BRAUNER, Claude-Michel; SHANG, Peipei; ZHANG, Linwan

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BRAUNER, Claude-Michel
Institut de Mathématiques de Bordeaux [IMB]

SHANG, Peipei
Tongji University

ZHANG, Linwan
Tongji University

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We consider a traveling wave solution of a 2D transmission problem across the y− axis modeling autoignition of reactive jets, a limiting version corresponding to large heat loss of a model discussed in [6]. A jump of the normal derivative generates a singularity at the origin. We construct an explicit solution to a problem in distributional sense that verifies the transmission system and closely examine the properties of the solution near the singularity. Using the Implicit Function Theorem, we study the level sets, especially the one through the origin. Numerical computations show consistency with our theoretical results.< Leer menos

Palabras clave en inglés

Transmission problem

Fixed interface

Traveling waves

Singularity

Fundamental solution

Bessel functions

Autoignition

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On a 2D transmission problem with singularity at the interface modeling autoignition of reactive jets

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