Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in RN
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.9902
Abstract: In studying heterogeneous diffusion phenomena beyond the classical order 2 Laplacian, higher order operators emerge as powerful tools. When such operators are applied, the resultant profiles often showcase an oscillatory nature that may be noticeable… read more here.
Keywords: higher order; semigroup theory; theory analysis; analysis solutions ... See more keywords
Recent developments in inverse semigroup theory
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DOI: 10.1007/s00233-019-10067-4
Abstract: After reviewing aspects of the development of inverse semigroup theory, we describe an approach to studying them which views them as ‘non-commutative meet semilattices’. This leads to non-commutative versions of Stone duality and connections with… read more here.
Keywords: semigroup theory; recent developments; developments inverse; inverse semigroup ... See more keywords
A Rigorous Integrator and Global Existence for Higher-Dimensional Semilinear Parabolic PDEs via Semigroup Theory
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DOI: 10.1007/s10915-024-02785-x
Abstract: In this paper, we introduce a general constructive method to compute solutions of initial value problems of semilinear parabolic partial differential equations on hyper-rectangular domains via semigroup theory and computer-assisted proofs. Once a numerical candidate… read more here.
Keywords: existence; semigroup theory; global existence; via semigroup ... See more keywords
An application of semigroup theory to the coagulation-fragmentation models
Sign Up to like & getrecommendations! Published in 2021 at "TURKISH JOURNAL OF MATHEMATICS"
DOI: 10.3906/mat-2101-114
Abstract: Abstract: We present the existence and uniqueness of strong solutions for the continuous coagulation-fragmentation equation with singular fragmentation and essentially bounded coagulation kernel using semigroup theory of operators. Initially, we reformulate the coupled coagulation-fragmentation problem… read more here.
Keywords: coagulation; coagulation fragmentation; semigroup theory; fragmentation equation ... See more keywords