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		<id>http://www.colloquiam.com/wd/index.php?action=history&amp;feed=atom&amp;title=Sharma_et_al_2025a</id>
		<title>Sharma et al 2025a - Revision history</title>
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		<updated>2026-05-11T10:11:54Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://www.colloquiam.com/wd/index.php?title=Sharma_et_al_2025a&amp;diff=321547&amp;oldid=prev</id>
		<title>Scipediacontent at 11:05, 3 July 2025</title>
		<link rel="alternate" type="text/html" href="http://www.colloquiam.com/wd/index.php?title=Sharma_et_al_2025a&amp;diff=321547&amp;oldid=prev"/>
				<updated>2025-07-03T11:05:46Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 11:05, 3 July 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l7&quot; &gt;Line 7:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 7:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Document ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Document ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;pdf&amp;gt;Media:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Draft_Sanchez Pinedo_116516111&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;5008-document&lt;/del&gt;.pdf&amp;lt;/pdf&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;pdf&amp;gt;Media:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Sharma_et_al_2025a_1485_20&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;TSP_RIMNI_64742&lt;/ins&gt;.pdf&amp;lt;/pdf&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>http://www.colloquiam.com/wd/index.php?title=Sharma_et_al_2025a&amp;diff=321536&amp;oldid=prev</id>
		<title>Scipediacontent: Scipediacontent moved page Review 606782670784 to Sharma et al 2025a</title>
		<link rel="alternate" type="text/html" href="http://www.colloquiam.com/wd/index.php?title=Sharma_et_al_2025a&amp;diff=321536&amp;oldid=prev"/>
				<updated>2025-07-03T10:08:08Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Review_606782670784&quot; class=&quot;mw-redirect&quot; title=&quot;Review 606782670784&quot;&gt;Review 606782670784&lt;/a&gt; to &lt;a href=&quot;/public/Sharma_et_al_2025a&quot; title=&quot;Sharma et al 2025a&quot;&gt;Sharma et al 2025a&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr style='vertical-align: top;' lang='en'&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 10:08, 3 July 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='en'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>http://www.colloquiam.com/wd/index.php?title=Sharma_et_al_2025a&amp;diff=321522&amp;oldid=prev</id>
		<title>JSanchez: JSanchez moved page Draft Sanchez Pinedo 116516111 to Review 606782670784</title>
		<link rel="alternate" type="text/html" href="http://www.colloquiam.com/wd/index.php?title=Sharma_et_al_2025a&amp;diff=321522&amp;oldid=prev"/>
				<updated>2025-07-03T09:56:38Z</updated>
		
		<summary type="html">&lt;p&gt;JSanchez moved page &lt;a href=&quot;/public/Draft_Sanchez_Pinedo_116516111&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Sanchez Pinedo 116516111&quot;&gt;Draft Sanchez Pinedo 116516111&lt;/a&gt; to &lt;a href=&quot;/public/Review_606782670784&quot; class=&quot;mw-redirect&quot; title=&quot;Review 606782670784&quot;&gt;Review 606782670784&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr style='vertical-align: top;' lang='en'&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 09:56, 3 July 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='en'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>JSanchez</name></author>	</entry>

	<entry>
		<id>http://www.colloquiam.com/wd/index.php?title=Sharma_et_al_2025a&amp;diff=321521&amp;oldid=prev</id>
		<title>JSanchez: Created page with &quot; == Abstract ==  &lt;p&gt;The current study uses a novel mathematical formulation of temperaturedependent thermoelastic diffusion with multi-phase delays in a rotating frame of refe...&quot;</title>
		<link rel="alternate" type="text/html" href="http://www.colloquiam.com/wd/index.php?title=Sharma_et_al_2025a&amp;diff=321521&amp;oldid=prev"/>
				<updated>2025-07-03T09:56:35Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot; == Abstract ==  &amp;lt;p&amp;gt;The current study uses a novel mathematical formulation of temperaturedependent thermoelastic diffusion with multi-phase delays in a rotating frame of refe...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;p&amp;gt;The current study uses a novel mathematical formulation of temperaturedependent thermoelastic diffusion with multi-phase delays in a rotating frame of reference (TDMR). Higher order time derivatives are included for the diffusing mass flux, the gradient of chemical potential, the gradient of temperature, and the TDMR model of heat flow vector in Fourier&amp;amp;rsquo;s and Fick&amp;amp;rsquo;s laws. The fundamental theorems (energy, uniqueness, reciprocity, and variational criterion) are examined using the preliminary equations for the simulated model TDMR. Reciprocity theorem applications are taken for particular scenarios including body forces, heat sources, and chemical potential sources. It has been noted that the variational criteria and these theorems are mostly influenced by the field variables&amp;amp;rsquo; susceptibility and the variations in the parameters of higher-order temporal derivatives. The two-dimensional example of the assumed model&amp;amp;rsquo;s planar wave propagation is also provided. Four connected longitudinal waves have been identified: the primary (P) wave, secondary (S) wave, thermal (T) wave, and chemical potential (CP) wave. Wave properties such as phase velocity and attenuation coefficient are estimated numerically and displayed visually. A few special examples are also investigated and connected with the established outcomes. This work provides a foundation for further research into basic issues in thermoelastic continua under various physical field factors. Numerous applications in material science, geomechanics, soil dynamics, and the electronic sector can be made of the current findings.OPEN ACCESS Received: 22/02/2025 Accepted: 11/04/2025 Published: 30/06/2025&amp;lt;/p&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Document ==&lt;br /&gt;
&amp;lt;pdf&amp;gt;Media:Draft_Sanchez Pinedo_116516111-5008-document.pdf&amp;lt;/pdf&amp;gt;&lt;/div&gt;</summary>
		<author><name>JSanchez</name></author>	</entry>

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