommende Zweifel' (growing doubts), 'aufkommender Nebel' (gathering fog), or 'aufkommender Wind' (rising wind).
Trotz aufkommender Müdigkeit arbeitete er weiter.
Despite arising tiredness, he kept working.
When referring to new developments, 'aufkommend' (emerging) often appears with nouns such as 'Trend' (trend), 'Thema' (topic), 'Technologie' (technology), or 'Mode' (fashion). It describes something that is gaining popularity.
Künstliche Intelligenz ist eine schnell aufkommende Technologie.
Artificial intelligence is a rapidly emerging technology.
increasingly / waxing
'zunehmend' and 'aufkommend' can both describe a development. 'zunehmend' means that something is already there and is becoming stronger, more frequent, or greater. 'aufkommend' more often means that something is just beginning or newly becoming noticeable, for example a feeling, a storm, or a trend. Learners may confuse the words because both have to do with change. Remember: 'aufkommend' is the beginning of a development; 'zunehmend' is the process of becoming stronger.

Am Himmel sieht man schon die aufkommenden Gewitterwolken.
You can already see the approaching thunderclouds in the sky.
Nach mehreren Stunden wird die Aufgabe zunehmend anstrengend.
After several hours, the task becomes increasingly tiring.