The 2D Gray-Scott system of equations: constructive proofs of existence of localized stationary patterns
Fuente:
arXiv
Guardado en:
| Autores principales: | Cadiot, Matthieu, Blanco, Dominic |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
Ejemplares similares
Proving the existence of localized patterns and saddle node bifurcations in 1D activator-inhibitor type models
por: Blanco, Dominic, et al.
Publicado: (2025)
por: Blanco, Dominic, et al.
Publicado: (2025)
Proving symmetry of localized solutions and application to dihedral patterns in the planar Swift-Hohenberg PDE
por: Blanco, Dominic, et al.
Publicado: (2025)
por: Blanco, Dominic, et al.
Publicado: (2025)
Constructive proofs of existence and stability of solitary waves in the Whitham and capillary-gravity Whitham equations
por: Cadiot, Matthieu
Publicado: (2024)
por: Cadiot, Matthieu
Publicado: (2024)
Stationary non-radial localized patterns in the planar Swift-Hohenberg PDE: constructive proofs of existence
por: Cadiot, Matthieu, et al.
Publicado: (2024)
por: Cadiot, Matthieu, et al.
Publicado: (2024)
Constructive existence proofs and stability of stationary solutions to parabolic PDEs using Gegenbauer polynomials
por: Breden, Maxime, et al.
Publicado: (2026)
por: Breden, Maxime, et al.
Publicado: (2026)
Existence proofs of traveling wave solutions on an infinite strip for the suspension bridge equation and proof of orbital stability
por: van der Aalst, Lindsey, et al.
Publicado: (2025)
por: van der Aalst, Lindsey, et al.
Publicado: (2025)
Proving the existence of localized patterns, periodic solutions, and branches of periodic solutions in the 1D Thomas model
por: Blanco, Dominic
Publicado: (2026)
por: Blanco, Dominic
Publicado: (2026)
Validated matrix multiplication transform for orthogonal polynomials with applications to computer-assisted proofs for PDEs
por: Cadiot, Matthieu, et al.
Publicado: (2024)
por: Cadiot, Matthieu, et al.
Publicado: (2024)
Stability analysis for localized solutions in PDEs and nonlocal equations on $\mathbb{R}^m$
por: Cadiot, Matthieu
Publicado: (2025)
por: Cadiot, Matthieu
Publicado: (2025)
Gray and black solitons of nonlocal Gross-Pitaevskii equations: existence, monotonicity and nonlocal-to-local limit
por: de Laire, André, et al.
Publicado: (2024)
por: de Laire, André, et al.
Publicado: (2024)
Proving periodic solutions and branches in the 2D Swift Hohenberg PDE with hexagonal and triangular symmetry
por: Blanco, Dominic
Publicado: (2026)
por: Blanco, Dominic
Publicado: (2026)
Rigorous computation of solutions of semi-linear PDEs on unbounded domains via spectral methods
por: Cadiot, Matthieu, et al.
Publicado: (2023)
por: Cadiot, Matthieu, et al.
Publicado: (2023)
Global Analysis of the Gray-Scott Model with Fractional-Classical Diffusion
por: Alam, Md Shah
Publicado: (2025)
por: Alam, Md Shah
Publicado: (2025)
Global Existence and Boundedness of Gray-Scott Model with Local and Nonlocal Diffusion
por: Alam, Md Shah
Publicado: (2025)
por: Alam, Md Shah
Publicado: (2025)
Dynamics of the reversible Gray-Scott model and convergence to its irreversible limit
por: Laurençot, Philippe, et al.
Publicado: (2025)
por: Laurençot, Philippe, et al.
Publicado: (2025)
Global and local existence of solutions for nonlinear systems of time-fractional diffusion equations
por: Feng, Dian, et al.
Publicado: (2024)
por: Feng, Dian, et al.
Publicado: (2024)
On the existence and regularity of weakly nonlinear stationary Boltzmann equations : a Fredholm alternative approach
por: Chen, I-Kun, et al.
Publicado: (2025)
por: Chen, I-Kun, et al.
Publicado: (2025)
Intermittent solutions of the stationary 2D surface quasi-geostrophic equation
por: Gismondi, Nicholas, et al.
Publicado: (2025)
por: Gismondi, Nicholas, et al.
Publicado: (2025)
Simple proofs for the existence of smooth solutions to a reaction-diffusion system modeling reversible chemistry
por: Bouton, Hector, et al.
Publicado: (2026)
por: Bouton, Hector, et al.
Publicado: (2026)
Well-posedness of a boundary hemivariational inequality for stationary and non-stationary 2D and 3D convective Brinkman-Forchheimer equations
por: Jindal, Jyoti, et al.
Publicado: (2025)
por: Jindal, Jyoti, et al.
