Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions. [PDF]
J Inequal Appl, 2018 Ding J.
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The cauchy problem for an elliptic parabolic operator [PDF]
, 1968 D. Sather, J. O. Sather
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The Existence of Moving Spike Patterns in an Attractive Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We prove rigorously the existence of moving spike patterns in an attractive chemotaxis model with small diffusion coefficient for the chemical. In the zero diffusion limit, ϵ→0$$ \epsilon \to 0 $$, we prove that the non‐monotone traveling wave solutions of the system with ϵ>0$$ \epsilon >0 $$ converge to those of the system with ϵ=0$$ \epsilon
Tong Li, Casey Stone
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Nonlinearity in parallel compliance can be exploited to improve the performance of locomotion systems in terms of (1) energy efficiency, (2) control robustness, and (3) gait optimality; that is, attaining energy efficiency across a set of motions. Thus far, the literature has investigated and validated only the first two benefits.
Rezvan Nasiri +3 more
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The Numerical Solution of Sequential Decision Problems Involving Parabolic Equations with Moving Boundaries [PDF]
, 1966 Jorge Vicente Malik Lindley, A.A. Wragg
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Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space. [PDF]
Numer Math (Heidelb), 2017 Bause M, Radu FA, Köcher U.
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Fundamental solutions of parabolic differential equations and boundary value problems
, 1957 Seizô Itô
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Generalized Du Fort–Frankel Methods for Parabolic Initial-Boundary Value Problems [PDF]
, 1976 David Gottlieb, Bertil Gustafsson
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This article investigates the nonlinear vibration behavior of porous multidirectional piezoelectric functionally graded nonuniform (PFGN) plates resting on orthotropic variable elastic foundations and subjected to hygrothermal loading. The sigmoidal law is employed to define the multidirectional gradation properties, incorporating porosity ...
Pawan Kumar +2 more
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A conservative algorithm for parabolic problems in domains with moving boundaries. [PDF]
J Comput Phys, 2014 Novak IL, Slepchenko BM.
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