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math.AP2020
Existence of viscosity solutions with the optimal regularity of a two-peakon Hamilton--Jacobi equation
Tomasz Cieślak, Jakub Siemianowski
This work is devoted to the studies of a Hamilton--Jacobi equation with a quadratic and degenerate Hamiltonian, which comes from the dynamics of a multipeakon in the Camassa--Holm…
math.AP2020
A model in one-dimensional thermoelasticity
Tomasz Cieslak, Marija Galić, Boris Muha
We study a one-dimensional nonlinear hyperbolic-parabolic initial boundary value problem occurring in the theory of thermoelasticity. We prove existence and uniqueness of the local…