2 papers
math.AP2025
Self-Similar Solutions to a Nonlinear Forward-Backward Parabolic Equation
Tian Jing
In this paper, we study the mixed-type equation u u_x = u_{yy}, which behaves as forward and backward parabolic equations depending on the sign of u. The equation arises from the s…
math.AP2024
Strong solutions to the three-dimensional two-phase magnetohydrodynamic equations
Tian Jing, Dehua Wang
In this paper, we study the existence of strong solutions to the two-phase magnetohydrodynamic equations in a bounded domain . The fluids are incompressib…