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pro vyhledávání: '"Cezar I. Kondo"'
Autor:
Cezar I. Kondo, Alex F. Rossini
Publikováno v:
Electronic Journal of Differential Equations, Vol 2013, Iss 39,, Pp 1-14 (2013)
In this work we show the existence existence and uniqueness of traveling waves for diffusive-dispersive conservation laws with flux function in $C^{1}(mathbb{R})$, by using phase plane analysis. Also we estimate the domain of attraction of the equili
Externí odkaz:
https://doaj.org/article/3385750b40284452bbe89ac7a2f71b6b
Autor:
Cezar I. Kondo, Ronaldo B. Pes
Publikováno v:
Applied Mathematics & Optimization. 84:2985-3024
We consider the initial value problem (IVP) associated to a coupled system of Kawahara/KdV type equations. We prove the well-posedness results for given data in a Gevrey spaces. The proof relies on estimates in space-time norms adapted to the linear
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 61:623-646
In this paper we extend to Kawahara type equations a uniqueness result obtained by C. E. Kenig, G. Ponce, and L. Vega for KdV type equations. We prove that, under certain decay's conditions, the null solution is the unique solution.
Publikováno v:
Nonlinear Analysis: Real World Applications. 34:563-573
In this paper the Green’s function method and results about fixed point are used to get existence results on periodic traveling wave solution for non-homogeneous problems of generalized versions of the BBM and KdVB equations. It is shown through th
Autor:
Cezar I. Kondo, Claudete M. Webler
Publikováno v:
Applicable Analysis. 95:503-523
We consider conservation laws with discontinuous flux, which are regularized with generalized BBM-Burgers equations. We study the convergence of one sequence of solutions of these equations for one solution of the associated conservation law. In the
Autor:
Claudete M. Webler, Cezar I. Kondo
Publikováno v:
Applicable Analysis. 88:977-995
We study the global existence of solutions for certain equations of the form as δ > 0 and γ n > 0, n = 1, …, N approach zero, and f is a sufficiently smooth function satisfying certain appropriate assumptions. We consider solutions of hyperbolic
Autor:
Claudete M. Webler, Cezar I. Kondo
Publikováno v:
Acta Applicandae Mathematicae. 111:45-64
We study the global existence of solutions for the multidimensional generalized BBM-Burgers equations of the form $$u_t+\sum_{j=1}^{d}f_j(u)_{x_j}=\delta\sum_{j=1}^{d}u_{x_jx_jt}+\sum_{j=1}^{d}\Biggl(\sum_{n=1}^{N}(-1)^{n+1}\gamma_n\partial_{x_j}^{2n
Autor:
Cezar I. Kondo, Vladimir Shelukhin
Publikováno v:
Journal of Hyperbolic Differential Equations. :693-711
A notion of entropy quasisolution is introduced for the Euler equations of isothermal gas flows. Such a solution is obtained by means of nonlinear parabolic approximation with a small parameter ε. Compensated compactness argument is applied to justi
Autor:
Cezar I. Kondo, Claudete M. Webler
Publikováno v:
Applicable Analysis. 87:1085-1101
We study the global existence of solutions for certain equations of the form u t + f(u) x = γB(u x ) x + δu xxt − αu xxxx , as γ > 0, δ > 0 and α > 0 aproach zero, and f and B are sufficiently smooth functions satisfying certain appropriate a
Autor:
Philippe G. LeFloch, Cezar I. Kondo
Publikováno v:
SIAM Journal on Mathematical Analysis. 33:1320-1329
We consider solutions of hyperbolic conservation laws regularized with vanishing diffusion and dispersion terms. Following a pioneering work by Schonbek, we establish the convergence of the regularized solutions toward discontinuous solutions of the