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On subharmonics bifurcation in equations with homogeneous nonlinearities
Global existence and uniqueness for a hyperbolic system with free boundary
1.  Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, China 
2.  Department of Mathematics, South China Normal University, Guangzhou 510631, China 
[1] 
Xi Wang, Zuhan Liu, Ling Zhou. Asymptotic decay for the classical solution of the chemotaxis system with fractional Laplacian in high dimensions. Discrete and Continuous Dynamical Systems  B, 2018, 23 (9) : 40034020. doi: 10.3934/dcdsb.2018121 
[2] 
Michael L. Frankel, Victor Roytburd. Fractal dimension of attractors for a Stefan problem. Conference Publications, 2003, 2003 (Special) : 281287. doi: 10.3934/proc.2003.2003.281 
[3] 
Lincoln Chayes, Inwon C. Kim. The supercooled Stefan problem in one dimension. Communications on Pure and Applied Analysis, 2012, 11 (2) : 845859. doi: 10.3934/cpaa.2012.11.845 
[4] 
Piotr B. Mucha. Limit of kinetic term for a Stefan problem. Conference Publications, 2007, 2007 (Special) : 741750. doi: 10.3934/proc.2007.2007.741 
[5] 
Yegana Ashrafova, Kamil AidaZade. Numerical solution to an inverse problem on a determination of places and capacities of sources in the hyperbolic systems. Journal of Industrial and Management Optimization, 2020, 16 (6) : 30113033. doi: 10.3934/jimo.2019091 
[6] 
ZhiQiang Shao. Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems of diagonal form with large BV data. Communications on Pure and Applied Analysis, 2013, 12 (6) : 27392752. doi: 10.3934/cpaa.2013.12.2739 
[7] 
Tatsien Li, Libin Wang. Global classical solutions to a kind of mixed initialboundary value problem for quasilinear hyperbolic systems. Discrete and Continuous Dynamical Systems, 2005, 12 (1) : 5978. doi: 10.3934/dcds.2005.12.59 
[8] 
Jan Prüss, Jürgen Saal, Gieri Simonett. Singular limits for the twophase Stefan problem. Discrete and Continuous Dynamical Systems, 2013, 33 (11&12) : 53795405. doi: 10.3934/dcds.2013.33.5379 
[9] 
Marianne Korten, Charles N. Moore. Regularity for solutions of the twophase Stefan problem. Communications on Pure and Applied Analysis, 2008, 7 (3) : 591600. doi: 10.3934/cpaa.2008.7.591 
[10] 
Karl P. Hadeler. Stefan problem, traveling fronts, and epidemic spread. Discrete and Continuous Dynamical Systems  B, 2016, 21 (2) : 417436. doi: 10.3934/dcdsb.2016.21.417 
[11] 
Robert Eymard, Thierry Gallouët. A new convergence proof for approximations of the Stefan problem. Discrete and Continuous Dynamical Systems, 2022 doi: 10.3934/dcds.2022094 
[12] 
ZhiQiang Shao. Lifespan of classical discontinuous solutions to the generalized nonlinear initialboundary Riemann problem for hyperbolic conservation laws with small BV data: shocks and contact discontinuities. Communications on Pure and Applied Analysis, 2015, 14 (3) : 759792. doi: 10.3934/cpaa.2015.14.759 
[13] 
JongShenq Guo, BoChih Huang. Hyperbolic quenching problem with damping in the microelectro mechanical system device. Discrete and Continuous Dynamical Systems  B, 2014, 19 (2) : 419434. doi: 10.3934/dcdsb.2014.19.419 
[14] 
Tong Li, Nitesh Mathur. Riemann problem for a nonstrictly hyperbolic system in chemotaxis. Discrete and Continuous Dynamical Systems  B, 2022, 27 (4) : 21732187. doi: 10.3934/dcdsb.2021128 
[15] 
Belkacem SaidHouari, Radouane Rahali. Asymptotic behavior of the solution to the Cauchy problem for the Timoshenko system in thermoelasticity of type III. Evolution Equations and Control Theory, 2013, 2 (2) : 423440. doi: 10.3934/eect.2013.2.423 
[16] 
Libin Wang. Breakdown of $C^1$ solution to the Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity. Communications on Pure and Applied Analysis, 2003, 2 (1) : 7789. doi: 10.3934/cpaa.2003.2.77 
[17] 
Anupam Sen, T. Raja Sekhar. Structural stability of the Riemann solution for a strictly hyperbolic system of conservation laws with flux approximation. Communications on Pure and Applied Analysis, 2019, 18 (2) : 931942. doi: 10.3934/cpaa.2019045 
[18] 
Huiling Li, Xiaoliu Wang, Xueyan Lu. A nonlinear Stefan problem with variable exponent and different moving parameters. Discrete and Continuous Dynamical Systems  B, 2020, 25 (5) : 16711698. doi: 10.3934/dcdsb.2019246 
[19] 
Chaoxu Pei, Mark Sussman, M. Yousuff Hussaini. A spacetime discontinuous Galerkin spectral element method for the Stefan problem. Discrete and Continuous Dynamical Systems  B, 2018, 23 (9) : 35953622. doi: 10.3934/dcdsb.2017216 
[20] 
Donatella Danielli, Marianne Korten. On the pointwise jump condition at the free boundary in the 1phase Stefan problem. Communications on Pure and Applied Analysis, 2005, 4 (2) : 357366. doi: 10.3934/cpaa.2005.4.357 
2021 Impact Factor: 1.588
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