C ++ socket programming Maximum TCP / IP buffer size?

I am using C ++ TCP / IP sockets. According to my requirements, my client must connect to the server and read the messages sent to it (something really new, not so), but ... in my application I need to wait a while (usually 1 - 2 hours) before I I’ll start reading messages (via recv () or read ()), and the server continues to send messages anyway.

I want to know if there is a bandwidth limit on the buffer that stores these messages if they are not read and whose physical memory is used to buffer these messages? Sender or receiver?