Global-in-time probabilistically strong solutions to stochastic power-law equations: existence and non-uniqueness

DOI10.1016/j.spa.2023.06.014arXiv2209.02531OpenAlexW4383315704MaRDI QIDQ6048970

Huaxiang Lu, Xiang Chan Zhu

Publication date: 15 September 2023

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.02531

zbMATH Keywords

convex integrationnon-uniqueness in lawprobabilistically strong solutionsstochastic power-law equations

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Stochastic analysis applied to problems in fluid mechanics (76M35) Statistical solutions of Navier-Stokes and related equations (76D06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dissipative continuous Euler flows
• Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise
• Stochastic shear thickening fluids: strong convergence of the Galerkin approximation and the energy equality
• A theory of regularity structures
• Stochastic power law fluids: existence and uniqueness of weak solutions
• Well-posedness of the transport equation by stochastic perturbation
• On admissibility criteria for weak solutions of the Euler equations
• Invariant measure of scalar first-order conservation laws with stochastic forcing
• Existence theory for stochastic power law fluids
• The Euler equations as a differential inclusion
• A proof of Onsager's conjecture
• Ill-posedness of Leray solutions for the hypodissipative Navier-Stokes equations
• Nonuniqueness of weak solutions to the Navier-Stokes equation
• Nonuniqueness in law for stochastic hypodissipative Navier-Stokes equations
• Remarks on the non-uniqueness in law of the Navier-Stokes equations up to the J.-L. Lions' exponent
• Non-uniqueness in law for the Boussinesq system forced by random noise
• Non-uniqueness of Leray solutions of the forced Navier-Stokes equations
• Convex integration and phenomenologies in turbulence
• Convex integration solutions to the transport equation with full dimensional concentration
• Non uniqueness of power-law flows
• Anomalous dissipation for \(1/5\)-Hölder Euler flows
• Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise
• Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity
• Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Onsager's Conjecture for Admissible Weak Solutions
• Existence of weak solutions for unsteady motions of generalized Newtonian fluids
• NonUniqueness in Law for Two-Dimensional Navier--Stokes Equations with Diffusion Weaker than a Full Laplacian
• Convex integration constructions in hydrodynamics
• On Ill‐ and <scp>Well‐Posedness</scp> of Dissipative Martingale Solutions to Stochastic <scp>3D</scp> Euler Equations
• Temporal decay of strong solutions for generalized Newtonian fluids with variable power-law index
• Stochastic Equations in Infinite Dimensions
• Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier-Stokes equations: existence and nonuniqueness

This page was built for publication: Global-in-time probabilistically strong solutions to stochastic power-law equations: existence and non-uniqueness