5 citations · 5 across the 2 of their papers we have counts for
5 papers
On measures of accretion and dissipation for solutions of the Camassa-Holm equation
Grzegorz Jamróz
We investigate the measures of dissipation and accretion related to the weak solutions of the Camassa-Holm equation. Demonstrating certain properties of nonunique characteristics,…
On uniqueness of dissipative solutions of the Camassa-Holm equation
Grzegorz Jamróz
We prove that dissipative weak solutions of the Camassa-Holm equation are unique. Thus we complete the global well-posedness theory of this celebrated model of shallow water, initi…
Transfer of energy in Camassa-Holm and related models by use of nonunique characteristics
Grzegorz Jamróz
We study the propagation of energy density in finite-energy weak solutions of the Camassa-Holm and related equations. Developing the methods based on generalized nonunique characte…
Nonnegative measures belonging to
Grzegorz Jamróz
Radon measures belonging to the negative Sobolev space are important from the point of view of fluid mechanics as they model vorticity of vortex-sheet soluti…
Measure-transmission metric and stability of structured population models
Grzegorz Jamróz
In [Gwiazda, Jamróz, Marciniak-Czochra 2012] a framework for studying cell differentiation processes based on measure-valued solutions of transport equations was introduced. Under…