On two-dimensional Hamiltonian transport equations with \(\mathbb L^p_{\text{loc}}\) coefficients

From MaRDI portal
Publication:1400021

DOI10.1016/S0294-1449(02)00015-XzbMath1028.35148arXiv1310.0974MaRDI QIDQ1400021

Maxime Hauray

Publication date: 30 July 2003

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0974



Related Items

On Liouville Transport Equation with Force Field inBVloc, Critical non-Sobolev regularity for continuity equations with rough velocity fields, The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems, Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor, Unnamed Item, Stochastic continuity equation with nonsmooth velocity, Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications, \(W^{1,p}\)-solutions of the transport equation by stochastic perturbation, Differential equations with singular fields, Well-posedness of the deterministic transport equation with singular velocity field perturbed along fractional Brownian paths, Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach, Nonlinear Quantitative Photoacoustic Tomography with Two-Photon Absorption, Divergence-free vector fields in \(\mathbb R^2\), Frozen and almost frozen structures in the compressible rotating fluid, Solution for linear conservation laws with velocity fields in \(L^{\infty}\), Well Posedness in any Dimension for Hamiltonian Flows with NonBVForce Terms, Stability issues in the quasineutral limit of the one-dimensional Vlasov-Poisson equation, Transport equation and Cauchy problem for BV vector fields, Stability of flows associated to gradient vector fields and convergence of iterated transport maps, Wellposedness for stochastic continuity equations with Ladyzhenskaya-Prodi-Serrin condition, Regularization by noise in one-dimensional continuity equation, A Note on Two-Dimensional Transport with Bounded Divergence, Convergence of numerical approximations to non-linear continuity equations with rough force fields, Diperna-Lions flow for relativistic particles in an electromagnetic field



Cites Work