"Weary resignation" refers to a feeling of giving up or accepting something without enthusiasm or energy due to being tired or worn out. Full definition
A spirit of weary resignation, heard in grunge, and more thoughtfully evoked by bands like Radiohead and Blur, increasingly seemed rock's default mode, punctuated here and there by fits of rage, fits that became more ridiculous than ever during the strange now that followed 9/11. (firstthings.com)
The body language of the surly teen — the curled lip, the upturned eyes, shrugged shoulders and weary resignation there's a better place to be — anywhere. (remonline.com)
The incongruity of the flawlessly cast classical bust with its expression of weary resignation and the sneaker delivers an effective jolt of awareness. (oneartworld.com)