The study of evolutionary dynamics has increasingly drawn upon sophisticated mathematical frameworks to model the adaptive processes of populations. In recent decades, Hamilton-Jacobi equations have ...
We derive estimates on the magnitude of non-adiabatic interaction between a Hamiltonian partial differential equation and a high-frequency nonlinear oscillator. Assuming spatial analyticity of the ...
When considering classical solutions of boundary value problems for nonlinear first-order scalar partial differential equations, one knows that there are parts of the boundary of the region under ...
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