Validity of Formal Asymptotic Expansions for Singularly Perturbed Competition-Diffusion Systems

SIAM Journal on Mathematical Analysis ◽

10.1137/18m1170625 ◽

2019 ◽

Vol 51 (2) ◽

pp. 820-853

Author(s):

Ryunosuke Mori

Keyword(s):

Asymptotic Expansions ◽

Singularly Perturbed ◽

Diffusion Systems ◽

Competition Diffusion

Download Full-text

Additive schemes based domain decomposition algorithm for solving singularly perturbed parabolic reaction-diffusion systems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01457-y ◽

2021 ◽

Vol 40 (3) ◽

Author(s):

Aakansha ◽

Joginder Singh ◽

Sunil Kumar

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Decomposition Algorithm ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Additive Schemes ◽

Diffusion Systems ◽

Domain Decomposition Algorithm

Download Full-text

Entire solutions of time periodic bistable Lotka–Volterra competition-diffusion systems in $${\mathbb {R}}^N$$

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-020-01887-2 ◽

2021 ◽

Vol 60 (1) ◽

Author(s):

Wei-Jie Sheng ◽

Mingxin Wang ◽

Zhi-Cheng Wang

Keyword(s):

Entire Solutions ◽

Diffusion Systems ◽

Time Periodic ◽

Competition Diffusion

Download Full-text

Breathing pulses in singularly perturbed reaction-diffusion systems

Nonlinearity ◽

10.1088/0951-7715/28/7/2211 ◽

2015 ◽

Vol 28 (7) ◽

pp. 2211-2246 ◽

Author(s):

Frits Veerman

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

Download Full-text

Robust exponential convergence of hp FEM for singularly perturbed reaction-diffusion systems with multiple scales

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drs013 ◽

2012 ◽

Vol 33 (2) ◽

pp. 609-628 ◽

Author(s):

J. M. Melenk ◽

C. Xenophontos ◽

L. Oberbroeckling

Keyword(s):

Multiple Scales ◽

Exponential Convergence ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

Download Full-text

The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-006-0304-9 ◽

2006 ◽

Vol 22 (2) ◽

pp. 277-286 ◽

Author(s):

Jia-qi Mo ◽

Wan-tao Lin

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Initial Boundary Value ◽

Nonlocal Reaction

Download Full-text

Asymptotic Expansions of Eigenvalues of Periodic and Antiperiodic Boundary Problems for Singularly Perturbed Second Order Diﬀerential Equation with Turning Points

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2016-1-61-85 ◽

2016 ◽

Vol 23 (1) ◽

pp. 61-85

Author(s):

S. A. Kashchenko

Keyword(s):

Differential Equation ◽

Asymptotic Expansions ◽

Order Differential Equation ◽

Turning Points ◽

Second Order ◽

Singularly Perturbed ◽

Boundary Problems ◽

Second Order Differential Equation

Download Full-text

Composite Asymptotic Expansions to a Singularly Perturbed Linear Ordinary Differential Equation Near Turning Points

10.1109/icrami52622.2021.9585982 ◽

2021 ◽

Author(s):

Abdelali Makhfi

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Asymptotic Expansions ◽

Turning Points ◽

Linear Ordinary Differential Equation ◽

Singularly Perturbed

Download Full-text

Asymptotic expansions for singularly perturbed differential matrix riccati equations with applications to linear — Quadratic optimization problems

Lecture Notes in Mathematics - Asymptotic Analysis II — ◽

10.1007/bfb0062377 ◽

1983 ◽

pp. 370-399

Author(s):

V. DrĂgan

Keyword(s):

Asymptotic Expansions ◽

Optimization Problems ◽

Riccati Equations ◽

Quadratic Optimization ◽

Singularly Perturbed ◽

Linear Quadratic ◽

Differential Matrix

Download Full-text

A robust domain decomposition method for singularly perturbed parabolic reaction-diffusion systems

Journal of Mathematical Chemistry ◽

10.1007/s10910-019-01026-z ◽

2019 ◽

Vol 57 (5) ◽

pp. 1557-1578 ◽

Author(s):

Sunil Kumar ◽

Joginder Singh ◽

Mukesh Kumar

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

Download Full-text

Existence of a global coexistence state for periodic competition diffusion systems

Nonlinear Analysis ◽

10.1016/s0362-546x(97)82873-8 ◽

1997 ◽

Vol 28 (7) ◽

pp. 1265-1271 ◽

Author(s):

Fu Shengmao ◽

Ma Ruyun

Keyword(s):

Diffusion Systems ◽

Coexistence State ◽

Competition Diffusion

Download Full-text