@misc{nokey,

title = {Refined stability estimates for mixed problems by exploiting semi norm arguments},

author = {Nicolas Gauger and Alexander Linke and Christian Merdon},

url = {https://arxiv.org/abs/2506.11566},

year  = {2025},

date = {2025-06-16},

urldate = {2025-06-16},

abstract = {Refined stability estimates are derived for classical mixed problems. The novel emphasis is on the importance of semi norms on data functionals, inspired by recent progress on pressure-robust discretizations for the incompressible Navier-Stokes equations. In fact, kernels of these semi norms are shown to be connected to physical regimes in applications and are related to some well-known consistency errors in classical discretizations of mixed problems. Consequently, significantly sharper stability estimates for solutions close to these physical regimes are obtained.},

howpublished = {arXiv},

keywords = {},

pubstate = {published},

tppubtype = {misc}

}