Symmetry of internal waves

Nonlinear Analysis, Theory, Methods and Applications

Volumn 28, Issue 1, 1997, Pages 87-102

  Maia, Liliane A ^a  

^a UNIVERSITY OF BRASILIA   (Brazil)

Author keywords

Alexandroff method; Hydrodynamics; Maximum principle; Moving planes; Solitary wave solution; Symmetry

Indexed keywords

BOUNDARY CONDITIONS; DESCRIBING FUNCTIONS; FLOW OF FLUIDS; MAXIMUM PRINCIPLE; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

ALEXANDROFF METHOD; INTERNAL WAVE SYMMETRY; MOVING PLANES; SOLITARY WAVE SOLUTION;

HYDRODYNAMICS;

EID: 0030784238     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00146-M     Document Type: Article

References (13)

1. FRIEDRICHS K. O. & HYERS D. H., The existence of solitary waves, Communs pure appl. Math. 7, 517-550 (1954).
2. CRAIG W. & STERNBERG P., Symmetry of solitary waves, Communs partial diff. Eqns 13(5), 603-633 (1988).
3. GIDAS B., NI W. M. & NIRENBERG L., Symmetry and related properties via the maximum principle, Communs math. Phys. 68, 209-243 (1979).
4. BERESTICKY H. & NIRENBERG L., Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains, in Analysis, pp. 115-164. Academic Press, New York (1990).
5. AGMON S. & NIRENBERG L., Properties of solutions of ordinary diferential equations in Banach space, Communs pure appl. Math. 16, 121-239 (1963).
6. PAZY A., Asymptotic expansions of solutions of ordinary differential equations in Hubert space, Archs ration. Mech. Analysis 24, 193-218 (1967).
7. CONGMING LI, Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains, Communs partial diff. Eqns 16(4, 5), 585-615 (1991).
8. TURNER R. E. L., Internal waves in fluids with rapidly varying density, Annali Scu. norm. sup. Pisa VIII(4), 513-573 (1981).
9. CRAIG W. & STERNBERG P., Symmetry of free surface flows, unpublished manuscript.
10. AMICK C. J. & TURNER R. E. L., A global theory of internal solitary waves in two-fluid systems, Trans. Am. math. Soc. 298(2), 431-483 (1986).
11. DE ALMEIDA MAIA L., Problems on waves in stratified fluids, Ph.D. thesis, University of Wisconsin at Madison (1992).
12. GILBARG D. & TRUDINGER N. S., Elliptic Partial Differential Equations. Academic Press, New York (1968).
13. COURANT R. & HILBERT D., Methods of Mathematical Physics, Wiley Classics Library, Vol. 1. Wiley Interscience, New York (1962).