| dc.creator | Pava J.A. | |
| dc.date | 1999 | |
| dc.date | 2015-06-30T15:21:49Z | |
| dc.date | 2015-11-26T15:28:18Z | |
| dc.date | 2015-06-30T15:21:49Z | |
| dc.date | 2015-11-26T15:28:18Z | |
| dc.date.accessioned | 2018-03-28T22:37:01Z | |
| dc.date.available | 2018-03-28T22:37:01Z | |
| dc.identifier | | |
| dc.identifier | Advances In Differential Equations. , v. 4, n. 4, p. 457 - 492, 1999. | |
| dc.identifier | 10799389 | |
| dc.identifier | | |
| dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-0005651389&partnerID=40&md5=c3786b9e69196a6bcdd2fdc85f49f0cd | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/101155 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/101155 | |
| dc.identifier | 2-s2.0-0005651389 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1261565 | |
| dc.description | The Cauchy problem for the following Boussinesq system, is considered. It is showed that this problem is locally well-posed in Hs(ℝ) × Hs-1(ℝ) for any s > 3/2. The proof involves parabolic regularization and techniques of Bona-Smith. It is also determined that the special solitary-wave solutions of this system are orbitally stable for the entire range of the wave speed. Combining these facts we can extend globally the local solution for data sufficiently close to the solitary wave. | |
| dc.description | 4 | |
| dc.description | 4 | |
| dc.description | 457 | |
| dc.description | 492 | |
| dc.description | Abdelouhad, L., Bona, J.L., Fellam, M., Saut, J.C., Non-local models for nonlinear dispersives waves (1989) Phys.D., 40, pp. 360-392 | |
| dc.description | Albert, J.P., Positivity properties, and stability solitary-wave solutions of model equations for long waves (1992) Comm. P.D.E., 17, pp. 1-26 | |
| dc.description | Albert, J.P., Bona, J.L., Total positivity, and the stability of internal waves in stratified fluids of finite depth (1991) IMA journal of App. Math., 46, pp. 1-19 | |
| dc.description | Angulo, J., Linares, F., Global existence of solutions of a nonlinear dispersive model (1995) J. Math. Analy., and Appl., 195, pp. 797-808 | |
| dc.description | Benjamin, T., The stability of solitary waves (1972) Proc. R. Soc. Lond. A., 328, pp. 153-183 | |
| dc.description | Beresticky, H., Lions, P., Nonlinear scalar field equation I (1983) Arch. Rat. Mech. Anal., 82, pp. 313-346 | |
| dc.description | Berezin, F.A., Shubin, M.A., (1991) The Schrödinger equation, , Mathematics, and its Application. Kluwer Academic | |
| dc.description | Bergh, J., Lofstrom, J., (1980) Interpolation Spaces, , Springer | |
| dc.description | Bona, J.L., Sachs, R., Global existence of smooth solutions, and stability of solitary waves for a generalized Boussinesq equation (1988) Commun. Math. Phys., 118, pp. 15-29 | |
| dc.description | Bona, J.L., Saut, J.-C., Toland, J.F., Boussinesq equations, and other systems for small-amplitude long waves in nonlinear dispersive media, , to appear | |
| dc.description | Bona, J.L., Smith, R., The initial-value problem for the Korteweg-de Vries equation (1975) Philos. Trans. Roy. Soc. London Ser., A 278, pp. 555-604 | |
| dc.description | Bona, J.L., Souganidis, P., Strauss, W., Stability, and instability of solitary waves of Korteweg-de Vries type (1987) Proc. R. Soc. Lond. A., A 411, pp. 395-412 | |
| dc.description | Brezis, H., Gallouet, T., Nonlinear Schrödinger evolution equations (1980) Nonlinear Anal. TMA., 4, pp. 677-681 | |
| dc.description | Burington, R.S., (1973) Handbook of Mathematical Tables, and Formulas, , McGraw-Hill,New York | |
| dc.description | Coddington, E.A., Levinson, N., (1955) Theory of Ordinary Differential Equations, , McGraw-Hill, New York | |
| dc.description | Glazman, I.M., (1965) Direct methods of qualitative spectral analysis of singular differential operators, , Jerusalem, IPST | |
| dc.description | Grillakis, M., Shatah, J., Strauss, W., Stability theory of solitary waves in the presence of symmetry I. (1987) J. Funct. Anal., 74, pp. 160-197 | |
