Samsung Electronics Co. isn’t giving up its fight against Apple Inc.

The South Korean company says it plans to amend its existing U.S. patent lawsuits against California-based Apple to include the new iPhone 5 as another product that infringes on its technology. The iPhone 5 hits stores tomorrow, and Apple already has secured orders for more than 2 million phones.

“Samsung anticipates that it will file, in the near future, a motion to amend its infringement contentions to add the iPhone 5 as an accused product,” Samsung said in a court filing. “Based on information currently available, Samsung expects that the iPhone 5 will infringe the asserted Samsung patents-in-suit in the same way as the other accused iPhone models.”

Samsung also is spreading its animosity toward Apple on the airwaves. In a new ad campaign, Samsung pokes fun at diehard Apple fans and touts the features of its own Galaxy S III smartphone.

The new ads and legal announcement come just less than a month after a jury ordered Samsung to pay Apple $1.05 billion in damages for copying features of the iPhone and iPad.

For more InsideCounsel coverage of the Apple-Samsung patent battle, read:

Apple seeks to ban eight Samsung smartphones

Apple beats Samsung in patent case

South Korean court rules Apple, Samsung guilty of patent infringement

Apple, Samsung CEOs talk but don’t reach settlement

ITC to review patent ruling against Apple

Apple tries to bar sale of new Samsung phone

Apple gains ground in patent suit against Google’s mobile operating system