Well-posedness of the one-dimensional derivative nonlinear Schrödinger equation [PDF]
, 2018 This thesis is concerned with the well-posedness of the one-dimensional derivative non-linear Schrodinger equation (DNLS). In particular, we study the initial-value problem associated to DNLS with low-regularity initial data in two settings: (i) on the
Moşincat, Răzvan Octavian
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Mathematical Modeling and Analysis of TB and COVID-19 Coinfection
Journal of Applied Mathematics, 2022 Tuberculosis (TB) and coronavirus (COVID-19) are both infectious diseases that globally continue affecting millions of people every year. They have similar symptoms such as cough, fever, and difficulty breathing but differ in incubation periods.
Kassahun Getnet Mekonen +3 more
doaj +1 more source
WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR p-EVOLUTION SYSTEMS OF PSEUDO-DIFFERENTIAL OPERATORS [PDF]
, 2013 We study p-evolution pseudo-differential systems of the first order with coefficients in (t,x) and real characteristics. We find sufficient conditions for the well-posedness of the Cauchy problem in H∞.
Ascanelli, Alessia, Boiti, Chiara
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Mathematical modeling and analysis for the co-infection of COVID-19 and tuberculosis
Heliyon, 2022 We developed a TB-COVID-19 co-infection epidemic model using a non-linear dynamical system by subdividing the human population into seven compartments. The biological well-posedness of the formulated mathematical model was studied via proving properties ...
Kassahun Getnet Mekonen +1 more
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Lagrangian flows for vector fields with gradient given by a singular integral [PDF]
, 2013 We prove quantitative estimates on ows of ordinary di erential equations with vector field with gradient given by a singular integral of an L1 function.
Crippa, Gianluca, Bouchut, Francois
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On the well-posedness of weakly hyperbolic equations with time-dependent coefficients [PDF]
, 2012 30.10.12 KB.
Garetto, Claudia +7 more
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Well-posedness and stability for abstract spline problems [PDF]
, 2007 In this work well-posedness and stability properties of the abstract spline problem are studied in the framework of reflexive spaces. Tykhonov well-posedness is proved without restrictive assumptions. In the context of Hilbert spaces, also the stronger
MOLHO, ELENA +4 more
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Well-posedness of a model for water waves with viscosity [PDF]
, 2012 The water wave equations of ideal free–surface fluid mechanics are a fundamental model of open ocean movements with a surprisingly subtle well–posedness theory.
David Ambrose (7936688) +2 more
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Local and global well-posedness for nonlinear Dirac type equations [PDF]
, 2012 We investigate the local and global well-posedness of a variety of nonlinear Dirac type equations with null structure on R1+1. In particular, we prove global existence in L2 for a nonlinear Dirac equation known as the Thirring model. Local existence in
Candy, Timothy Lars
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Study of an SIQR model with optimal control techniques: A mathematical approach
Results in Control and Optimization, 2023 In this article, a SIQR deterministic model with a non-linear incidence function for an infectious disease is formulated and analyzed. The well-posedness of the model is ensured with the help of the non-negativity and boundedness of the solution of the ...
Sudha Yadav +2 more
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