Cover Image

Smoothness of Inertial Manifold for the Burgers Equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Niu, Ziqi, Li, Xinhua, Sun, Chunyou, Yang, Xiaoqing
Format:	Preprint
Published:	2026
Subjects:	Dynamical Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Data-Driven Modeling and Forecasting of Chaotic Dynamics on Inertial Manifolds Constructed as Spectral Submanifolds
by: Liu, Aihui, et al.
Published: (2023)

The Cohomological Equation for Jointly Integrable Partially Hyperbolic Diffeomorphisms on 3-Manifolds
by: Li, Wenchao, et al.
Published: (2025)

Observability and State Estimation for Smooth and Nonsmooth Differential Algebraic Equation Systems
by: Abdelfattah, Hesham, et al.
Published: (2025)

The Burgers-FKPP advection-reaction-diffusion equation with cut-off
by: Popovic, Nikola, et al.
Published: (2024)

Invariant Manifolds for Random Parabolic Evolution Equations with almost sectorial operators
by: Varzaneh, M. Ghani, et al.
Published: (2024)

Lyapunov Stability for nonautonomous systems on Manifolds
by: Deng, Li, et al.
Published: (2026)

Ergodicity for the randomly forced Korteweg-de Vries-Burgers equation
by: Gao, Peng
Published: (2025)

Traveling wave solutions for the generalized Burgers-Fisher equation
by: Iagar, Razvan Gabriel, et al.
Published: (2025)

Transonic Buffet Modeling via Invariant Manifolds
by: Vojković, Tea, et al.
Published: (2026)

Melnikov Analysis of Deterministic and Stochastic Manifold Splitting in the Kuramoto--Sivashinsky Equation
by: Datta, Sumita
Published: (2026)

Identification and Computation of Slow Manifolds Using the Isostable Coordinate System
by: Wilson, Dan
Published: (2025)

A note on the bounded orbit conjecture
by: Shi, Enhui, et al.
Published: (2025)

Pushed fronts in a Fisher-KPP-Burgers system using geometric desingularization
by: Holzer, Matt, et al.
Published: (2022)

Smooth Models of Fibered Partially Hyperbolic Systems
by: DeWitt, Jonathan, et al.
Published: (2025)

Learning Nonlinear Dynamics Using Kalman Smoothing
by: Stevens-Haas, Jacob, et al.
Published: (2024)

A Smooth, Recurrent, Non-Periodic Viscosity Solution of the Hamilton-Jacobi Equation
by: Charfi, Skander
Published: (2025)

Extinction of multiple shocks in the modular Burgers equation
by: Pelinovsky, Dmitry E., et al.
Published: (2022)

Smooth Models for Certain Fibered Partially Hyperbolic Systems
by: Doucette, Meg
Published: (2022)

One-dimensional Piecewise Smooth Rational Degree Maps
by: Lima, Maurício Firmino Silva, et al.
Published: (2024)

Linearizations of periodic point free distal homeomorphisms on the annulus
by: Shi, Enhui, et al.
Published: (2024)

The structure of periodic point free distal homeomorphisms on the annulus
by: Shi, Enhui, et al.
Published: (2024)

The Existence of Full-Dimensional KAM tori for one-dimensional nonlinear Klein-Gordon equation
by: Cong, Hongzi, et al.
Published: (2025)

Measurements and System Identification for the Characterization of Smooth Muscle Cell Dynamics
by: Ozturk, Dilan, et al.
Published: (2024)

On-Manifold Low-Thrust Rephasing of Quasi-Periodic Orbits
by: Down, Ian M., et al.
Published: (2025)

Smooth linearization of contractive random dynamical systems in continuous time
by: Vasylieva, Iryna
Published: (2025)

Transfer Operators for Stochastic Hybrid Systems on Manifolds with Guard-Induced Resets
by: C., Tejaswi K., et al.
Published: (2026)

Reduced Order Modeling of Nonlinear Dynamical Systems Using Slow Manifolds
by: Wilson, Dan
Published: (2025)

Dynamically Optimal Projection onto Slow Spectral Manifolds for Linear Systems
by: Kogelbauer, Florian, et al.
Published: (2025)

Tangent Space of the Stable And Unstable Manifold of Anosov Diffeomorphism on 2-Torus
by: Bonneto, Federico, et al.
Published: (2024)

Discontinuity of Lyapunov exponent in spaces of quasiperiodic cocycles: Smoothness vs Arithmetic
by: Liang, Jinhao, et al.
Published: (2025)

The Riccati Characteristic Equation
by: Frey, Douglas R.
Published: (2026)

Nonlinear Model Order Reduction of Power Grid Networks using Quadratic Manifolds
by: Farooq, Farhana, et al.
Published: (2025)

Quasi-periodic Swing via Weak KAM Theory
by: Niu, Xun, et al.
Published: (2023)

Smooth invariant foliations and Koopman eigenfunctions about stable equilibria of semiflows
by: Buza, Gergely
Published: (2024)

Fast Reactions and Slow Manifolds
by: Kuehn, Christian, et al.
Published: (2023)

Energy cascade and Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain
by: Gallone, Matteo, et al.
Published: (2024)

Koopman Spectral Analysis from Noisy Measurements based on Bayesian Learning and Kalman Smoothing
by: Zeng, Zhexuan, et al.
Published: (2024)

Properties of Lyapunov Subcenter Manifolds in Conservative Mechanical Systems
by: Wotte, Yannik P., et al.
Published: (2025)

Smooth Pseudo-Rotations Measure-Theoretically Isomorphic to Circle Rotations of Rationally Independent Angle
by: Benhenda, Mostapha
Published: (2026)

The Lyapunov Exponents of Hyperbolic Measures for $C^1$ Star Vector Fields on Three-dimensional Manifolds
by: Lu, Yuansheng, et al.
Published: (2025)