A variational property of critical speed to travelling waves in the presence of nonlinear diffusion

作者：Gavioli Andrea; Sanchez Luis^*

来源：Applied Mathematics Letters, 2015, 48: 47-54.

DOI：10.1016/j.aml.2015.03.011

• Travelling wave
• Nonlinear diffusion
• Critical speed
• Constrained minimum

Let f be a continuous function in [0,1] with f(0) = 0 = f(1) and f > 0 on ]0, 1[. We show that, under additional mild conditions waves of on f, the minimal speed for travelling
partial derivative u/partial derivative t = partial derivative/partial derivative x [vertical bar partial derivative u/partial derivative x vertical bar(p-2) partial derivative u/partial derivative x] + f(u),
may be computed via a constrained minimum problem which in turn is related to the solution of a singular boundary with value problem in the half line.

• 出版日期2015-10