$H^1$ regularity of the minimisers for the inviscid total variation and Bingham fluid problems for $H^1$ data (bibtex)

by Bouchut, F., Carstensen, C. and Ern, A.

Reference:

Bouchut, F., Carstensen, C. and Ern, A.: H^1 regularity of the minimisers for the inviscid total variation and Bingham fluid problems for H^1 data, 2025. (re-submitted (Nonlinear Analysis))

Bibtex Entry:

@unpublished{bouchut:hal-03284591,
  TITLE = {{$H^1$ regularity of the minimisers for the inviscid total variation and Bingham fluid problems for $H^1$ data}},
  AUTHOR = {Bouchut, F. and Carstensen, C. and Ern, A. },
  URL = {https://hal.science/hal-03284591},
  NOTE = {re-submitted (Nonlinear Analysis)},
  YEAR = {2025},
  MONTH = Feb,
  KEYWORDS = {Inviscid Bingham fluid model ; Mosolov problem ; Total variation minimization ; Regularity ; Euler-Lagrange equations ; Relaxed Dirichlet boundary conditions},
  PDF = {https://hal.science/hal-03284591v2/file/TVMregularity.pdf},
  HAL_ID = {hal-03284591},
  HAL_VERSION = {v2},
}