Correo Electrónico
DNINFOA - SIA
Bibliotecas
Convocatorias
Identidad U.N.
Published
On some properties of the solutions of the problem modelling stratified ocean and atmosphere flows in the half-space
Sobre algunas propiedades asintóticas de las soluciones del problema de modelado estratificado de los flujos del océano y de la atmósfera en el semi-espacio
Keywords:
Partial differential equations, weak solution, Fourier transform, stratified fluid, internal waves, generalized functions (en)Ecuaciones en derivadas parciales, solución débil, la transformada de Fourier, líquido estratificado, ondas internas, funciones generalizadas (es)
Downloads
Abstract. We obtain a solution of the initial boundary value problem in the 3-dimensional half-space for a system of an exponentially stratified fluid in the gravity field. We prove the uniqueness of the weak solution in the class of growing functions. We also investigate the asymptotic behavior for the solution as t → ∞.
Para el sistema de ecuaciones en derivadas parciales que modela el movimiento del líquido exponencialmente estratificado en el campo gravitacional, se soluciona el problema de frontera de valor inicial para el semi-espacio tridimensional. Se prueba la unicidad de la solución débil en una clase de funciones crecientes. También se investiga el comportamiento asintótico de la solución cuando t → ∞.
References
A. Brekhovskih and V. Goncharov, Introduction to the mechanics of continuous media, Nauka, Moscow, 1982, (in Russian).
E. Copson, Asymptotic expansions, CUP, Cambridge, 2004.
A. Giniatouline, Essential spectrum of the operators generated by PDE systems of stratified fluids and Lp-estimates for the solutions, Internat.T. of Computer Sci. and Appl. 2 (2005), 38-56.
A. Giniatoulline, On the uniqueness of solutions in the class of increasing functions of a system describing the dynamics of a viscous weakly stratified fluid in three dimensional space, Rev. Colombiana de Mat. 3 1 (1997), 71- 76.
A. Giniatoulline and C. Rincon, On the spectrum of normal vibrations for stratified flows, Computational Fluid Dynamics J. 13 (2004), no. 2, 273-281.
A. Giniatoulline and O. Zapata, On some qualitative properties of stratified flows, Contemporary Mathematics 434 (2007), 193-204.
V. Maslennikova, About the asymptotic decay of the solutions of Sobolev viscous system, Mat. Sbornik 134 (1973), 49-60.
V. Maslennikova and A. Giniatoulline, On the intrusion problem in a viscous stratified fluid fot three space variables, Math. Notes 5 1 (1992), 374- 379.
I. Sneddon, The use of integral transforms, McGraw-Hill, N. Y., 1975.
S. Sobolev, On a new problem of mathematical physics, Izv. Akad. Nauk. Ser. Mat 18 (1954), 3-50, (in Russian).
