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pro vyhledávání: '"Maulén, Christopher"'
Asymptotic stability of the fourth order $\phi^4$ kink for general perturbations in the energy space
Autor:
Maulén, Christopher, Muñoz, Claudio
The Fourth order $\phi^4$ model generalizes the classical $\phi^4$ model of quantum field theory, sharing the same kink solution. It is also the dispersive counterpart of the well-known parabolic Cahn-Hilliard equation. Mathematically speaking, the k
Externí odkaz:
http://arxiv.org/abs/2305.19222
Autor:
Alejo, Miguel A., Maulén, Christopher
We consider the decay problem for global solutions of the Skyrme and Adkins-Nappi equations. We prove that the energy associated to any bounded energy solution of the Skyrme (or Adkins-Nappi) equation decays to zero outside the light cone (in the rad
Externí odkaz:
http://arxiv.org/abs/2108.01163
Autor:
Kwak, Chulkwang, Maulén, Christopher
In this paper, we consider the Cauchy problem for $(abcd)$-Boussinesq system posed on one- and two-dimensional Euclidean spaces. This model, initially introduced by Bona, Chen, and Saut, describes a small-amplitude waves on the surface of an inviscid
Externí odkaz:
http://arxiv.org/abs/2102.01248
Autor:
Maulén, Christopher
We consider the generalized Good-Boussinesq model in one dimension, with power nonlinearity and data in the energy space $H^1\times L^2$. This model has solitary waves with speeds $-1
Externí odkaz:
http://arxiv.org/abs/2102.01151
Autor:
Maulén, Christopher
Publikováno v:
In Journal de mathématiques pures et appliquées September 2023 177:260-328
Autor:
Maulén, Christopher, Muñoz, Claudio
We consider the decay problem for the generalized improved (or regularized) Boussinesq model with power type nonlinearity, a modification of the originally ill-posed shallow water waves model derived by Boussinesq. This equation has been extensively
Externí odkaz:
http://arxiv.org/abs/1904.10129
In this paper, ordinary and exponential dichotomies are defined in differential equations with equations with piecewise constant argument of general type. We prove the asymptotic equivalence between the bounded solutions of a linear system and a pert
Externí odkaz:
http://arxiv.org/abs/1508.06154
Autor:
Kwak, Chulkwang, Maulén, Christopher
Publikováno v:
Journal of Dynamics & Differential Equations; Jun2024, Vol. 36 Issue 2, p1123-1152, 30p
Existence of almost automorphic solutions for abstract delayed differential equations is established. Using ergodicity, exponential dichotomy and Bi-almost automorphicity on the homogeneous part, sufficient conditions for the existence and uniqueness
Externí odkaz:
http://arxiv.org/abs/1411.3267
Autor:
Alejo, Miguel A.1 (AUTHOR), Maulén, Christopher2 (AUTHOR) cmaulen@dim.uchile.cl
Publikováno v:
Letters in Mathematical Physics. Oct2022, Vol. 112 Issue 5, p1-33. 33p.