Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

LORENTZ SPACES IN ACTION ON PRESSURELESS SYSTEMS ARISING FROM MODELS OF COLLECTIVE BEHAVIOR RAPHAËL DANCHIN, PIOTR BOGUSLAW MUCHA AND PATRICK TOLKSDORF

Abstract : We are concerned with global-in-time existence and uniqueness results for models of pressureless gases that come up in the description of phenomena in astrophysics or collective behavior. The initial data are rough: in particular, the density is only bounded. Our results are based on interpolation and parabolic maximal regularity, where Lorentz spaces play a key role. We establish a novel maximal regularity estimate for parabolic systems in $L_{q,r}(0,T;L_p(\Omega))$ spaces.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [40 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-02568285
Contributor : Raphaël Danchin <>
Submitted on : Monday, November 2, 2020 - 7:20:10 PM
Last modification on : Thursday, November 5, 2020 - 3:33:21 AM

Files

NS15.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02568285, version 2
  • ARXIV : 2005.05603

Citation

Raphaël Danchin, Piotr Bogusław Mucha, Patrick Tolksdorf. LORENTZ SPACES IN ACTION ON PRESSURELESS SYSTEMS ARISING FROM MODELS OF COLLECTIVE BEHAVIOR RAPHAËL DANCHIN, PIOTR BOGUSLAW MUCHA AND PATRICK TOLKSDORF. 2020. ⟨hal-02568285v2⟩

Share

Metrics

Record views

17

Files downloads

10