Publicado: (2025)
Homoenergetic solutions for the Rayleigh-Boltzmann equation: existence of a stationary non-equilibrium solution
por: Miele, Nicola, et al.
Publicado: (2025)
por: Miele, Nicola, et al.
Publicado: (2025)
A proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation
por: Castro, Ángel, et al.
Publicado: (2024)
por: Castro, Ángel, et al.
Publicado: (2024)
Global existence for 2-D wave maps equation in exterior domains
por: Hou, Fei, et al.
Publicado: (2025)
por: Hou, Fei, et al.
Publicado: (2025)
Remarks on radial symmetry of stationary and uniformly-rotating solutions for the 2D Euler equation
por: Fan, Boquan, et al.
Publicado: (2025)
por: Fan, Boquan, et al.
Publicado: (2025)
Radial symmetry of stationary and uniformly-rotating solutions to the 2D Euler equation in a disc
por: Fan, Boquan, et al.
Publicado: (2024)
por: Fan, Boquan, et al.
Publicado: (2024)
Intermittent singular solutions of the stationary 2D Navier-Stokes equations in sharp Sobolev spaces
por: Ashkarian, Estepan, et al.
Publicado: (2025)
por: Ashkarian, Estepan, et al.
Publicado: (2025)
A short proof for the interior Hölder continuity of two-dimensional stationary Q-valued maps
por: Lin, Chun-Chi
Publicado: (2024)
por: Lin, Chun-Chi
Publicado: (2024)
Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities
por: Correia, Simão, et al.
Publicado: (2024)
por: Correia, Simão, et al.
Publicado: (2024)
Recent advances about the rigorous integration of parabolic PDEs via fully spectral Fourier-Chebyshev expansions
por: Cadiot, Matthieu, et al.
Publicado: (2025)
por: Cadiot, Matthieu, et al.
Publicado: (2025)
Improved existence time for the Whitham equation and a Whitham-Boussinesq system
por: Pilod, Didier, et al.
Publicado: (2025)
por: Pilod, Didier, et al.
Publicado: (2025)
Formal derivations from Boltzmann equation to three stationary equations
por: Fang, Zhendong
Publicado: (2024)
por: Fang, Zhendong
Publicado: (2024)
A Schauder theory for the Stokes equations in rough domains
por: Breit, Dominic
Publicado: (2023)
por: Breit, Dominic
Publicado: (2023)
Modelling formation of stationary periodic patterns in growing population of motile bacteria
por: Bucur, Valentina, et al.
Publicado: (2024)
por: Bucur, Valentina, et al.
Publicado: (2024)
On the local existence of solutions to the Navier-Stokes-wave system with a free interface
por: Kukavica, Igor, et al.
Publicado: (2022)
por: Kukavica, Igor, et al.
Publicado: (2022)
Regularity and existence for a mixed local-nonlocal parabolic equation with variable singularities and measure data
por: Das, Stuti
Publicado: (2025)
por: Das, Stuti
Publicado: (2025)
Asymptotic behaviour and existence of positive solutions for mixed local nonlocal elliptic equations with Hardy potential
por: Malhotra, Shammi, et al.
Publicado: (2025)
por: Malhotra, Shammi, et al.
Publicado: (2025)
Global existence and stability of solutions for the 2D non-resistive compressible MHD system
por: Zhu, Yi
Publicado: (2026)
por: Zhu, Yi
Publicado: (2026)
A proof of Onsager's conjecture for the stochastic 3D Euler equations
por: Lü, Huaxiang, et al.
Publicado: (2025)
por: Lü, Huaxiang, et al.
Publicado: (2025)
Three dimensional stationary solutions of the Electron MHD equations
por: Peng, Qirui
Publicado: (2024)
por: Peng, Qirui
Publicado: (2024)
An Lp-theory for fractional stationary Navier-Stokes equations
por: Jarrín, Oscar, et al.
Publicado: (2023)
por: Jarrín, Oscar, et al.
Publicado: (2023)
Ejemplares similares
-
Proving the existence of localized patterns and saddle node bifurcations in 1D activator-inhibitor type models
por: Blanco, Dominic, et al.
Publicado: (2025) -
Proving symmetry of localized solutions and application to dihedral patterns in the planar Swift-Hohenberg PDE
por: Blanco, Dominic, et al.
Publicado: (2025) -
Constructive proofs of existence and stability of solitary waves in the Whitham and capillary-gravity Whitham equations
por: Cadiot, Matthieu
Publicado: (2024) -
Stationary non-radial localized patterns in the planar Swift-Hohenberg PDE: constructive proofs of existence
por: Cadiot, Matthieu, et al.
Publicado: (2024) -
Constructive existence proofs and stability of stationary solutions to parabolic PDEs using Gegenbauer polynomials
por: Breden, Maxime, et al.
Publicado: (2026)