Deng, Shijin; Wang, Weike; Yu, Shih-Hsien Bifurcation on boundary data for linear Broadwell model with conservative boundary condition. (English) Zbl 1304.82064 J. Hyperbolic Differ. Equ. 11, No. 3, 603-619 (2014). Summary: We study a simple kinetic model with a conservative boundary condition which resembles the Maxwell diffuse boundary condition for the Boltzmann equation. We use a streamlined approach to construct the global pointwise structure of the full boundary data from the imposed boundary condition. Our estimates are strong enough to conclude the bifurcation in terms of the coefficients of the Broadwell model and the speed of the physical boundary. Cited in 1 ReviewCited in 2 Documents MSC: 82C40 Kinetic theory of gases in time-dependent statistical mechanics 35Q20 Boltzmann equations Keywords:broadwell model; Maxwell diffuse boundary condition; boundary layer PDFBibTeX XMLCite \textit{S. Deng} et al., J. Hyperbolic Differ. Equ. 11, No. 3, 603--619 (2014; Zbl 1304.82064) Full Text: DOI References: [1] DOI: 10.1002/cpa.3160320404 · Zbl 0387.76068 · doi:10.1002/cpa.3160320404 [2] DOI: 10.1007/BF01218291 · Zbl 0665.76089 · doi:10.1007/BF01218291 [3] DOI: 10.1007/s00205-010-0344-4 · Zbl 1294.35007 · doi:10.1007/s00205-010-0344-4 [4] DOI: 10.3934/nhm.2006.1.167 · Zbl 1111.82047 · doi:10.3934/nhm.2006.1.167 [5] DOI: 10.1002/cpa.20011 · Zbl 1111.76047 · doi:10.1002/cpa.20011 [6] Liu T.-P., Bull. Inst. Math. Acad. Sinica (N.S.) 6 pp 245– (2011) [7] DOI: 10.1007/BF00376025 · Zbl 0704.76039 · doi:10.1007/BF00376025 [8] DOI: 10.1007/978-1-4612-0061-1 · doi:10.1007/978-1-4612-0061-1 [9] DOI: 10.1007/978-0-8176-4573-1 · doi:10.1007/978-0-8176-4573-1 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.