Nonlinear Hyperbolic Conservation Laws on Manifolds

Matania Ben-Artzi (HU of Jerusalem)

May 24. 2023, 10:45 — 11:30

     Abstract: We define a class of nonlinear scalar hyperbolic equations on
Riemannian varieties (compact, without boundary). Proofs of existence and
uniqueness are obtained by a combination of dissipative estimates and Young
measures. Suitable entropy conditions are introduced. We show the
convergence of a class of finite-volume schemes and present some numerical
    (Joint work with J. Falcovitz and Ph. LeFloch)

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
The Dynamics of Planetary-scale Fluid Flows (Thematic Programme)
Adrian Constantin (U of Vienna)
David Dritschel (U of St Andrews)
Nathan Paldor (HU of Jerusalem)