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RISS 인기검색어
- 검색키워드
- 저자 : S. C. Martha (검색결과 5 건)
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INTERACTION OF SURFACE WATER WAVES WITH SMALL BOTTOM UNDULATION ON A SEA-BED
Martha, S.C.,Bora, S.N.,Chakrabarti, A. The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.5
The problem of interaction of surface water waves by small undulation at the bottom of a laterally unbounded sea is treated on the basis of linear water wave theory for both normal and oblique incidences. Perturbation analysis is employed to obtain the first order corrections to the reflection and transmission coefficients in terms of integrals involving the shape function c(x) representing the bottom undulation. Fourier transform method and residue theorem are applied to obtain these coefficients. As an example, a patch of sinusoidal ripples is considered in both the cases as the shape function. The principal conclusion is that the reflection coefficient is oscillatory in the ratio of twice the surface wave number to the wave number of the ripples. In particular, there is a Bragg resonance between the surface waves and the ripples, which is associated with high reflection of incident wave energy. The theoretical observations are validated computationally.
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Interaction of surface water waves with small bottom undulation on a sea-bed
S. C. Martha,S. N. Bora,A. Chakrabarti 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.5
The problem of interaction of surface water waves by small undulation at the bottom of a laterally unbounded sea is treated on the basis of linear water wave theory for both normal and oblique incidences. Perturbation analysis is employed to obtain the first order corrections to the reflection and transmission coefficients in terms of integrals involving the shape function c(x) representing the bottom undulation. Fourier transform method and residue theorem are applied to obtain these coefficients. As an example, a patch of sinusoidal ripples is considered in both the cases as the shape function. The principal conclusion is that the reflection coefficient is oscillatory in the ratio of twice the surfacewave number to the wave number of the ripples. In particular, there is a Bragg resonance between the surface waves and the ripples, which is associated with high reflection of incident wave energy. The theoretical observations are validated computationally The problem of interaction of surface water waves by small undulation at the bottom of a laterally unbounded sea is treated on the basis of linear water wave theory for both normal and oblique incidences. Perturbation analysis is employed to obtain the first order corrections to the reflection and transmission coefficients in terms of integrals involving the shape function c(x) representing the bottom undulation. Fourier transform method and residue theorem are applied to obtain these coefficients. As an example, a patch of sinusoidal ripples is considered in both the cases as the shape function. The principal conclusion is that the reflection coefficient is oscillatory in the ratio of twice the surfacewave number to the wave number of the ripples. In particular, there is a Bragg resonance between the surface waves and the ripples, which is associated with high reflection of incident wave energy. The theoretical observations are validated computationally
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A. Chakrabarti,S. C. Martha 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.5
A special system of partial differential equations (PDEs) occur in a natural way while studying a class of irrotational inviscid fluid flow problems involving infinite channels. Certain aspects of solutions of such PDEs are analyzed in the context of flow problems involving multiple layers of fluids of different constant densities in a channel associated with arbitrary bottom topography. The whole analysis is divided into two parts-part A and part B. In part A the linearized theory is employed along with the standard Fourier analysis to understand such flow problems and physical quantities of interest are derived analytically. In part B, the same set of problems handled in part A are examined in the light of a weakly nonlinear theory involving perturbation in terms of a small parameter and it is shown that the original problems can be cast into KdV type of nonlinear PDEs involving the bottom topography occurring in one of the coefficients of these equations. Special cases of bottom topography are worked out in detail and expressions for quantities of physical importance are derived.
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Erdong Chen,Martha Sajatovic,Hongyan Liu,Ashley Bukach,Curtis Tatsuoka,Elisabeth Welter,Samantha S. Schmidt,Yvan A. Bamps,Shelley C. Stoll,Tanya M. Spruill,Daniel Friedman,Charles E. Begley,Ross Shego 대한신경과학회 2018 Journal of Clinical Neurology Vol.14 No.2
Background and Purpose Epilepsy is a chronic neurological disease that represents a tremendousburden on both patients and society in general. Studies have addressed how demographicvariables, socioeconomic variables, and psychological comorbidity are related to thequality of life (QOL) of people with epilepsy (PWE). However, there has been less focus on howthese factors may differ between patients who exhibit varying degrees of seizure control. Thisstudy utilized data from the Managing Epilepsy Well (MEW) Network of the Centers for DiseaseControl and Prevention with the aim of elucidating differences in demographic variables,depression, and QOL between adult PWE. Methods Demographic variables, depression, and QOL were compared between PWE whoexperience clinically relevant differences in seizure occurrence. Results Gender, ethnicity, race, education, income, and relationship status did not differ significantlybetween the seizure-frequency categories (p>0.05). People with worse seizure controlwere significantly younger (p=0.039), more depressed (as assessed using the Patient HealthQuestionnaire) (p=0.036), and had lower QOL (as determined using the 10-item Quality of Lifein Epilepsy for Adults scale) (p<0.001). Conclusions The present results underscore the importance of early screening, detection, andtreatment of depression, since these factors relate to both seizure occurrence and QOL in PWE.
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Chakrabarti, A.,Martha, S.C. The Korean Society for Computational and Applied M 2011 Journal of applied mathematics & informatics Vol.29 No.5
A special system of partial differential equations (PDEs) occur in a natural way while studying a class of irrotational inviscid fluid flow problems involving infinite channels. Certain aspects of solutions of such PDEs are analyzed in the context of flow problems involving multiple layers of fluids of different constant densities in a channel associated with arbitrary bottom topography. The whole analysis is divided into two parts-part A and part B. In part A the linearized theory is employed along with the standard Fourier analysis to understand such flow problems and physical quantities of interest are derived analytically. In part B, the same set of problems handled in part A are examined in the light of a weakly non-linear theory involving perturbation in terms of a small parameter and it is shown that the original problems can be cast into KdV type of nonlinear PDEs involving the bottom topography occurring in one of the coefficients of these equations. Special cases of bottom topography are worked out in detail and expressions for quantities of physical importance are derived.
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