Local nonuniqueness for stochastic transport equations with deterministic drift
DOI10.1137/23M1589104zbMATH Open1548.9009MaRDI QIDQ6598456
Publication date: 5 September 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
stochastic partial differential equationspathwise uniquenessstochastic transport equationconvex integrationnonuniquenesspassive scalar transport
Transportation, logistics and supply chain management (90B06) Ill-posed problems for PDEs (35R25) PDEs with randomness, stochastic partial differential equations (35R60) Transport equations (35Q49)
Cites Work
- Title not available (Why is that?)
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- Stochastic partial differential equations: an introduction
- Stochastic continuity equations -- a general uniqueness result
- Non-uniqueness and \(h\)-principle for Hölder-continuous weak solutions of the Euler equations
- Wiener chaos and uniqueness for stochastic transport equation
- Non-uniqueness for the transport equation with Sobolev vector fields
- Transport equation and Cauchy problem for BV vector fields
- Wellposedness for stochastic continuity equations with Ladyzhenskaya-Prodi-Serrin condition
- Well-posedness of the transport equation by stochastic perturbation
- Ordinary differential equations, transport theory and Sobolev spaces
- The Euler equations as a differential inclusion
- Partial differential equations. III: Nonlinear equations.
- On vector fields as generators of flows: A counterexample to Nelson's conjecture
- Construction of a solution of random transport equation with boundary condition
- Convex integration for Lipschitz mappings and counterexamples to regularity
- A proof of Onsager's conjecture
- Nonuniqueness of weak solutions to the Navier-Stokes equation
- Strong solutions of stochastic equations with singular time dependent drift
- Noise prevents singularities in linear transport equations
- Positive solutions of transport equations and classical nonuniqueness of characteristic curves
- Nonuniqueness of weak solutions for the transport equation at critical space regularity
- Nonuniqueness in law for stochastic hypodissipative Navier-Stokes equations
- SDEs with critical time dependent drifts: weak solutions
- Remarks on the non-uniqueness in law of the Navier-Stokes equations up to the J.-L. Lions' exponent
- Non-uniqueness of integral curves for autonomous Hamiltonian vector fields.
- Non-uniqueness in law for the Boussinesq system forced by random noise
- Convex integration and phenomenologies in turbulence
- Stochastic differential equations with critical drifts
- Convex integration solutions to the transport equation with full dimensional concentration
- Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness
- A uniqueness result for the decomposition of vector fields in \(\mathbb{R}^d\)
- On solvability and ill-posedness of the compressible Euler system subject to stochastic forces
- Non-renormalized solutions to the continuity equation
- Sobolev differentiable stochastic flows for SDEs with singular coefficients: applications to the transport equation
- Optimality of integrability estimates for advection-diffusion equations
- Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients
- Renormalized solutions of some transport equations with partially \(W^{1,1}\) velocities and applications
- \(C^1\) isometric imbeddings
- Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise
- Pathwise uniqueness and continuous dependence for SDEs with non-regular drift
- Renormalized Solutions for Stochastic Transport Equations and the Regularization by Bilinear Multiplicative Noise
- Onsager's Conjecture for Admissible Weak Solutions
- Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients
- Partial Differential Relations
- On a class of stochastic transport equations for $L^2_loc$ vector fields
- Eulerian and Lagrangian Solutions to the Continuity and Euler Equations with $L^1$ Vorticity
- Interpolation Theory
- A partial differential equation with the white noise as a coefficient
- On Ill‐ and <scp>Well‐Posedness</scp> of Dissipative Martingale Solutions to Stochastic <scp>3D</scp> Euler Equations
- Intermittent Convex Integration for the 3D Euler Equations
- An intermittent Onsager theorem
- Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier-Stokes equations: existence and nonuniqueness
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