We are concerned with the shock diffraction configuration for isothermal gas modeled by the conservation laws of nonlinear wave system.We reformulate the shock diffraction problem into a linear degenerate elliptic equ...We are concerned with the shock diffraction configuration for isothermal gas modeled by the conservation laws of nonlinear wave system.We reformulate the shock diffraction problem into a linear degenerate elliptic equation in a fixed bounded domain.The degeneracy is of Keldysh typw-the derivative of a solution blows up at the boundary.We establish the global existence of solutions and prove the C0,1/2-regularity of solutions near the degenerate boundary.We also compare the difference of solutions between the isothermal gas and the poly tropic gas.展开更多
基金The research of Qin Wang is supported by National Natural Science Foundation of China(11761077)NSF of Yunnan province(2019FY003007)+1 种基金Project for Innovation Team(Cultivation)of Yunnan Province,(202005AE160006)the research of Kyungwoo Song is supported by the National Research Foundation of Korea(NRF)grant funded by the Korea government(MSIT)(NRF-2019R1F1A1057766).
文摘We are concerned with the shock diffraction configuration for isothermal gas modeled by the conservation laws of nonlinear wave system.We reformulate the shock diffraction problem into a linear degenerate elliptic equation in a fixed bounded domain.The degeneracy is of Keldysh typw-the derivative of a solution blows up at the boundary.We establish the global existence of solutions and prove the C0,1/2-regularity of solutions near the degenerate boundary.We also compare the difference of solutions between the isothermal gas and the poly tropic gas.
