Found 399 Documents (Results 1–100)
On the speed of propagation in Turing patterns for reaction-diffusion systems. (English) Zbl 07893197
Transition fronts of combustion reaction-diffusion equations around an obstacle. (English) Zbl 1543.35066
Travelling waves for a fast reaction limit of a discrete coagulation-fragmentation model with diffusion and proliferation. (English) Zbl 1541.35516
Curved fronts in time-periodic reaction-diffusion equations with monostable nonlinearity. (English) Zbl 1541.35285
The role of convection in the limit shape of the critical front profile for Born-Infeld diffusion models. (English) Zbl 1540.35091
Asymptotic study of critical wave fronts for parameter-dependent Born-Infeld models: physically predicted behaviors and new phenomena. (English) Zbl 1531.35109
Pushed fronts in a Fisher-KPP-Burgers system using geometric desingularization. (English) Zbl 1536.35127
Pulsating fronts of spatially periodic bistable reaction-diffusion equations around an obstacle. (English) Zbl 1527.35103
Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts. (English) Zbl 1536.35176
Reviewer: Anna Ghazaryan (Oxford)
Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicty. (English) Zbl 1526.35037
Convergence to a terrace solution in multistable reaction-diffusion equation with discontinuities. (English) Zbl 1521.35034
The stability of curved fronts of monostable reaction-advection-diffusion equations in space-time periodic media. (English) Zbl 1518.35201
Stability of periodic traveling fronts for a time-space periodic dengue transmission model. (English) Zbl 1518.35197
Front transport reduction for complex moving fronts. Nonlinear model reduction for an advection-reaction-diffusion equation with a Kolmogorov-Petrovsky-Piskunov reaction term. (English) Zbl 07708370
Nonplanar traveling fronts of the diffusion system with Belousov-Zhabotinskii reaction in \(\mathbb{R}^3\). (English) Zbl 1516.35168
Propagation phenomena for nonlocal dispersal equations in exterior domains. (English) Zbl 1516.35029
Propagation dynamics of nonlocal dispersal equations with bistable nonlinearity in spatially periodic media. (English) Zbl 1512.35024
Periodic curved fronts in reaction-diffusion equations with ignition time-periodic nonlinearity. (English) Zbl 1512.35147
The stability of diverging traveling fronts and threshold phenomenon for the buffered bistable system. (English) Zbl 1511.35217
Spreading speeds determinacy for a cooperative Lotka-Volterra system with stacked fronts. (English) Zbl 1510.35101
Global stability of critical-speed pulsating fronts for degenerate monostable reactions. (English) Zbl 1509.35092
Introduction to traveling waves. (English) Zbl 1541.35002
Boca Raton, FL: CRC Press (ISBN 978-0-367-70705-7/hbk; 978-0-367-70702-6/pbk; 978-1-003-14761-9/ebook). xiii, 160 p. (2023).
Uniqueness and global stability of V-shaped fronts for the buffered bistable system in \(\mathbb{R}^2\). (English) Zbl 1505.35032
Traveling waves, blow-up, and extinction in the Fisher-Stefan model. (English) Zbl 1530.92185
Reviewer: Takashi Suzuki (Osaka)
Spectral stability of monotone traveling fronts for reaction diffusion-degenerate Nagumo equations. (English) Zbl 1505.35248
Regular traveling waves for a reaction-diffusion equation with two nonlocal delays. (English) Zbl 1505.35083
Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility. (English) Zbl 1507.35300
Reviewer: Eugene Postnikov (Kursk)
Asymptotic solution of the boundary control problem for a Burgers-type equation with modular advection and linear gain. (English. Russian original) Zbl 1504.35036
Comput. Math. Math. Phys. 62, No. 11, 1849-1858 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 11, 1851-1860 (2022).
Asymptotic spreading of KPP reactive fronts in heterogeneous shifting environments. (English. French summary) Zbl 1507.35040
Reviewer: Thomas Giletti (Vandœuvre-lès-Nancy)
Sharp large time behaviour in \(N\)-dimensional reaction-diffusion equations of bistable type. (English) Zbl 1528.35016
Reviewer: Ge Tian (Lanzhou)
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case. (English) Zbl 1495.35075
Traveling curved fronts in the buffered bistable systems in \(\mathbb{R}^2\). (English) Zbl 1491.35113
Traveling wave solutions for nonlinear reaction-diffusion equations as dynamical systems problems. (English) Zbl 1490.35091
Spreading speed and periodic traveling waves of a time periodic and diffusive SI epidemic model with demographic structure. (English) Zbl 1487.35222
Modulating traveling fronts in a dispersive Swift-Hohenberg equation coupled to an additional conservation law. (English) Zbl 1489.35010
Reviewer: Guido Schneider (Stuttgart)
Existence and stability of traveling curved fronts for nonlocal dispersal equations with bistable nonlinearity. (English) Zbl 1486.35118
Populations facing a nonlinear environmental gradient: steady states and pulsating fronts. (English) Zbl 1486.35112
Qualitative properties of pulsating fronts for reaction-advection-diffusion equations in periodic excitable media. (English) Zbl 1487.35165
Reviewer: Bastian Hilder (Lund)
On the existence and monotonicity of curved fronts in a periodic shear flow. (English) Zbl 1510.35100
Cylindrically symmetric traveling fronts for nonlocal delayed diffusion equation with bistable nonlinearity. (Chinese. English summary) Zbl 1524.35108
Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications. (English. Russian original) Zbl 1481.35009
Comput. Math. Math. Phys. 61, No. 12, 2068-2087 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 2074-2094 (2021).
Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion. (English) Zbl 1478.35036
Curved fronts of bistable reaction-diffusion equations in spatially periodic media. (English) Zbl 1483.35116
Reviewer: Jia-Bing Wang (Wuhan)
Spreading speeds and pulsating fronts for a field-road model in a spatially periodic habitat. (English) Zbl 1474.35116
Traveling fronts in balanced bistable reaction-diffusion equations. (English) Zbl 1469.35081
Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 417-428 (2021).
Traveling front solutions in reaction-diffusion equations. (English) Zbl 1480.35002
MSJ Memoirs 39. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-097-6/pbk). xiii, 170 p. (2021).
Reviewer: Anna Ghazaryan (Oxford)
Vanishing diffusion limits for planar fronts in bistable models with saturation. (English) Zbl 1462.35030
Entire solutions of time periodic bistable Lotka-Volterra competition-diffusion systems in \(\mathbb{R}^N\). (English) Zbl 1462.35023
Reviewer: Takashi Suzuki (Osaka)
On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity. (English. Russian original) Zbl 1477.35017
Dokl. Math. 102, No. 1, 283-287 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 26-31 (2020).
Dynamical stabilization and traveling waves in integrodifference equations. (English) Zbl 1479.37080
Wave propagation and its stability for a class of discrete diffusion systems. (English) Zbl 1464.35055
Exponential stability of traveling waves fronts for nonlocal diffusion equation with delayed nonlocal response. (Chinese. English summary) Zbl 1474.35099
On a periodic inner layer in the reaction-diffusion problem with a modular cubic source. (English. Russian original) Zbl 1451.35017
Comput. Math. Math. Phys. 60, No. 9, 1461-1479 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 9, 1513-1532 (2020).
Spectral stability of traveling fronts for reaction diffusion-degenerate Fisher-KPP equations. (English) Zbl 1439.35272
Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. II: Generic nonlinearities. (English) Zbl 1439.35200
Modulating traveling fronts for the Swift-Hohenberg equation in the case of an additional conservation law. (English) Zbl 1441.35092
Phase transitions of biological phenotypes by means of a prototypical PDE model. (English) Zbl 1462.35416
Reviewer: Johannes Lankeit (Hannover)
Axisymmetric traveling fronts in balanced bistable reaction-diffusion equations. (English) Zbl 1435.35111
Periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity. (English) Zbl 1427.35131
Nonlocal dispersal cooperative systems: acceleration propagation among species. (English) Zbl 1428.35074
Uniqueness and stability of time-periodic pyramidal fronts for a periodic competition-diffusion system. (English) Zbl 1423.35160
Travelling fronts in time-delayed reaction-diffusion systems. (English) Zbl 1464.35150
Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2153, Article ID 20180127, 13 p. (2019).
Existence and qualitative features of entire solutions for delayed reaction diffusion system: the monostable case. (English) Zbl 1461.35015
Depinning of traveling waves in ergodic media. (English) Zbl 1448.35075
Korobeinikov, Andrei (ed.) et al., Extended abstracts Spring 2018. Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications. Selected papers based on the presentations of the joint 9th international workshop on MUlti-Rate Processes and HYSteresis and the 4th international workshop on hysteresis and slow-fast systems, MURPHYS-HSFS-2018, Barcelona, Spain, May 29 – June 1, 2018. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 11, 283-287 (2019).
Front transition in higher order diffusion equations with a general reaction nonlinearity. (English) Zbl 1441.35143
MSC:
35K57
Traveling wave fronts for the nonlocal dispersal equation with state-dependent delay. (Chinese. English summary) Zbl 1449.35147
Pulsating type entire solutions originating from three fronts for a bistable reaction-advection-diffusion equation in periodic media. (English) Zbl 1430.35012
Invasion fronts outside the homoclinic snaking region in the planar Swift-Hohenberg equation. (English) Zbl 1430.35028
Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction-advection-diffusion models. (English. Russian original) Zbl 1422.65299
Comput. Math. Math. Phys. 59, No. 1, 46-58 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 1, 50-62 (2019).
Monotone wave fronts for \((p, q)\)-Laplacian driven reaction-diffusion equations. (English) Zbl 1516.35162
Global stability of curved fronts in the Belousov-Zhabotinskii reaction-diffusion system in \(\mathbb{R}^2\). (English) Zbl 1409.35097
Bifurcation to locked fronts in two component reaction-diffusion systems. (English) Zbl 1475.35032
Reviewer: Guowei Dai (Dalian)
Invasion fronts on graphs: the Fisher-KPP equation on homogeneous trees and Erdős-Réyni graphs. (English) Zbl 1410.35267
Existence of travelling wave fronts of two-dimensional reaction-diffusion systems. (Chinese. English summary) Zbl 1424.35098
Entire solution in cylinder-like domains for a bistable reaction-diffusion equation. (English) Zbl 1516.35028
Entire solutions of monotone bistable reaction-diffusion systems in \(\mathbb{R}^N\). (English) Zbl 1403.35021
Variational characterization of the speed of reaction diffusion fronts for gradient dependent diffusion. (English) Zbl 1401.35174
Reviewer: Dian K. Palagachev (Bari)
Spatial decay and stability of traveling fronts for degenerate Fisher type equations in cylinder. (English) Zbl 1400.35029
A new estimate on the minimal wave speed for travelling fronts in reaction-diffusion-convection equations. (English) Zbl 1413.35258
Propagation of monostable traveling fronts in discrete periodic media with delay. (English) Zbl 1393.35107
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