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   Articles with "local existence" as a keyword



Local existence and nonexistence of fractional Rayleigh–Stokes equations with a superlinear source term

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recommendations! Published in 2025 at "Mathematische Nachrichten"

DOI: 10.1002/mana.12010

Abstract: Fractional Rayleigh–Stokes equations can be described as the viscoelasticity of non‐Newtonian fluids behavior for a generalized second grade fluid. In this paper, we present the monotone iteration method to investigate the nonlinear fractional Rayleigh–Stokes equations… read more here.

Keywords: stokes equations; fractional rayleigh; local existence; rayleigh stokes ... See more keywords

On local existence and blowup of solutions for a time‐space fractional diffusion equation with exponential nonlinearity

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recommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5476

Abstract: In this paper, we are concerned with local existence and blowup of a unique solution to a time‐space fractional evolution equation with a time nonlocal nonlinearity of exponential growth. At first, we prove the existence… read more here.

Keywords: time; existence; time space; local existence ... See more keywords
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Navier–Stokes equations: local existence, uniqueness and blow-up of solutions in Sobolev–Gevrey spaces

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recommendations! Published in 2019 at "Applicable Analysis"

DOI: 10.1080/00036811.2019.1671974

Abstract: ABSTRACT This work establishes local existence and uniqueness as well as blow-up criteria for solutions of the Navier–Stokes equations in Sobolev–Gevrey spaces . More precisely, if it is assumed that the initial data belongs to… read more here.

Keywords: sobolev gevrey; existence; existence uniqueness; stokes equations ... See more keywords

LOCAL EXISTENCE AND EXPONENTIAL DECAY OF SOLUTIONS FOR A NONLINEAR PSEUDOPARABOLIC EQUATION WITH VISCOELASTIC TERM

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recommendations! Published in 2021 at "Nonlinear functional analysis and applications"

DOI: 10.22771/nfaa.2021.26.01.03

Abstract: In this paper, we investigate an initial boundary value problem for a nonlinear pseudoparabolic equation. At first, by applying the Faedo-Galerkin, we prove local existence and uniqueness results. Next, by constructing Lyapunov functional, we establish… read more here.

Keywords: local existence; pseudoparabolic equation; nonlinear pseudoparabolic; existence exponential ... See more keywords

On the local existence of solutions to an abstract quasilinear second order Kirchhoff equation with a nonlinear inhomogeneous term

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recommendations! Published in 2025 at "Filomat"

DOI: 10.2298/fil2513489h

Abstract: The purpose of this paper is the study of the local existence of solutions to an abstract quasi-linear Kirchhoff equation with a nonlinear in-homogeneous term submitted to an internal viscous damping of fractional type. We… read more here.

Keywords: solutions abstract; existence; existence solutions; local existence ... See more keywords