DOI10.1016/S0764-4442(98)80022-0zbMath0919.34028OpenAlexW2044996446MaRDI QIDQ4217537
Pierre-Louis Lions
Publication date: 31 August 1999
Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0764-4442(98)80022-0
Traces and fine properties of a \(BD\) class of vector fields and applications,
On solutions of the transport equation in the presence of singularities,
The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems,
Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications,
Differential equations with singular fields,
On two-dimensional Hamiltonian transport equations with \(\mathbb L^p_{\text{loc}}\) coefficients,
A new proof of the uniqueness of the flow for ordinary differential equations with \(BV\) vector fields,
A Lagrangian scheme à la Brenier for the incompressible Euler equations,
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Stochastic continuity equations -- a general uniqueness result,
Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients,
Well Posedness in any Dimension for Hamiltonian Flows with NonBVForce Terms,
Transport equation and Cauchy problem for BV vector fields,
Uniqueness in the Cauchy problem for transport in \(\mathbb R^2\) and \(\mathbb R^{1+2}\),
The divergence of Banach space valued random variables on Wiener space,
Renormalized solutions of some transport equations with partially \(W^{1,1}\) velocities and applications,
Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow,
Two remarks on generalized flows for ordinary differential equations.,
A criterion for uniqueness of Lagrangian trajectories for weak solutions of the 3D Navier-Stokes equations,
Uniqueness of continuous solutions for BV vector fields,
Pseudo-compressibility, Dispersive Model and Acoustic Waves in Shallow Water Flows,
Log-Lipschitz regularity and uniqueness of the flow for a field in \((W_{\text{loc}}^{n/p+1,p}(\mathbb{R}^n))^n\)