Cover Image

Global strong solutions for the triangular Shigesada-Kawasaki-Teramoto cross-diffusion system in three dimensions and parabolic regularisation for increasing functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bouton, Hector, Desvillettes, Laurent, Dietert, Helge
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Global strong solutions for the triangular Shigesada-Kawasaki-Teramoto cross-diffusion system in three dimensions and parabolic regularisation for increasing functions
by: Bouton, Hector, et al.
Published: (2025)

H{ö}lder regularity of parabolic equations with Dirichlet boundary conditions and application to reaction-diffusion and reaction-cross-diffusion systems
by: Bouton, Hector, et al.
Published: (2025)

Improved convergence rates in the fast-reaction approximation of the triangular Shigesada-Kawasaki-Teramoto system
by: Bouton, Hector
Published: (2026)

Simple proofs for the existence of smooth solutions to a reaction-diffusion system modeling reversible chemistry
by: Bouton, Hector, et al.
Published: (2026)

Study of a class of triangular starvation driven cross-diffusion systems
by: Brocchieri, Elisabetta, et al.
Published: (2024)

Global martingale solutions for stochastic Shigesada-Kawasaki-Teramoto population models
by: Braukhoff, Marcel, et al.
Published: (2022)

Fluctuation Correction and Global Solutions for the Stochastic Shigesada-Kawasaki-Teramoto System via Entropy-Based Regularization
by: Huber, Florian
Published: (2025)

About the entropic structure of detailed balanced multi-species cross-diffusion equations
by: Daus, Esther S., et al.
Published: (2018)

Perturbative global solutions of a large class of cross diffusion systems in any dimension
by: Desvillettes, L, et al.
Published: (2024)

The existence and instability of blowing-up steady states for the Shigesada-Kawasaki-Teramoto competition model with cross-diffusion
by: Kuto, Kousuke, et al.
Published: (2025)

On the equilibriation of chemical reaction-diffusion systems with degenerate reactions
by: Desvillettes, Laurent, et al.
Published: (2024)

Some remarks about the Link between the Fisher information and Landau or Landau-Fermi-Dirac entropy dissipation
by: Desvillettes, Laurent
Published: (2024)

Nash's $G$ bound for the Kolmogorov equation
by: Dietert, Helge, et al.
Published: (2025)

Nonlinear Kinetic Diffusion Equations with $p$-Growth
by: Dietert, Helge, et al.
Published: (2026)

Existence of solution of a triangular degenerate reaction-diffusion system
by: Das, Saumyajit
Published: (2024)

Global weak solutions of a Hamiltonian regularised Burgers equation
by: Guelmame, Billel, et al.
Published: (2024)

Fast reaction limit for a Leslie-Gower model including preys, meso-predators and top-predators
by: Laurent, Desvillettes, et al.
Published: (2024)

Convergence of a finite volume scheme and dissipative measure-valued-strong stability for a hyperbolic-parabolic cross-diffusion system
by: Hopf, Katharina, et al.
Published: (2023)

The Shigesada-Kawasaki-Teramoto model: conditional symmetries, exact solutions and their properties
by: Cherniha, Roman, et al.
Published: (2024)

Renormalised solutions to reaction-diffusion systems with interface conditions: Global existence and weak-strong uniqueness
by: Hopf, Katharina, et al.
Published: (2026)

Global solutions to quadratic systems of stochastic reaction-diffusion equations in space-dimension two
by: Leocata, Marta, et al.
Published: (2024)

Critical trajectories in kinetic geometry
by: Dietert, Helge, et al.
Published: (2025)

Nonlinear stability for active suspensions
by: Zelati, Michele Coti, et al.
Published: (2024)

Uniqueness of strong solutions for SDEs with Hölder diffusions
by: Tian, Rongrong, et al.
Published: (2015)

Global existence of a strong solution to the initial value problem for the Nernst-Planck-Navier-Stokes system in high space dimensions
by: Xu, Xiangsheng
Published: (2024)

Convergence to equilibrium for a degenerate triangular reaction-diffusion system
by: Das, Saumyajit, et al.
Published: (2024)

Weak and parabolic solutions of advection-diffusion equations with rough velocity field
by: Bonicatto, Paolo, et al.
Published: (2023)

Weak-strong uniqueness of the full coupled Navier-Stokes and Q-tensor system in dimension three
by: Yang, Fan, et al.
Published: (2025)

Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system
by: Cauvin-Vila, Jean, et al.
Published: (2023)

Global strong solutions to the compressible Navier--Stokes--Coriolis system for large data
by: Fujii, Mikihiro, et al.
Published: (2024)

Consistency for the surface diffusion flat flow in three dimensions
by: Cicalese, Marco, et al.
Published: (2025)

Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy
by: Wang, Yifu, et al.
Published: (2022)

Existence and regularity of solutions to parabolic-elliptic nonlinear systems
by: Picerni, Marco
Published: (2026)

Global existence of martingale solutions to stochastic keller-segel system with degenerate diffusion
by: Wang, Jinhuan, et al.
Published: (2025)

Global well-posedness and decay rates of strong solutions to the incompressible Vlasov-MHD system
by: Li, Fucai, et al.
Published: (2024)

Global and local existence of solutions for nonlinear systems of time-fractional diffusion equations
by: Feng, Dian, et al.
Published: (2024)

Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities
by: Matioc, Bogdan-Vasile, et al.
Published: (2024)

Existence of one class of global strong solution to the Cauchy problem for the three-dimensional incompressible Boussinesq system
by: Li, Rulv, et al.
Published: (2024)

Global existence of solutions to the fully parabolic chemotaxis system with logistic source under nonlinear Neumann boundary conditions
by: Le, Minh
Published: (2024)

Production of the Fisher information for the Landau-Coulomb equation with L1 initial data
by: Desvillettes, Laurent, et al.
Published: (2024)