4 citations · 4 across the 4 of their papers we have counts for
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One-dimensional inelastic Boltzmann equation: Stability and uniqueness of self-similar -profiles for moderately hard potentials
R. Alonso, V. Bagland, J. A. Cañizo +2
We prove the stability of self-similar profiles under the hard-to-Maxwell potential limit for the one-dimensional inelastic Boltzmann equation with moderately hard potentia…
Relaxation in Sobolev spaces and spectral gap of the 1D dissipative Boltzmann equation with Maxwell interactions
R. Alonso, V. Bagland, J. A. Cañizo +2
We study the dynamic relaxation to equilibrium of the 1D dissipative Boltzmann equation with Maxwell interactions in classical Sobolev spaces. In addition, we present a spect…
The Amplitude Equation for the Space-Fractional Swift-Hohenberg Equation
Christian Kuehn, Sebastian Throm
Non-local reaction-diffusion partial differential equations (PDEs) involving the fractional Laplacian have arisen in a wide variety of applications. One common tool to analyse the…
Self-similar solutions with fat tails for Smoluchowski's coagulation equation with singular kernels
Barbara Niethammer, Sebastian Throm, Juan J. L. Velázquez
We show the existence of self-similar solutions with fat tails for Smoluchowski's coagulation equation for homogeneous kernels satisfying $C_1 \left(x^{-a}y^{b}+x^{b}y^{-a}\right)\…