FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1993760926> ?p ?o ?g. }

• W1993760926 endingPage "1118" @default.
• W1993760926 startingPage "1041" @default.
• W1993760926 abstract "In this paper we study the wave propagation over a Boltzmann shock profile and obtain pointwise time-asymptotic stability of Boltzmann shocks. We design a <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper T> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>T</mml:mi> </mml:mrow> </mml:mrow> <mml:annotation encoding=application/x-tex>{mathbb T}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-<inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper C> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>C</mml:mi> </mml:mrow> </mml:mrow> <mml:annotation encoding=application/x-tex>{mathbb C}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> scheme to study the coupling of the transverse and compression waves. The pointwise information of the Green’s functions of the Boltzmann equation linearized around the end Maxwellian states of the shock wave provides the basic estimates for the transient waves. The compression of the Boltzmann shock profile together with a low order damping allows for an accurate energy estimate by a localized scalar equation. These two methods are combined to construct an exponentially sharp pointwise linear wave propagation structure around a Boltzmann shock profile. The pointwise estimates thus obtained are strong enough to study the pointwise nonlinear wave coupling and to conclude the convergence with an optimal convergent rate <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper O left-parenthesis 1 right-parenthesis left-bracket left-parenthesis 1 plus t right-parenthesis left-parenthesis 1 plus epsilon t right-parenthesis right-bracket Superscript negative 1 slash 2> <mml:semantics> <mml:mrow> <mml:mi>O</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy=false>)</mml:mo> <mml:mo stretchy=false>[</mml:mo> <mml:mo stretchy=false>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mi>t</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mo stretchy=false>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mi>ε<!-- ε --></mml:mi> <mml:mi>t</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:msup> <mml:mo stretchy=false>]</mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>−<!-- − --></mml:mo> <mml:mn>1</mml:mn> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>/</mml:mo> </mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> <mml:annotation encoding=application/x-tex>O(1)[(1+t)(1+varepsilon t)]^{-1/2}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> around the Boltzmann shock front, where <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=epsilon> <mml:semantics> <mml:mi>ε<!-- ε --></mml:mi> <mml:annotation encoding=application/x-tex>varepsilon</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is the strength of a shock wave." @default.
• W1993760926 created "2016-06-24" @default.
• W1993760926 creator A5041504146 @default.
• W1993760926 date "2010-05-24" @default.
• W1993760926 modified "2023-09-27" @default.
• W1993760926 title "Nonlinear wave propagations over a Boltzmann shock profile" @default.
• W1993760926 cites W1975684220 @default.
• W1993760926 cites W1987539346 @default.
• W1993760926 cites W1994721791 @default.
• W1993760926 cites W1996031736 @default.
• W1993760926 cites W1997038003 @default.
• W1993760926 cites W2027129409 @default.
• W1993760926 cites W2034650031 @default.
• W1993760926 cites W2037291088 @default.
• W1993760926 cites W2044884780 @default.
• W1993760926 cites W2051302508 @default.
• W1993760926 cites W2053442535 @default.
• W1993760926 cites W2069020830 @default.
• W1993760926 cites W2154955497 @default.
• W1993760926 cites W2499202822 @default.
• W1993760926 cites W4233561312 @default.
• W1993760926 cites W4246078812 @default.
• W1993760926 cites W4251108025 @default.
• W1993760926 doi "https://doi.org/10.1090/s0894-0347-2010-00671-6" @default.
• W1993760926 hasPublicationYear "2010" @default.
• W1993760926 type Work @default.
• W1993760926 sameAs 1993760926 @default.
• W1993760926 citedByCount "37" @default.
• W1993760926 countsByYear W19937609262013 @default.
• W1993760926 countsByYear W19937609262014 @default.
• W1993760926 countsByYear W19937609262015 @default.
• W1993760926 countsByYear W19937609262016 @default.
• W1993760926 countsByYear W19937609262017 @default.
• W1993760926 countsByYear W19937609262018 @default.
• W1993760926 countsByYear W19937609262019 @default.
• W1993760926 countsByYear W19937609262020 @default.
• W1993760926 countsByYear W19937609262021 @default.
• W1993760926 countsByYear W19937609262022 @default.
• W1993760926 countsByYear W19937609262023 @default.
• W1993760926 crossrefType "journal-article" @default.
• W1993760926 hasAuthorship W1993760926A5041504146 @default.
• W1993760926 hasBestOaLocation W19937609261 @default.
• W1993760926 hasConcept C11413529 @default.
• W1993760926 hasConcept C121332964 @default.
• W1993760926 hasConcept C134306372 @default.
• W1993760926 hasConcept C165995430 @default.
• W1993760926 hasConcept C2777984123 @default.
• W1993760926 hasConcept C33923547 @default.
• W1993760926 hasConcept C35304006 @default.
• W1993760926 hasConcept C62520636 @default.
• W1993760926 hasConceptScore W1993760926C11413529 @default.
• W1993760926 hasConceptScore W1993760926C121332964 @default.
• W1993760926 hasConceptScore W1993760926C134306372 @default.
• W1993760926 hasConceptScore W1993760926C165995430 @default.
• W1993760926 hasConceptScore W1993760926C2777984123 @default.
• W1993760926 hasConceptScore W1993760926C33923547 @default.
• W1993760926 hasConceptScore W1993760926C35304006 @default.
• W1993760926 hasConceptScore W1993760926C62520636 @default.
• W1993760926 hasIssue "4" @default.
• W1993760926 hasLocation W19937609261 @default.
• W1993760926 hasOpenAccess W1993760926 @default.
• W1993760926 hasPrimaryLocation W19937609261 @default.
• W1993760926 hasRelatedWork W1977732367 @default.
• W1993760926 hasRelatedWork W2031366651 @default.
• W1993760926 hasRelatedWork W2100948566 @default.
• W1993760926 hasRelatedWork W2338117849 @default.
• W1993760926 hasRelatedWork W2796762157 @default.
• W1993760926 hasRelatedWork W2949781804 @default.
• W1993760926 hasRelatedWork W2982765947 @default.
• W1993760926 hasRelatedWork W4221092168 @default.
• W1993760926 hasRelatedWork W4226302564 @default.
• W1993760926 hasRelatedWork W75352797 @default.
• W1993760926 hasVolume "23" @default.
• W1993760926 isParatext "false" @default.
• W1993760926 isRetracted "false" @default.
• W1993760926 magId "1993760926" @default.
• W1993760926 workType "article" @default.