C Shen, M Sun - Physica D: Nonlinear Phenomena, 2023 - Elsevier
The exact Riemann solutions are presented in fully explicit forms for the one-dimensional isentropic Euler system of gas dynamics with the body force, in which the shock and …
Y Wang, M Sun - Applicable Analysis, 2023 - Taylor & Francis
The Riemann problem for a pressureless hydrodynamic model is solved explicitly, whose solution is either a contact-vacuum-contact wave or a delta shock wave to connect the left …
Y Pang, Y Wen, C Xu - Results in Physics, 2023 - Elsevier
We concern with Riemann problem for an one-dimensional pressureless compressible fluid system with time-and space-dependent external force. Under the concept of α-solution to …
C Shen, M Sun - International Journal of Mathematics, 2021 - World Scientific
The Riemann problem for a hyperbolic system of conservation laws belonging to Temple class is considered within frame of α-solutions based on the concept of solutions defined in …
AR Domingos - European Journal of Mathematics, 2024 - Springer
We study of a Riemann problem for a one-dimensional 2× 2 system of conservation laws, which includes some particular cases of known physical systems, such as the pressureless …
C Shen - Applied Mathematics Letters, 2025 - Elsevier
Two kinds of exact Riemann solutions for a hyperbolic system arising from the steady 2D Helmholtz equation under a paraxial assumption are constructively achieved by using either …
H Kalisch, D Mitrovic - International Journal of Applied and Computational …, 2022 - Springer
A weak notion of solution for systems of conservation laws in one dimension is put forward. In the framework introduced here, it can be shown that the Cauchy problem for any n× n …
Y Pang, C Xu - Zeitschrift für angewandte Mathematik und Physik, 2024 - Springer
Both propagation and collision behavior of δ′ waves in a model of three partial differential equations are investigated. These are Cauchy problems for this model with initial values …
We investigate a conservation law characterized by a discontinuous flux, given by u t+∂ x (f L (u) H (− x)+ f R (u) H (x))= 0, where max u∈ K f L (u)< max u∈ K f R (u), for any …