Cover Image

Justification of the Lugiato-Lefever model from a damped driven $ϕ^4$ equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Akbar, Fiki T., Gunara, Bobby E., Susanto, Hadi
Format:	Preprint
Published:	2018
Subjects:	Mathematical Physics Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Local and Global Existence of Solutions to Scalar Equations on Spatially Flat Universe as a Background with Non-minimal Coupling
by: Akbar, Fiki T., et al.
Published: (2018)

The Global Existence and Uniqueness of Maxwell-Chern-Simons-Higgs Equation in (2+1) Dimensions
by: Mulyanto, et al.
Published: (2025)

Uniform Energy Bound for Maxwell-Higgs Equations on Reissner-Nordström Spacetimes
by: Mulyanto, et al.
Published: (2024)

Nonlinear Subharmonic Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves
by: Haragus, Mariana, et al.
Published: (2023)

Nonlinear Modulational Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves
by: Haragus, Mariana, et al.
Published: (2021)

Coulomb Sectors and Scattering for Maxwell-Higgs Fields on Schwarzschild and Slowly Rotating Kerr Backgrounds
by: Gunara, Bobby Eka, et al.
Published: (2026)

Threshold asymptotics and decay for massive Maxwell on subextremal Reissner--Nordström
by: Gunara, Bobby Eka
Published: (2026)

Talbot effect for the third order Lugiato-Lefever equation
by: Cho, Gunwoo, et al.
Published: (2023)

Threshold-Sharp Conformal Scalar Stability on Carter Slabs and Black Hole Exteriors
by: Gunara, Bobby Eka
Published: (2026)

Massless Maxwell fields on sub-extremal Kerr-Newman exteriors
by: Gunara, Bobby Eka, et al.
Published: (2026)

Existence and stability of soliton-based frequency combs in the Lugiato-Lefever equation
by: Bengel, Lukas, et al.
Published: (2025)

Energy scattering for the unsteady damped nonlinear Schrodinger equation
by: Hamouda, Makram, et al.
Published: (2023)

Semigroup decay for the wave equation with unbounded damping
by: Arnal, Antonio, et al.
Published: (2026)

Conservation laws and variational structure of damped nonlinear wave equations
by: Anco, Stephen C., et al.
Published: (2022)

Nonlinear dynamics of periodic Lugiato-Lefever waves against sums of co-periodic and localized perturbations
by: Alexopoulos, Joannis
Published: (2025)

On the kink-kink collision problem of for the $ϕ^{6}$ model with low speed
by: Moutinho, Abdon
Published: (2022)

Global Existence and Completeness of Classical Solutions in Higher Dimensional Einstein-Klein-Gordon System
by: Wijayanto, Mirda Prisma, et al.
Published: (2023)

Classical Solutions of Higher Dimensional Einstein-Maxwell-Higgs System With Nontrivial Potential: Global Existence and Completeness
by: Wijayanto, Mirda Prisma, et al.
Published: (2024)

Radiation damping of the soliton internal mode in 1D quadratic Klein-Gordon equation
by: Bizoń, Piotr, et al.
Published: (2026)

Remarks on Landau damping
by: Nguyen, Toan T.
Published: (2025)

Landau damping and survival threshold
by: Nguyen, Toan T.
Published: (2023)

Geometry of wave damping on the torus
by: Datchev, Kiril, et al.
Published: (2025)

Hölder damping for fractional wave equations
by: Wang, Jian, et al.
Published: (2025)

Spectrum of the wave equation with Dirac damping on a non-compact star graph
by: Krejcirik, David, et al.
Published: (2022)

Nonlinear Landau damping and wave operators in sharp Gevrey spaces
by: Ionescu, A. D., et al.
Published: (2024)

Linear Landau damping for the Vlasov-Maxwell system in $\mathbb{R}^3$
by: Han-Kwan, Daniel, et al.
Published: (2024)

Topological interface modes in systems with damping
by: Alexopoulos, Konstantinos, et al.
Published: (2024)

Landau damping below survival threshold
by: Nguyen, Toan T.
Published: (2024)

Nonlinear Landau damping for the Vlasov-Poisson system in $\R^3$: the Poisson equilibrium
by: Ionescu, Alexandru, et al.
Published: (2022)

Numerical simulation of Lugiato-Lefever equation for Kerr combs generation in Fabry-Perot resonators
by: Ali, Mouhamad Al Sayed, et al.
Published: (2025)

A toy model for frequency cascade in the nonlinear Schrodinger equation
by: Carles, Rémi, et al.
Published: (2025)

Finite time energy cascade for mixed $3-$ and $4-$wave kinetic equations
by: Staffilani, Gigliola, et al.
Published: (2025)

Well-posedness for Ohkitani model and long-time existence for surface quasi-geostrophic equations
by: Chae, Dongho, et al.
Published: (2023)

Self-consistent equations and quantum diffusion for the Anderson model
by: Black, Adam, et al.
Published: (2025)

A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state
by: Luczak, Brian B.
Published: (2024)

Instability of singular equilibria of a wave kinetic equation
by: Escobedo, Miguel, et al.
Published: (2024)

On a novel gradient flow structure for the aggregation equation
by: Esposito, A., et al.
Published: (2021)

Global regularity for the Navier-Stokes equations with application to global solvability for the Euler equations
by: Ri, Myong-Hwan
Published: (2026)

A convergence result for a local planning problem for mean field games and rigorous proof of a Freidlin-Ventchel-type Large Deviations Principle for the $1+1$ KPZ equation
by: Lions, Pierre-Louis, et al.
Published: (2024)

On the derivation of the linear Boltzmann equation from the nonideal Rayleigh gas
by: Fougères, Florent Thomas
Published: (2024)