<div dir="ltr"><br clear="all"><div><div dir="ltr" class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div><br></div></div></div></div></div></div></div></div><div class="gmail_quote"><br><div><p style="text-align:center;clear:both"><img src="cid:bba4334d-4b13-4df5-8074-0427d376e277" alt="SDSU_CSRC Logo.jpg" style="margin-left:1em;margin-right:1em"></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px;text-align:center"><span style="color:black"><font face="verdana, sans-serif"><br></font></span></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px;text-align:center"><span style="color:black"><font face="verdana, sans-serif"><br>DATE:</font></span><font face="verdana, sans-serif"><span style="font-size:10pt;color:black"> </span><span style="font-size:13.5pt;color:black"> <br></span><b><font size="4">Friday, September 18, 2020</font></b></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px;text-align:center"><b><span style="font-size:18pt"><font face="verdana, sans-serif"><br></font></span></b></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px;text-align:center"><font face="verdana, sans-serif"><span style="font-size:10pt;color:black"></span></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px;text-align:center"><span style="color:black"><font face="verdana, sans-serif"><br></font></span></p><div dir="ltr" style="color:rgba(0,0,0,0.87)"><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font face="verdana, sans-serif"><span style="font-size:10pt;color:black"></span></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font face="verdana, sans-serif"><span style="color:black"></span></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font face="verdana, sans-serif"><span style="color:black">TITLE:</span><span style="font-size:10pt;color:black"><br></span></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font face="verdana, sans-serif"><span style="font-size:10pt;color:black"></span></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font size="6" face="verdana, sans-serif"></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font size="6" face="verdana, sans-serif"><b><span style="background-image:none;background-position:0% 0%;background-repeat:repeat"></span></b></font></p><div style="text-align:center"><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal"><span style="color:rgb(0,0,0);text-align:left"><font face="verdana, sans-serif" size="4"><b>An Interdisciplinary View on Vortex Rings: Nature, Physics, Mathematics and Computations</b></font></span><b><font face="verdana, sans-serif" size="4"> </font></b></p></div><div style="font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font face="verdana, sans-serif"><font size="6"><b><br></b></font><font size="6"><b></b></font></font><p class="MsoNormal" style="margin-top:1em;margin-bottom:1em;line-height:normal"><b><font face="verdana, sans-serif"><span style="font-size:11pt;color:black"></span></font></b></p><font face="verdana, sans-serif"><font size="6"><b></b></font><font size="6"><b><span style="font-size:12pt"></span></b></font><font size="6"><b></b></font><font size="6"><b><span style="font-size:11pt"></span></b></font></font></div><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font face="verdana, sans-serif"><span style="color:black"></span></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font face="verdana, sans-serif"><span style="color:black"></span></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><span style="color:black"><font face="verdana, sans-serif"><br></font></span></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font face="verdana, sans-serif"><span style="color:black">TIME:</span><span style="font-size:10pt;color:black"> </span><span style="font-size:13.5pt;color:black"> <br></span><b><font size="4">3:00-4:00PM</font></b></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font face="verdana, sans-serif"><br><b><span style="font-size:18pt"><span style="color:black"></span></span></b></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><span style="font-size:10pt;color:black"><font face="verdana, sans-serif"> </font></span></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;text-align:center"><font style="font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif"><span style="color:black">LOCATION:<br></span><font size="4" style="font-weight:bold"><span style="color:black">Join Zoom Meeting - </span></font></font><a href="https://sdsu.zoom.us/j/91071174391" title="https://SDSU.zoom.us/j/91071174391" target="_blank"><font face="verdana, sans-serif" size="4"><b>https://SDSU.zoom.us/j/91071174391</b></font></a><font style="font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif"><font size="4"><font color="#000000"><br></font></font><span style="font-weight:bold"><font size="4"><br></font></span></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><span style="font-size:10pt;color:black"><font face="verdana, sans-serif"> </font></span></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font face="verdana, sans-serif"><span style="color:black"></span></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font face="verdana, sans-serif"><span style="color:black">SPEAKER/BIO:</span><span style="font-size:13.5pt;color:black"> </span></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;text-align:center"><font