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Publication:3418236
zbMath1170.35362MaRDI QIDQ3418236
Publication date: 2 February 2007
Full work available at URL: https://eudml.org/doc/84546
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear first-order PDEs (35F05) Functions of bounded variation, generalizations (26A45)
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Retracted: A uniqueness lemma with applications to regularization and incompressible fluid mechanics ⋮ The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems ⋮ Lagrangian flows for vector fields with anisotropic regularity ⋮ On an anisotropic Serrin criterion for weak solutions of the Navier-Stokes equations ⋮ Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications ⋮ A note on the Lagrangian flow associated to a partially regular vector field ⋮ Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach ⋮ A new proof of the uniqueness of the flow for ordinary differential equations with \(BV\) vector fields ⋮ A uniqueness lemma with applications to regularization and incompressible fluid mechanics ⋮ Existence and uniqueness of maximal regular flows for non-smooth vector fields ⋮ Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow ⋮ Stability of flows associated to gradient vector fields and convergence of iterated transport maps ⋮ Differentiability in measure of the flow associated with a nearly incompressible BV vector field
Cites Work
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- Uniqueness of continuous solutions for BV vector fields
- On two-dimensional Hamiltonian transport equations with continuous coefficients
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- Renormalized solutions of some transport equations with partially \(W^{1,1}\) velocities and applications
- Weakly Differentiable Functions
- Sur les équations différentielles ordinaires et les équations de transport
- One-dimensional transport equations with discontinuous coefficients
- Rank one property for derivatives of functions with bounded variation
- THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
- Renormalized solutions to the Vlasov equation with coefficients of bounded variation
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