Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics

Yuanfei Li; Shengzhong Xiao

Applications of Mathematics (2022)

  • Volume: 67, Issue: 1, page 103-124
  • ISSN: 0862-7940

Abstract

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In this paper, we consider an initial boundary value problem for the two-dimensional primitive equations of large scale oceanic dynamics. Assuming that the depth of the ocean is a positive constant, we establish rigorous a priori bounds of the solution to problem. With the aid of these a priori bounds, the continuous dependence of the solution on changes in the boundary terms is obtained.

How to cite

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Li, Yuanfei, and Xiao, Shengzhong. "Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics." Applications of Mathematics 67.1 (2022): 103-124. <http://eudml.org/doc/297418>.

@article{Li2022,
abstract = {In this paper, we consider an initial boundary value problem for the two-dimensional primitive equations of large scale oceanic dynamics. Assuming that the depth of the ocean is a positive constant, we establish rigorous a priori bounds of the solution to problem. With the aid of these a priori bounds, the continuous dependence of the solution on changes in the boundary terms is obtained.},
author = {Li, Yuanfei, Xiao, Shengzhong},
journal = {Applications of Mathematics},
keywords = {a priori bounds; primitive equation; continuous dependence},
language = {eng},
number = {1},
pages = {103-124},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics},
url = {http://eudml.org/doc/297418},
volume = {67},
year = {2022},
}

TY - JOUR
AU - Li, Yuanfei
AU - Xiao, Shengzhong
TI - Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics
JO - Applications of Mathematics
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 1
SP - 103
EP - 124
AB - In this paper, we consider an initial boundary value problem for the two-dimensional primitive equations of large scale oceanic dynamics. Assuming that the depth of the ocean is a positive constant, we establish rigorous a priori bounds of the solution to problem. With the aid of these a priori bounds, the continuous dependence of the solution on changes in the boundary terms is obtained.
LA - eng
KW - a priori bounds; primitive equation; continuous dependence
UR - http://eudml.org/doc/297418
ER -

References

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