Solitary wave families of a generalized microstructure PDE [PDF]
, 2009 Wave propagation in a generalized microstructure PDE, tinder the Mindlin relations, is considered. Limited analytic results exist for the occurrence of one family of solitary wave solutions of these equations.
Choudhury, S. R., Leto, J. A.
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LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS [PDF]
, 2011 We present a unified approach to study large positive solutions (i.e., u(x) -> infinity as x -> partial derivative Omega) of the equation Delta u + hu - k psi(u) = -f in an arbitrary domain Omega.
Martin Dindoš, Dindos, Martin; id_orcid
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On the stationary Cahn-Hilliard equation: Interior spike solutions [PDF]
, 1998 We study solutions of the stationary Cahn-Hilliard equation in a bounded smooth domain which have a spike in the interior. We show that a large class of interior points (the "nondegenerate peak" points) have the following property: there exist such ...
Winter, M, Wei, J
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Regular and embedded solitons in a generalized Pochammer PDE [PDF]
, 2009 Variational methods are employed to generate families of both regular and embedded solitary wave solutions for a generalized Pochammer PDE that is currently of great interest.
Roy Choudhury, S., Smith, Todd B.
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Portopulmonary hypertension practice patterns after liver transplantation
Liver Transplantation, EarlyView., 2022 Abstract Portopulmonary hypertension (POPH) is a type of pulmonary arterial hypertension occurring exclusively in those with portal hypertensive liver disease. Liver transplantation (LT) can significantly improve outcomes. Current guidelines counsel against immediate adjustments to targeted therapy after LT and suggest routine echocardiography as ...
Arun Jose +3 more
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The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications [PDF]
, 2008 This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, X. +5 more
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On the Stationary Cahn-Hilliard Equation: Bubble Solutions [PDF]
, 1998 We study stationary solutions of the Cahn--Hilliard equation in a bounded smooth domain which have an interior spherical interface (bubbles). We show that a large class of interior points (the ``nondegenerate peak'' points) have the following ...
Winter, M +3 more
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Multi-interior-spike solutions for the Cahn-Hilliard equation with arbitrarily many peaks [PDF]
, 2000 We study the Cahn-Hilliard equation in a bounded smooth domain without any symmetry assumptions. We prove that for any fixed positive integer K there exist interior $K$--spike solutions whose peaks have maximal possible distance from the boundary ...
Winter, M, Wei, J
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Existence of global weak solutions to some regularized kinetic models for dilute polymers [PDF]
, 2007 Published ...
Sueli, E, Suli, E, Barrett, JW
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LOCAL EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PDE MODEL FOR CRIMINAL BEHAVIOR [PDF]
, 2010 The analysis of criminal behavior with mathematical tools is a fairly new idea, but one which can be used to obtain insight on the dynamics of crime. In a recent work,34 Short et al.
NANCY RODRIGUEZ, ANDREA BERTOZZI
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