Here's an informative link about the difficulties faced, by victims of Domestic Abuse and Violence
Domestic Relations Law Domestic Violence: The Tipping Point

The most widespread and helpful provisions are those that require or strongly encourage courts to assess the dangers posed by domestic or sexual violence and weigh them against the need to preserve the parental rights of the abusive parent.
A few jurisdictions, including those that have fully adopted the Uniform Child Custody Jurisdiction and Enforcement Act, waive notice requirements that might alert an abuser to the victim’s new location. Judicial tools that preserve the confidentiality of the new location can be critical where the other party’s locating the victim has been found to pose a significant safety risk. Many abusers are tenacious and may follow victims across state lines without hesitation if they know where the victim is located. Where allowed by law, courts should consider sealing portions of the case file that provide clues to the victim’s whereabouts.