Results 11 to 20 of about 2,985 (242)
Minimal positive solutions for systems of semilinear elliptic equations [PDF]
The paper is devoted to a system of nonlinear PDEs containing gradient terms. Applying the approach based on Sattinger's iteration procedure we use sub and supersolutions methods to prove the existence of positive solutions with minimal growth.
Aleksandra Orpel
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Existence and multiplicity of positive solutions for classes of singular elliptic PDEs
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Chhetri, Maya, Robinson, Stephen B.
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The authors show the existence of a positive, bounded weak solution for a system of partial differential equations having a physical origin. The specific character of this system is the coupling of a variable satisfying a partial differential equation in the domain with a variable satisfying a differential equation on the boundary.
Al-arydah, Moʼtassem, Novruzi, Arian
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Symmetry And Monotonicity Properties For Positive Solutions Of Semi-Linear Elliptic Pde'S [PDF]
Symmetry and monotonicity properties for positive solutions of semi-linear elliptic PDE ...
Dolbeault, J., Felmer, P.
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A mathematical analysis is performed to study the flow and heat transfer phenomena of Casson based nanofluid with effects of the porosity parameter and viscous dissipation over the exponentially permeable stretching and shrinking surface.
Sumera Dero +2 more
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Finite elements III: first-order and time-dependent PDEs [PDF]
This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters.
Ern, Alexandre, Guermond, Jean-Luc
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Continuity equations and ODE flows with non-smooth velocity [PDF]
In this paper we review many aspects of the well-posedness theory for the Cauchy problem for the continuity and transport equations and for the ordinary differential equation (ODE). In this framework, we deal with velocity fields that are not smooth, but
Crippa, Gianluca, Ambrosio, Luigi
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A PIE Representation of Coupled Linear 2D PDEs and Stability Analysis using LPIs
We introduce a Partial Integral Equation (PIE) representation of Partial Differential Equations (PDEs) in two spatial variables. PIEs are an algebraic state-space representation of infinite-dimensional systems and have been used to model 1D PDEs and time-
Peet, Matthew M., Jagt, Declan S.
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Positive solutions for super-sublinear indefinite problems: high multiplicity results via coincidence degree [PDF]
We study the periodic boundary value problem associated with the second order nonlinear equation u'' + ( λa^+(t) - μa^-(t) ) g(u) = 0, where g(u) has superlinear growth at zero and sublinear growth at infinity.
Zanolin, Fabio +2 more
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We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semi-linear parabolic PDE with random coefficients does not admit a global nonnegative stationary solution, which implies that an interface that was flat originally cannot get stationary ...
Coville, Jérôme +2 more
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