Existence and stability of solutions with internal transition layer for the reaction-diffusion-advection equation with a KPZ-nonlinearity (Q6050085)

scientific article; zbMATH DE number 7748696

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English	Existence and stability of solutions with internal transition layer for the reaction-diffusion-advection equation with a KPZ-nonlinearity	scientific article; zbMATH DE number 7748696

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instance of

scholarly article

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title

Existence and stability of solutions with internal transition layer for the reaction-diffusion-advection equation with a KPZ-nonlinearity (English)

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Differential Equations

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publication date

12 October 2023

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1134/s0012266123080013

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cites work

On a contrast steplike structure for a class of second-order nonlinear singularly perturbed equations

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A spikelike solution and a critical steplike solution to a singularly perturbed second-order equation

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On the existence and asymptotic stability of periodic contrast structures in quasilinear reaction-advection-diffusion equations

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Existence and asymptotic stability of periodic two-dimensional contrast structures in the problem with weak linear advection

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Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications

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Contrast structures in problems for a stationary equation of reaction-diffusion-advection type with discontinuous nonlinearity

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Existence of contrast structures in a problem with discontinuous reaction and advection

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Contrast structures in the reaction-diffusion-advection problem in the case of a weak reaction discontinuity

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Multidimensional thermal structures in the singularly perturbed stationary models of heat and mass transfer with a nonlinear thermal diffusion coefficient

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ON EQUATIONS OF THE FORM $ \Delta u = f(x, u, Du)$

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Decay of nonnegative solutions of singular parabolic equations with KPZ-nonlinearities

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On qualitative properties of solutions to quasilinear parabolic equations admitting degenerations at infinity

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Q4002771

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Asymptotic theory of contrast structures (review)

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Q3126312

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Q4371168

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Existence and stability of periodic contrast structures in the reaction-advection-diffusion problem

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Existence and stability of periodic contrast structures in the reaction-advection-diffusion problem in the case of a balanced nonlinearity

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Geometric theory of semilinear parabolic equations

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On unstable contrast structures in one-dimensional reaction-diffusion-advection problems with discontinuous sources

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Q3568190

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Identifiers

zbMATH Open document ID

1526.34037

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DOI

10.1134/s0012266123080013

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6050085