$$L^\infty $$ Ill-Posedness for a Class of Equations Arising in Hydrodynamics
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DOI: 10.1007/s00205-019-01457-7
Abstract: We give a new approach to studying norm inflation (in some critical spaces) for a wide class of equations arising in hydrodynamics. As an application, we prove strong ill-posedness of the n-dimensional Euler equations in… read more here.
Keywords: arising hydrodynamics; class; class equations; equations arising ... See more keywords
Wavelet-Based Approximation Algorithms for Some Nonlinear Oscillator Equations Arising in Engineering
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DOI: 10.1007/s40032-019-00517-x
Abstract: In this paper, we have applied the wavelet-based computational algorithms to solve some nonlinear oscillator equations arising in engineering. Operational matrices of derivatives are used to convert nonlinear differential equation into a system of linear/nonlinear… read more here.
Keywords: wavelet based; arising engineering; equations arising; wavelet ... See more keywords
Classification of solutions of elliptic equations arising from a gravitational O(3) gauge field model
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DOI: 10.1016/j.jde.2017.12.030
Abstract: Abstract In this paper, we study an elliptic equation arising from the self-dual Maxwell gauged O ( 3 ) sigma model coupled with gravity. When the parameter τ equals 1 and there is only one… read more here.
Keywords: elliptic equations; equations arising; model; solutions elliptic ... See more keywords
Well-Posed Solvability and the Representation of Solutions of Integro-Differential Equations Arising in Viscoelasticity
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DOI: 10.1134/s0012266119040141
Abstract: For abstract integro-differential equations with unbounded operator coefficients in a Hilbert space, we study the well-posed solvability of initial problems and carry out spectral analysis of the operator functions that are symbols of these equations.… read more here.
Keywords: integro differential; well posed; arising viscoelasticity; differential equations ... See more keywords