Author
Jingxue Yin
Bio: Jingxue Yin is an academic researcher from Jilin University. The author has contributed to research in topics: Uniqueness & Boundary value problem. The author has an hindex of 10, co-authored 40 publications receiving 327 citations.
Papers
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TL;DR: In this paper, the critical extinction and blow-up exponents for the Dirichlet boundary value problem of the fast diffusive p-Laplacian with sources were determined.
Abstract: We discuss and determine the critical extinction and blow-up exponents for the homogeneous Dirichlet boundary value problem of the fast diffusive p-Laplacian with sources. Copyright © 2007 John Wiley & Sons, Ltd.
56 citations
TL;DR: The critical global existence exponent and critical Fujita exponent are obtained by constructing various self-similar supersolutions and subsolutions of the non-Newtonian polytropic filtration equation with nonlinear boundary conditions.
45 citations
TL;DR: In this paper, the homogeneous Dirichlet boundary value problem of a polytropic filtration equation with reaction sources was studied and the non-extinction property of non-trivial solutions and the critical Fujita exponent for the problem was determined.
Abstract: This paper is concerned with the homogeneous Dirichlet boundary value problem of a polytropic filtration equation with reaction sources We will show the non-extinction property of non-trivial solutions and determine the critical Fujita exponent for the problem
22 citations
TL;DR: In this paper, the existence of non-trivial periodic solutions for a periodic p -Laplacian with nonlocal terms based on the theory of Leray-Schauder degree was studied.
Abstract: In this paper we study the existence of non-trivial periodic solutions for a periodic p -Laplacian with nonlocal terms based on the theory of Leray–Schauder degree. The key step is dealing with the degeneracy of the p -Laplacian and the logistic-type terms arising in the right hand side of the equation.
20 citations
TL;DR: In this article, the critical exponents and non-extinction property for a nonlinear boundary value problem of a fast diffusive polytropic filtration equation were discussed.
Abstract: In this paper, we discuss the critical exponents and non-extinction property for a nonlinear boundary value problem of a fast diffusive polytropic filtration equation.
17 citations
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TL;DR: Biological applications of reaction-diffusion waves is reviewed, which includes qualitative properties of travelling waves for the scalar reaction-Diffusion equation and for system of equations, complex nonlinear dynamics, numerous applications in physics, chemistry, biology, medicine.
273 citations
TL;DR: In this article, it was shown that there still exist the critical global existence exponent and the critical Fujita exponent for pseudo-parabolic equations and these two critical exponents are consistent with the corresponding semilinear heat equations.
108 citations
01 Jun 1985
TL;DR: A survey of mathematical research in the physical and biological sciences can be found in this article, with a focus on partial differential equations, Parabolic and elliptic equations, Diffusion processes, Convective systems, Nonlinear waves, Free boundary problems.
Abstract: : This report summarizes mathematical research in the physical and biological sciences. Topics include: Partial differential equations; Parabolic and elliptic equations; Diffusion processes; Convective systems; Nonlinear waves; Free boundary problems.
91 citations