Initial-boundary value problem for stochastic transport equations

Author:

Neves Wladimir,Olivera Christian

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Modelling and Simulation,Statistics and Probability

Reference26 articles.

1. Attanasio, S., Flandoli, F.: Renormalized solutions for stochastic transport equations and the regularization by bilinear multiplication noise. Commun. Partial Differ. Equ. 36(8), 1455–1474 (2011)

2. Ambrosio, L.: Transport equation and Cauchy problem for $$BV$$ vector fields. Invent. Math. 158(2), 227–260 (2004)

3. Ambrosio, L., Crippa, G.: Continuity equations and ODE fows with non-smooth velocity, Lecture Notes of a course given at HeriottWatt University, Edinburgh. Proceeding of the Royal Society of Edinburgh, Section A: Mathematics. In press

4. Bardos, C.: Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coefficients réels; théorèmes d’approximation; application à l’équation de transport. Ann. Sci. École Norm. Sup. 4(3), 185–233 (1970)

5. Boyer, F.: Trace theorems and spatial continuity properties for the solutions of the transport equation. Differ. Integral Equ. 18(8), 891–934 (2005)

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1. Transport equation driven by a stochastic measure;Modern Stochastics: Theory and Applications;2023

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