$(window).scroll not working correctly on mobile devices and internet explorer

I'm using jQuery-1.10.2 and I am using the function $(window).scroll. The $(window).scroll isn't being executed as I scroll on a mobile device, but rather when my finger releases the screen after scrolling. $(window).scroll is also delayed on IE10.

I use $(window).scroll to make a navbar scroll with the page by changing the css property top: on the position:fixed; navbar. When scrolled down for enough, the navbar ends up sticking to the top of the page as position:fixed. Is there a more compatible alternative to achieve the same results to my navbar? Is there a fix for mobile or IE10?

$(window).scroll(function () {    $('.navbar').css('top', Math.max(0, 350 - $(this).scrollTop()));    var scroll = $(document).scrollTop();});

Here is a fiddle with no images. Look at the navbar. http://jsfiddle.net/93tzq/