Academic Journal
Asymptotics of Solutions for Periodic Problem for the Korteweg-de Vries Equation with Landau Damping, Pumping and Higher Order Convective Non Linearity
| Τίτλος: | Asymptotics of Solutions for Periodic Problem for the Korteweg-de Vries Equation with Landau Damping, Pumping and Higher Order Convective Non Linearity |
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| Συγγραφείς: | Beatriz Juarez‐Campos, José de Jesús Villela‐Aguilar, Rafael Carreño‐Bolaños |
| Πηγή: | Journal of Nonlinear Mathematical Physics. 30:1316-1326 |
| Στοιχεία εκδότη: | Springer Science and Business Media LLC, 2023. |
| Έτος έκδοσης: | 2023 |
| Θεματικοί όροι: | Computer Networks and Communications, Energy-Critical Equations, Statistical and Nonlinear Physics, 16. Peace & justice, Korteweg-de Vries Equation, Computer science, 01 natural sciences, Dispersive Equations, Algorithm, Physics and Astronomy, Dynamics of Synchronization in Complex Networks, Nonlinear Dynamics, Discrete Solitons in Nonlinear Photonic Systems, Physical Sciences, Computer Science, 0103 physical sciences, FOS: Mathematics, Nonlinear Schrödinger Equation, Global Well-Posedness of Nonlinear Wave Equations, 0101 mathematics, Mathematical Physics, Mathematics |
| Περιγραφή: | We study the periodic problem for the Korteweg–de Vries equation with Landau damping, linear pumping and a higher-order convective nonlinearity $$\begin{aligned} \left\{ \begin{array}{c} w_{t}+w_{xxx}-\alpha w_{xx}=\beta w+\lambda w_{x}^{2}w_{xx},\text { }x\in \Omega ,t>0,\\ w(0,x)=\psi \left( x\right) ,\text { }x\in \Omega , \end{array} \right. \end{aligned}$$ w t + w xxx - α w xx = β w + λ w x 2 w xx , x ∈ Ω , t > 0 , w ( 0 , x ) = ψ x , x ∈ Ω , where, $$\alpha ,\beta >0,$$ α , β > 0 , $$\lambda \in \mathbb {R},$$ λ ∈ R , $$\Omega =\left[ -\pi ,\pi \right] .$$ Ω = - π , π . We assume that the initial data $$\psi \left( x\right) $$ ψ x are $$2\pi $$ 2 π - periodic. We prove the global existence of solutions and analyze their large-time asymptotics. |
| Τύπος εγγράφου: | Article Other literature type |
| Γλώσσα: | English |
| ISSN: | 1776-0852 |
| DOI: | 10.1007/s44198-023-00131-7 |
| DOI: | 10.60692/qcra9-ksv89 |
| DOI: | 10.60692/a10vx-64247 |
| Rights: | CC BY |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....c0f3648b7d6559a8567d404ccdca1c1f |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 17760852 |
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| DOI: | 10.1007/s44198-023-00131-7 |