Relevant bibliographies by topics / Degenerate parabolic systems

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Academic literature on the topic 'Degenerate parabolic systems'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "Degenerate parabolic systems"

1

Kačur, J., and S. Luckhaus. "Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems." Applied Numerical Mathematics 26, no. 3 (1998): 307–26. http://dx.doi.org/10.1016/s0168-9274(97)00073-1.

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2

LIANG, FENG, and MAOAN HAN. "DEGENERATE HOPF BIFURCATION IN NONSMOOTH PLANAR SYSTEMS." International Journal of Bifurcation and Chaos 22, no. 03 (2012): 1250057. http://dx.doi.org/10.1142/s0218127412500575.

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In this paper, we mainly discuss Hopf bifurcation for planar nonsmooth general systems and Liénard systems with foci of parabolic–parabolic (PP) or focus–parabolic (FP) type. For the bifurcation near a focus, when the focus is kept fixed under perturbations we prove that there are at most k limit cycles which can be produced from an elementary weak focus of order 2k + 2 ( resp. k + 1)(k ≥ 1) if the focus is of PP (resp. FP) type, and we present the conditions to ensure these upper bounds are achievable. For the bifurcation near a center, the Hopf cyclicicy is studied for these systems. Some in
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3

Xingming, Guo. "Degenerate parabolic equation and unilateral constraint systems." Applied Mathematics and Mechanics 17, no. 10 (1996): 987–92. http://dx.doi.org/10.1007/bf00147136.

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4

Demetriou, M. A., and I. G. Rosen. "Adaptive Parameter Estimation for Degenerate Parabolic Systems." Journal of Mathematical Analysis and Applications 189, no. 3 (1995): 815–47. http://dx.doi.org/10.1006/jmaa.1995.1053.

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5

Schwarzacher, Sebastian. "Hölder–Zygmund estimates for degenerate parabolic systems." Journal of Differential Equations 256, no. 7 (2014): 2423–48. http://dx.doi.org/10.1016/j.jde.2014.01.009.

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6

Qi, Yuan-Wei, and H. A. Levine. "The critical exponent of degenerate parabolic systems." ZAMP Zeitschrift f�r angewandte Mathematik und Physik 44, no. 2 (1993): 249–65. http://dx.doi.org/10.1007/bf00914283.

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7

Wei, Na, Xiangyu Ge, Yonghong Wu, and Leina Zhao. "Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems." Discrete Dynamics in Nature and Society 2017 (2017): 1–12. http://dx.doi.org/10.1155/2017/2741326.

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This paper is devoted to the Lp estimates for weak solutions to nonlinear degenerate parabolic systems related to Hörmander’s vector fields. The reverse Hölder inequalities for degenerate parabolic system under the controllable growth conditions and natural growth conditions are established, respectively, and an important multiplicative inequality is proved; finally, we obtain the Lp estimates for the weak solutions by combining the results of Gianazza and the Caccioppoli inequality.
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8

L. Hollingsworth, Brooke, and R. E. Showalter. "Semilinear degenerate parabolic systems and distributed capacitance models." Discrete & Continuous Dynamical Systems - A 1, no. 1 (1995): 59–76. http://dx.doi.org/10.3934/dcds.1995.1.59.

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9

Kačur, Jozef. "Solution of degenerate parabolic systems by relaxation schemes." Nonlinear Analysis: Theory, Methods & Applications 30, no. 7 (1997): 4629–36. http://dx.doi.org/10.1016/s0362-546x(97)00463-x.

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10

Murakawa, H. "Reaction–diffusion system approximation to degenerate parabolic systems." Nonlinearity 20, no. 10 (2007): 2319–32. http://dx.doi.org/10.1088/0951-7715/20/10/003.

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