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math.AP2022
The Riemann problem for a generalised Burgers equation with spatially decaying sound speed. II General qualitative theory
John Christopher Meyer, David John Needham
We establish that the initial value problem for a generalised Burgers equation considered in part I of this paper, is well-posed. We also establish several qualitative properties o…
math.AP2020
The Evolution of Travelling Waves in a KPP Reaction-Diffusion Model with cut-off Reaction Rate. II. Evolution of Travelling Waves
A. D. O. Tisbury, D. J. Needham, A. Tzella
In Part II of this series of papers, we consider an initial-boundary value problem for the Kolmogorov--Petrovskii--Piscounov (KPP) type equation with a discontinuous cut-off in the…