Asset related issues can be searched via the "Assets" custom field or by handy AIP JQL functions.
Searching via custom field
Searching via custom field is as simple as any field in JIRA.
In issue navigator, type custom field name (by default it is Assets) and the asset list will be automatically displayed.
JQL functions
As of now, there are three JQL functions bundled with Assets and Inventory Plugin.
Here are some samples
issue in inventoryByAttribute("Memory", "8 GB")
issue in inventoryByAttributeIgnoreCase("First Name", "Tyler")
issue in inventoryByUserAttribute("Owner", "tylerdurden")
issue in inventoryByUserAttribute("Owner") // If you do not pass second attribute, logged in user will be used.