Results 11 to 20 of about 171,037 (334)
Traveling wave solutions for a class of reaction-diffusion system
Boundary Value Problems, 2021 In this paper we investigate the existence of traveling wave for a one-dimensional reaction diffusion system. We show that this system has a unique translation traveling wave solution.
Bingyi Wang, Yang Zhang
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Traveling waves in cooperative predation: relaxation of sublinearity
Mathematics in Applied Sciences and Engineering, 2021 In this paper, we investigate traveling wave solutions of a diffusive predator-prey model which takes into consideration hunting cooperation. Sublinearity condition is violated for the function of cooperative predation. When the basic reproduction number
Srijana Ghimire, Xiang-Sheng Wang
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Exact Traveling Wave Solutions in Viscoelastic Channel Flow [PDF]
Physical Review Letters, 2020 Elasto-inertial turbulence (EIT) is a new, two-dimensional chaotic flow state observed in polymer solutions with possible connections to inertialess elastic turbulence and drag-reduced Newtonian turbulence. In this Letter, we argue that the origins of EIT are fundamentally different from Newtonian turbulence by finding a dynamical connection between ...
Jacob Page +2 more
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Long-term filtration of particles in a porous medium [PDF]
BIO Web of ConferencesThe formation of grout sediment in the pores of loose rock increases the water resistance of the soil and strengthens the foundation. A one-dimensional model of filtration in a porous medium considers the particles transport by the flow of a carrier ...
Kuzmina Liudmila, Osipov Yuri
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$L^2$-Stability of Traveling Wave Solutions to Nonlocal Evolution Equations [PDF]
, 2016 Stability of the traveling wave solution to a general class of one-dimensional nonlocal evolution equations is studied in $L^2$-spaces, thereby providing an alternative approach to the usual spectral analysis with respect to the supremum norm.
Lang, Eva, Stannat, Wilhelm
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Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation [PDF]
, 2009 In this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg-de Vries equation.
Johnson, Mathew A.
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The Traveling Wave Solutions in a Mixed-Diffusion Epidemic Model
Fractal and Fractional, 2022 In this paper, we study the traveling wave solution of an epidemic model with mixed diffusion. First, we give two definitions of the minimum wave speeds and prove that they are equivalent.
Ru Hou, Wen-Bing Xu
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Waves of maximal height for a class of nonlocal equations with homogeneous symbols [PDF]
, 2018 We discuss the existence and regularity of periodic traveling-wave solutions of a class of nonlocal equations with homogeneous symbol of order $-r$, where $r>1$.
Bruell, Gabriele, Dhara, Raj Narayan
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FUNCTIONAL EXPANSIONS FOR FINDING TRAVELING WAVE SOLUTIONS
Journal of Applied Analysis & Computation, 2020 Summary: The paper proposes a generalized analytic approach which allows to find traveling wave solutions for some nonlinear PDEs. The solutions are expressed as functional expansions of the known solutions of an auxiliary equation. The proposed formalism integrates classical approaches as tanh method or \(G^{\prime}/G\) method, but it open the ...
Ionescu, Carmen +2 more
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Traveling waves in a parabolic problem with a rotation on the circle [PDF]
Компьютерные исследования и моделирование, 2017 Optical systems with two-dimensional feedback demonstrate wide possibilities for studying the nucleation and development processes of dissipative structures.
Yuliya Aleksandrovna Khazova
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