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pro vyhledávání: '"Mingli Hong"'
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-19 (2024)
Abstract We consider dynamics of a semilinear heat equation on time-varying domains with lower regular forcing term. Instead of requiring the forcing term f ( ⋅ ) $f(\cdot )$ to satisfy ∫ − ∞ t e λ s ∥ f ( s ) ∥ L 2 2 d s < ∞ $\int _{-
Externí odkaz:
https://doaj.org/article/fb5876fee6af4ac38ee22167d4888a54
Autor:
Linrui Li, Mingli Hong
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-12 (2023)
Abstract We obtain the global existence and global regularity for the 2D MHD equations with almost Laplacian velocity dissipation, which require the dissipative operators weaker than any power of the fractional Laplacian. The result can be regarded a
Externí odkaz:
https://doaj.org/article/0a63de41a35e4262afd3a713ee9996ad
Publikováno v:
Advances in Mathematical Physics, Vol 2023 (2023)
In this paper, we survey some non-blow-up results for the following generalized modified inviscid surface quasigeostrophic equation (GSQG) θt+u·∇θ=0,u=∇⊥ψ,−Λβψ=θ,θx,0=θ0x.. This is a generalized surface quasigeostrophic equation (GS
Externí odkaz:
https://doaj.org/article/8b5499a34f484ff29d5eae772e98b8fc
Autor:
Mingli Hong
Publikováno v:
Journal of Applied Analysis & Computation. 7:102-118
Here we consider the global well-posedness of the 3D viscous primitive equations of the large-scale ocean. Inspired by the methods in Cao etc[2] and Guo etc[5], we prove the global well-posedness and the long-time dynamics for the primitive equations
Autor:
Mingli Hong
Publikováno v:
Journal of Mathematical Analysis and Applications. 354:459-468
In this paper, we consider a Schrodinger equation − Δ u + ( λ a ( x ) + 1 ) u = f ( u ) . Applying Principle of Symmetric Criticality and the invariant set method, under some assumptions on a and f, we obtain an unbounded sequence of radial sign-
Autor:
Mingli Hong
Publikováno v:
Boundary Value Problems. 2013
In this paper, we consider the fractional Korteweg-de Vries equations with general nonlinearities. By studying constrained minimization problems and applying the method of concentration-compactness, we obtain the existence of solitary waves for the g