Solutions with concentration for conservation laws with discontinuous flux and its applications to numerical schemes for hyperbolic systems-Reference-Cited by-同舟云学术

Solutions with concentration for conservation laws with discontinuous flux and its applications to numerical schemes for hyperbolic systems

Published:2020-06-10 Issue:2 Volume:145 Page:247-290
ISSN:0022-2526
Container-title:Studies in Applied Mathematics
language:en
Short-container-title:Studies in Applied Mathematics

Author:

Aggarwal Aekta¹^ORCID,Sahoo Manas Ranjan²^ORCID,Sen Abhrojyoti²^ORCID,Vaidya Ganesh³^ORCID

Affiliation:

1. Operations Management and Quantitative Techniques AreaIndian Institute of Management Indore Prabandh Shikhar, Rau–Pithampur Road Indore Madhya Pradesh 453556 India

2. School of Mathematical SciencesNational Institute of Science Education and Research, HBNI Jatni, Khurda Bhubaneswar 752050 India

3. TIFR Centre for Applicable Mathematics Post Bag No 6503, Sharada Nagar, Yelahanka New town Bangalore 560065 India

Funder

SERB-MATRICS

Inspire Grant

Publisher

Wiley

Subject

Applied Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1111/sapm.12319

Reference51 articles.

1. Gravitational instability: an approximate theory for large density perturbations;Zel'dovich YB;Astron Astrophys,1970

2. One‐dimensional adhesion model for large scale structures;Joseph KT;Electron J Differ Eq,2010

3. Delta Shock Waves for a Linearly Degenerate Hyperbolic System of Conservation Laws of Keyfitz-Kranzer Type

4. The Riemann problem admitting δ-, δ′-shocks, and vacuum states (the vanishing viscosity approach)

5. THE DYNAMICS OF PRESSURELESS DUST CLOUDS AND DELTA WAVES

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