Publicado

1997-07-01

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

Palabras clave:


Weak solution, class of uniqueness, partial differential equations, cauchy problema, generalized functions (es)

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Autores/as

  • Andrei I. Giniatoullin Universidad de los Andes

We consider the Cauchy problem for a system of partial differential equations that describes the dynamics of a viscous weakly stratified fluid in three dimensional space. The existence of solutions of the problem follows from an explicit representation of the Fourier transform studied by the author in previous works. Here we prove the uniqueness of the weak solution of the problem in the class of growing functions.

Cómo citar

APA

Giniatoullin, A. I. (1997). 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. Revista Colombiana de Matemáticas, 31(2), 71–76. https://revistas.unal.edu.co/index.php/recolma/article/view/33658

ACM

[1]
Giniatoullin, A.I. 1997. 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. Revista Colombiana de Matemáticas. 31, 2 (jul. 1997), 71–76.

ACS

(1)
Giniatoullin, A. I. 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.colomb.mat 1997, 31, 71-76.

ABNT

GINIATOULLIN, A. I. 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. Revista Colombiana de Matemáticas, [S. l.], v. 31, n. 2, p. 71–76, 1997. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33658. Acesso em: 29 may. 2024.

Chicago

Giniatoullin, Andrei I. 1997. «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». Revista Colombiana De Matemáticas 31 (2):71-76. https://revistas.unal.edu.co/index.php/recolma/article/view/33658.

Harvard

Giniatoullin, A. I. (1997) «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», Revista Colombiana de Matemáticas, 31(2), pp. 71–76. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33658 (Accedido: 29 mayo 2024).

IEEE

[1]
A. I. Giniatoullin, «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.colomb.mat, vol. 31, n.º 2, pp. 71–76, jul. 1997.

MLA

Giniatoullin, A. I. «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». Revista Colombiana de Matemáticas, vol. 31, n.º 2, julio de 1997, pp. 71-76, https://revistas.unal.edu.co/index.php/recolma/article/view/33658.

Turabian

Giniatoullin, Andrei I. «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». Revista Colombiana de Matemáticas 31, no. 2 (julio 1, 1997): 71–76. Accedido mayo 29, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/33658.

Vancouver

1.
Giniatoullin AI. 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.colomb.mat [Internet]. 1 de julio de 1997 [citado 29 de mayo de 2024];31(2):71-6. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33658

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