Crossref Citations
This article has been cited by the following publications. This list is generated based on data provided by Crossref.
Grenier, Emmanuel
2000.
On the nonlinear instability of Euler and Prandtl equations.
Communications on Pure and Applied Mathematics,
Vol. 53,
Issue. 9,
p.
1067.
Brenier, Yann
2003.
Remarks on the derivation of the hydrostatic Euler equations.
Bulletin des Sciences Mathématiques,
Vol. 127,
Issue. 7,
p.
585.
Brenier, Yann
2003.
Vol. 2,
Issue. ,
p.
55.
Grenier, E.
2005.
Vol. 3,
Issue. ,
p.
245.
Marche, Fabien
2007.
Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects.
European Journal of Mechanics - B/Fluids,
Vol. 26,
Issue. 1,
p.
49.
Renardy, Michael
2009.
Ill-posedness of the Hydrostatic Euler and Navier–Stokes Equations.
Archive for Rational Mechanics and Analysis,
Vol. 194,
Issue. 3,
p.
877.
Chiron, D.
and
Rousset, F.
2009.
Geometric Optics and Boundary Layers for Nonlinear-Schrödinger Equations.
Communications in Mathematical Physics,
Vol. 288,
Issue. 2,
p.
503.
Kukavica, Igor
Temam, Roger
Vicol, Vlad
and
Ziane, Mohammed
2010.
Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data.
Comptes Rendus Mathematique,
Vol. 348,
Issue. 11-12,
p.
639.
Kukavica, Igor
Temam, Roger
Vicol, Vlad C.
and
Ziane, Mohammed
2011.
Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain.
Journal of Differential Equations,
Vol. 250,
Issue. 3,
p.
1719.
Renardy, Michael
2011.
On Hydrostatic Free Surface Problems.
Journal of Mathematical Fluid Mechanics,
Vol. 13,
Issue. 1,
p.
89.
Masmoudi, Nader
and
Wong, Tak Kwong
2012.
On the H s Theory of Hydrostatic Euler Equations.
Archive for Rational Mechanics and Analysis,
Vol. 204,
Issue. 1,
p.
231.
Renardy, Michael
2012.
Well-Posedness of the Hydrostatic MHD Equations.
Journal of Mathematical Fluid Mechanics,
Vol. 14,
Issue. 2,
p.
355.
Brenier, Yann
2013.
Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics.
Calculus of Variations and Partial Differential Equations,
Vol. 47,
Issue. 1-2,
p.
55.
Han-Kwan, Daniel
and
Hauray, Maxime
2015.
Stability Issues in the Quasineutral Limit of the One-Dimensional Vlasov–Poisson Equation.
Communications in Mathematical Physics,
Vol. 334,
Issue. 2,
p.
1101.
Bristeau, Marie-Odile
Mangeney, Anne
Sainte-Marie, Jacques
and
Seguin, Nicolas
2015.
An energy-consistent depth-averaged Euler system: Derivation and properties.
Discrete and Continuous Dynamical Systems - Series B,
Vol. 20,
Issue. 4,
p.
961.
Strain, Robert M.
and
Wong, Tak Kwong
2016.
Axisymmetric flow of ideal fluid moving in a narrow domain: A study of the axisymmetric hydrostatic Euler equations.
Journal of Differential Equations,
Vol. 260,
Issue. 5,
p.
4619.
Han-Kwan, Daniel
and
Nguyen, Toan T.
2016.
Ill-Posedness of the Hydrostatic Euler and Singular Vlasov Equations.
Archive for Rational Mechanics and Analysis,
Vol. 221,
Issue. 3,
p.
1317.
Allgeyer, Sebastien
Bristeau, Marie-Odile
Froger, David
Hamouda, Raouf
Jauzein, V.
Mangeney, Anne
Sainte-Marie, Jacques
Souillé, Fabien
and
Vallée, Martin
2019.
Numerical approximation of the 3D hydrostatic Navier–Stokes system with free surface.
ESAIM: Mathematical Modelling and Numerical Analysis,
Vol. 53,
Issue. 6,
p.
1981.
Gargano, F.
Sammartino, M.
and
Sciacca, V.
2019.
Numerical study of the primitive equations in the small viscosity regime.
Ricerche di Matematica,
Vol. 68,
Issue. 2,
p.
383.
Cao, Chongsheng
Lin, Quyuan
and
Titi, Edriss S.
2020.
On the Well-Posedness of Reduced 3D Primitive Geostrophic Adjustment Model with Weak Dissipation.
Journal of Mathematical Fluid Mechanics,
Vol. 22,
Issue. 3,