| dc.description | Hirota, R., Classical Boussinesq equation is a reduction of the modified KP equation (1985) J. Phys. Soc. Jpn., 54, pp. 2409-2415 | |
| dc.description | Hirota, R., Nakamura, A., A new example of explode-decay solitary waves in onedimension (1985) J. Phys. Soc. Jpn., 54, pp. 491-499 | |
| dc.description | Iorio, R.S., On the Cauchy problem for the Benjamin-Ono equation (1986) Comm. P.D.E, 11, pp. 1031-1081 | |
| dc.description | Iorio, R.J., (1990) Functional-Analytic Methods for P.D.E. Lectures Notes in Math., 145, pp. 104-121. , KdV B.O. and friends in weighted Sobolev spaces | |
| dc.description | Iorio, R.J., Nunes, W.L., (1991) Introdução às Equações de Evolução Não lineares, , 18 Colóquio Brasileiro de Matemática | |
| dc.description | Kato, T., On the Cauchy problem for the (generalized) Korteweg-de Vries equation (1983) Studies in Appl. Math. Adv. in Math. Suppl. Studies, 8, pp. 93-128 | |
| dc.description | Kato, T., Non-stationary flows of viscous, and ideal fluids (1972) J. Funct. Anal., 9 (3), pp. 29-36 | |
| dc.description | Kato, T., On the Korteweg-de Vries equation (1979) Manuscripta Math., 28, pp. 89-99 | |
| dc.description | Kato, T., Quasi-linear equations of evolution with application to partial differential equations (1975) Spectral theory, and Differential equations, Lectures Notes in Mathematics, Springer-Verlag, 448, pp. 25-70 | |
| dc.description | Kato, T., Fujita, H., On the non-stationary Navier-Stokes system (1962) Red. Sem. Mat. Uni. Padova., 32, pp. 243-260 | |
| dc.description | Kato, T., Ponce, G., Commutator estimates, and Euler, and Navier-Stokes equation (1988) Comm. Pure. Appl. Math., 41, pp. 891-907 | |
| dc.description | Kaup, D.J., A higher-order water-wave equation, and the method for solving it (1975) Prog. Theor. Phys., 54, pp. 396-408 | |
| dc.description | Matveev, V.B., Yavor, M.I., Solutions presque périodiques et a N-solitons de l'équation hydrodynamique non linéaire de Kaup (1979) Ann. Inst. Henri Poincaré-Physique théorique, 31 (1), pp. 25-41 | |
| dc.description | Pazy, A., (1983) Semigroups of linear operators, and applications to P.D.E., , Springer-Verlag | |
| dc.description | Pego, R.L., Weinstein, M.I., Asymptotic stability of solitary waves (1994) Comm. Math. Phys., 164, pp. 305-349 | |
| dc.description | Ponce, G., Smoothing properties of solutions to Benjamin-Ono equation (1990) Lectures Notes in Pure, and App. Math., 122, pp. 667-679. , (Ed.C.Sadosky) Marcel Dekker | |
| dc.description | Reed, S., Simon, B., (1975) Methods of Modern Mathematical Physics: Analysis of Operator AP, 5 (4) | |
| dc.description | Sachs, R.L., On the integrable variant of the Boussinesq system (1988) Physica D, 30, pp. 1-28 | |
| dc.description | Saut, J.C., Sur quelques généralisations de l'équation de Korteweg-de Vries (1979) J. Math. Pure Appl., 58, pp. 21-61 | |
| dc.description | Saut, J.C., Teman, R., Remarks on the Korteweg-de Vries equation (1976) Israel J. of Math., 24, pp. 78-87 | |
| dc.description | Souganidis, P., Strauss, W., Instability of a class of dispersive solitary waves (1990) Proc. Roy. Soc. of Edinburgh, 114 A, pp. 195-212 | |
| dc.description | Tom, M., Existence of global solutions for nonlinear dispersive equations (1993) Nonlinear Analysis, TMA, 20, pp. 175-189 | |
| dc.description | Weinstein, M., Existence, and dynamic stability of solitary-wave solutions of equations arising in long waves propagation (1987) Comm. P.D.E., 12, pp. 1133-1173 | |
| dc.description | Whitham, G.B., (1974) Linear, and nonlinear waves, , Wiley-Interscience, New York | |
| dc.description | Yosida, K., (1966) Functional Analysis, , Springer-Verlag | |
| dc.language | en | |
| dc.publisher | | |
| dc.relation | Advances in Differential Equations | |
| dc.rights | fechado | |
| dc.source | Scopus | |
| dc.title | On The Cauchy Problem For A Boussinesq-type System | |
| dc.type | Artículos de revistas | |
