Work

Global‐in‐time well‐posedness of solutions for the 2D hyperbolic Prandtl equations in an analytic framework

Year: 2024

Type: article

Abstract: In this paper, we consider the 2D hyperbolic Prandtl equations on the half plane. Firstly, we obtain the global existence of solutions by using the classical energy methods in an analytic framework. Then, we prove the uniqueness of solutions. Besides, we also obtain a time exponential decay in analytic regularity norm of the solutions for any time .

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10523

Author: Xiaolei Dong

Institution: Zhoukou Normal University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Zhoukou Normal University, National Natural Science Foundation of China, Natural Science Foundation of Henan Province

Awards: G1558480099, G488644120, G5896062877