face="verdana, sans-serif" size="4"><b>Dr. Ricardo Carretero, Mathematics and Statistics, San Diego State University </b></font> <font face="verdana, sans-serif"><br></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><font size="4" face="verdana, sans-serif"><b><b><span style="font-size:18pt"><span style="color:black"></span></span></b></b></font></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><b><font face="verdana, sans-serif"><span style="font-size:18pt"></span></font></b></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><span style="color:black"><font face="verdana, sans-serif"> </font></span></p><p class="MsoNormal" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif"><font size="2" face="verdana, sans-serif"><span style="color:black"><br></span></font></p><p class="MsoNormal" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif"><font size="2" face="verdana, sans-serif"><span style="color:black"><br></span></font></p><p class="MsoNormal" style="margin-top:1em;margin-bottom:1em;line-height:normal;font-size:14px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;text-align:center"><span style="color:black"><font size="2" face="verdana, sans-serif">ABSTRACT:</font></span></p></div><div dir="ltr" style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px"><font face="verdana, sans-serif"><br></font></div><div><div></div></div><font face="verdana, sans-serif" size="4"><span style="color:rgb(0,0,0)">We will explore the beautiful and complex world of vortex rings. A vortex ring is formed when a vortex line (a "twister") is looped back onto itself creating a close ring that carries vorticity. Vortex rings are commonplace in fluids. For example, in liquids, many species of marine mammals know how to create them, play with them and even use them to catch prey! Smoke rings in gases are also common. In fact not only people can make smoke rings, but volcanoes and chimneys are also at it!</span><br style="color:rgb(0,0,0)"><br style="color:rgb(0,0,0)"></font><div dir="ltr" style="color:rgba(0,0,0,0.87)"><span style="color:rgb(0,0,0)"><font face="verdana, sans-serif" size="4">We will focus on the occurrence of vortex rings in superfluids (fluids without viscosity) described by the nonlinear Schrödinger equation. We showcase some of their phenomenology including, internal excitation waves (Kelvin modes), their mutual interactions, collisions, and scattering scenarios. We also briefly discuss an efficient computational implementation for solving the ensuing partial differential equations using GPU accelerated codes that allow for numerical integration runs of vortex rings in real time!</font></span><font face="verdana, sans-serif" size="4"><span style="color:rgb(34,34,34)"> </span><span style="color:rgb(34,34,34)"> </span></font><span style="font-family:"Times New Roman",serif;color:rgb(34,34,34)"> </span><font face="verdana, sans-serif" size="4"> </font><font face="verdana, sans-serif" size="4"><br></font><font face="verdana, sans-serif"><br></font></div><div dir="ltr" style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px"><font size="4" face="verdana, sans-serif"> <br></font></div><div dir="ltr" style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px"><font size="4" face="verdana, sans-serif"><br></font><p class="MsoNormal" style="margin:0in 5.2pt 0.0001pt 0in;line-height:13.91px"><font face="verdana, sans-serif"><br></font></p><font size="4" face="verdana, sans-serif"></font></div><font face="verdana, sans-serif" style="font-size:14px"><font size="4"><font color="#000000">Host:</font><font color="rgba(0, 0, 0, 0.870588235294118)"> </font><font color="#000000">Jose Castillo</font></font><br></font><div style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px"><font size="4" face="verdana, sans-serif"><br></font></div><div style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px"><p class="MsoNormal" style="margin-top:1em;margin-bottom:1em;line-height:normal"><font face="verdana, sans-serif" size="4"><span style="font-weight:bold">Note:</span><span style="font-weight:bold"> </span>Videos of previous colloquium talks<span style="text-align:center"> can be seen on the CSRC website in the colloquium archive section or on the </span><a href="https://www.youtube.com/channel/UCN0ZEztlmyDqG2pm-Rle_Eg/feed" rel="nofollow" style="color:rgb(26,115,232);text-align:center" target="_blank">CSRC YouTube page here</a><span style="text-align:center">.</span></font></p><p class="MsoNormal" style="margin-top:1em;margin-bottom:1em;line-height:normal"><font face="verdana, sans-serif" size="4"><span style="text-align:center"><br></span></font></p><p class="MsoNormal" style="margin-top:1em;margin-bottom:1em;line-height:normal"><font face="verdana, sans-serif" size="4"><span style="text-align:center"><br></span></font></p><p class="MsoNormal" style="margin-top:1em;margin-bottom:1em;line-height:normal"><font face="verdana, sans-serif" size="4"><span style="text-align:center"><br></span></font></p><p class="MsoNormal" style="margin-top:1em;margin-bottom:1em;line-height:normal"><font face="verdana, sans-serif" size="4"><span style="text-align:center"><br></span></font></p></div></div>
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