{"title":"Mechanical normal dispersive 𝒩ℒℋ𝒮 shock waves of microfluidics in shallow model","authors":"Fatih Şevgin, Talat Körpinar","doi":"10.1142/s0217984924503810","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we obtain normal dispersive <span><math altimg=\"eq-00003.gif\" display=\"inline\"><mi mathvariant=\"cal\">𝒩</mi><mi mathvariant=\"cal\">ℒ</mi><mi mathvariant=\"cal\">ℋ</mi><mi mathvariant=\"cal\">𝒮</mi></math></span><span></span> shock waves for <span><math altimg=\"eq-00004.gif\" display=\"inline\"><mi>ϕ</mi><mo stretchy=\"false\">(</mo><msub><mrow><mi mathvariant=\"cal\">𝒥</mi></mrow><mrow><mn>1</mn></mrow></msub><mo stretchy=\"false\">)</mo><mo>,</mo><mi>ϕ</mi><mo stretchy=\"false\">(</mo><msub><mrow><mi mathvariant=\"cal\">𝒥</mi></mrow><mrow><mn>2</mn></mrow></msub><mo stretchy=\"false\">)</mo><mo>,</mo><mi>ϕ</mi><mo stretchy=\"false\">(</mo><msub><mrow><mi mathvariant=\"cal\">𝒥</mi></mrow><mrow><mn>3</mn></mrow></msub><mo stretchy=\"false\">)</mo></math></span><span></span> dam-break intensity by the nonlinear heat system. Then, we obtain super-fluid normal dispersive <span><math altimg=\"eq-00005.gif\" display=\"inline\"><mi mathvariant=\"cal\">𝒩</mi><mi mathvariant=\"cal\">ℒ</mi><mi mathvariant=\"cal\">ℋ</mi><mi mathvariant=\"cal\">𝒮</mi></math></span><span></span> shock waves for <span><math altimg=\"eq-00006.gif\" display=\"inline\"><mi>ϕ</mi><mo stretchy=\"false\">(</mo><msub><mrow><mi mathvariant=\"cal\">𝒥</mi></mrow><mrow><mn>1</mn></mrow></msub><mo stretchy=\"false\">)</mo><mo>,</mo><mi>ϕ</mi><mo stretchy=\"false\">(</mo><msub><mrow><mi mathvariant=\"cal\">𝒥</mi></mrow><mrow><mn>2</mn></mrow></msub><mo stretchy=\"false\">)</mo><mo>,</mo><mi>ϕ</mi><mo stretchy=\"false\">(</mo><msub><mrow><mi mathvariant=\"cal\">𝒥</mi></mrow><mrow><mn>3</mn></mrow></msub><mo stretchy=\"false\">)</mo></math></span><span></span> dam-break microfluidics. Finally, we illustrate thermonormal <span><math altimg=\"eq-00007.gif\" display=\"inline\"><mi mathvariant=\"cal\">𝒩</mi><mi mathvariant=\"cal\">ℒ</mi><mi mathvariant=\"cal\">ℋ</mi><mi mathvariant=\"cal\">𝒮</mi></math></span><span></span> pressure of <span><math altimg=\"eq-00008.gif\" display=\"inline\"><mi>ϕ</mi><mo stretchy=\"false\">(</mo><msub><mrow><mi mathvariant=\"cal\">𝒥</mi></mrow><mrow><mn>1</mn></mrow></msub><mo stretchy=\"false\">)</mo><mo>,</mo><mi>ϕ</mi><mo stretchy=\"false\">(</mo><msub><mrow><mi mathvariant=\"cal\">𝒥</mi></mrow><mrow><mn>2</mn></mrow></msub><mo stretchy=\"false\">)</mo><mo>,</mo><mi>ϕ</mi><mo stretchy=\"false\">(</mo><msub><mrow><mi mathvariant=\"cal\">𝒥</mi></mrow><mrow><mn>3</mn></mrow></msub><mo stretchy=\"false\">)</mo></math></span><span></span> wave energy with normal dam-break in shallow water.</p>","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217984924503810","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we obtain normal dispersive shock waves for dam-break intensity by the nonlinear heat system. Then, we obtain super-fluid normal dispersive shock waves for dam-break microfluidics. Finally, we illustrate thermonormal pressure of wave energy with normal dam-break in shallow water.
期刊介绍：
MPLB opens a channel for the fast circulation of important and useful research findings in Condensed Matter Physics, Statistical Physics, as well as Atomic, Molecular and Optical Physics. A strong emphasis is placed on topics of current interest, such as cold atoms and molecules, new topological materials and phases, and novel low-dimensional materials. The journal also contains a Brief Reviews section with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
