Container .NET Core Web App on Linux Docker SQL Server Connection

We have a .NET CORE web application running in Docker container on Linux. Our application connects to SQL Server. We have a requirement to connect to the database using Windows Authentication, and from my IIS experience I know that application needs to run within the context of the AD user that will be used to connect to SQL using Windows Auth.

Am I correct in this assumption? How do I define this with web app running on Kestrel in Linux Docker?