$$L^\infty $$ Ill-Posedness for a Class of Equations Arising in Hydrodynamics
Sign Up to like & getrecommendations! Published in 2019 at "Archive for Rational Mechanics and Analysis"
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
Sign Up to like & getrecommendations! Published in 2019 at "Journal of The Institution of Engineers (India): Series C"
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
Boundary value problems of nonlinear Maxwell equations arising in mesoscopic electromagnetism
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DOI: 10.1080/00036811.2024.2426081
Abstract: We consider boundary value problems of (general) nonlinear Maxwell equations arising in mesoscopic electromagnetism. The Morse indices of the solution continua are obtained and the structure of positive solutions of the problems are characterized. read more here.
Keywords: equations arising; nonlinear maxwell; boundary value; electromagnetism ... See more keywords
An Inversion-Free Iterative Algorithm With a Scalar Tuning Parameter for Coupled Riccati Matrix Equations Arising in LQ Optimal Control of Markov Jump Systems
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DOI: 10.1109/tac.2024.3476993
Abstract: In this article, iterative algorithms are investigated to solve the Riccati algebraic matrix equations arising in the context of linear quadratic (LQ) optimal control of discrete-time Markov jump systems. By using the matrix inversion lemma,… read more here.
Keywords: equations arising; coupled riccati; optimal control; matrix equations ... 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
Solutions of the KdV-MKdV equations arising in non-linear elastic rods under fractal dimension
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DOI: 10.2298/tsci2403125s
Abstract: A prediction of rod wave type with great precision is extremely important in theoretical analysis and practical applications. Besides the well-known periodic motion and resonance, this paper studies the rod wave in a fractal space,… read more here.
Keywords: non linear; arising non; equations arising; mkdv equations ... See more keywords