Random perturbations for the chemotaxis-fluid model with fractional dissipation: global pathwise weak solutions
From MaRDI portal
Publication:6654836
DOI10.1214/24-ejp1230MaRDI QIDQ6654836
Publication date: 20 December 2024
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for mixed-type systems of PDEs (35M31)
Cites Work
- Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source
- Well-posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains
- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise
- A coupled chemotaxis-fluid model: global existence
- Degenerate parabolic stochastic partial differential equations: quasilinear case
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Itô's formula for the \(L _{p }\)-norm of stochastic \({W^{1}_{p}}\)-valued processes
- A user's guide to PDE models for chemotaxis
- Stochastically forced compressible fluid flows
- Martingale solutions for the three-dimensional stochastic nonhomogeneous incompressible Navier-Stokes equations driven by Lévy processes
- Martingale and stationary solutions for stochastic Navier-Stokes equations
- 2D stochastic Navier-Stokes equations driven by jump noise
- Stochastic MHD equations with fractional kinematic dissipation and partial magnetic diffusion in \(\mathbb{R}^2\)
- The microscopic derivation and well-posedness of the stochastic Keller-Segel equation
- Keller-Segel chemotaxis models: a review
- On global existence and blowup of solutions of stochastic Keller-Segel type equation
- Large time behavior in a fractional chemotaxis-Navier-Stokes system with logistic source
- The one-dimensional stochastic Keller-Segel model with time-homogeneous spatial Wiener processes
- Reaction-driven relaxation in three-dimensional Keller-Segel-Navier-Stokes interaction
- Nonuniqueness in law for stochastic hypodissipative Navier-Stokes equations
- Well-posedness and singularity formation for inviscid Keller-Segel-fluid system of consumption type
- Remarks on the non-uniqueness in law of the Navier-Stokes equations up to the J.-L. Lions' exponent
- 2D stochastic chemotaxis-Navier-Stokes system
- Global well-posedness for the two-dimensional coupled chemotaxis-generalized Navier-Stokes system with logistic growth
- Local and global pathwise solutions for a stochastically perturbed nonlinear dispersive PDE
- Local and global existence of pathwise solution for the stochastic Boussinesq equations with multiplicative noises
- The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in \(L^{1}\)
- A concise course on stochastic partial differential equations
- Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise
- On the uniqueness of solutions of stochastic differential equations. II
- Vorticity and Incompressible Flow
- Long-term behaviour in a chemotaxis-fluid system with logistic source
- Bacterial swimming and oxygen transport near contact lines
- Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
- Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Fourier Analysis and Nonlinear Partial Differential Equations
- COUPLED CHEMOTAXIS FLUID MODEL
- On stochastic equations with respect to semimartingales I.†
- The Derivation of Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Many-Particle Systems
- Local strong solutions to the stochastic compressible Navier–Stokes system
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Existence of Weak Solutions in Wasserstein Space for a Chemotaxis Model Coupled to Fluid Equations
- Generalized Solutions to a Chemotaxis-Navier--Stokes System with Arbitrary Superlinear Degradation
- Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary
- Stochastic Equations in Infinite Dimensions
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Quelques résultats d'existence dans des équations aux dérivées partielles non linéaires
- Stochastic Navier-Stokes equations
- Global martingale weak solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system with Lévy processes
- On the existence and uniqueness of solution to a stochastic chemotaxis-Navier-Stokes model
- On the Keller-Segel models interacting with a stochastically forced incompressible viscous flow in \(\mathbb{R}^2\)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Random perturbations for the chemotaxis-fluid model with fractional dissipation: global pathwise weak solutions
