Calling an object arraylist from another class and iteration through it

I have a problem accessing the arraylist I created in a class. I tried going through the answers of questions similar to mine but unfortunately I was unable to solve the problem.

So I have two classes Student and Person and I want to iterate through the arraylist of Person in the class Student. (The code doesn't really make sense, I know. I just want to understand).

I tried two approaches :

1) creating a variable of type Person in Student class and calling the get method from person class.

2) creating a get method in the class person that returns arraylist. Both are not working properly when i tried to call the isHere method in the main method.(false was printed instead of true)

I think my two approaches intialise a new array of type Person and not call the arraylist to which elements are already added. How can solve this?

import java.util.ArrayList;

public class Student {
    private Person p;
    private String name;
    private int age;
    private String address;

    public Student() {

    }

    public Student(String name, int age, String address) {
        this.name = name;
        this.age = age;
        this.address = address;
    }

    public boolean isHere(String name) {
        p = new Person();
        // I also tried for(Person per : p.getList)
        for (Person per : this.getL()) {
            if (per.getName().equals(name)) {
                System.out.println("hi");
                return true;
            }
        }
        return false;
    }

    public ArrayList<Person> getL() {
        return p.getList();
    }

    public Person getP() {
        return p;
    }

    public void setP(Person p) {
        this.p = p;
    }

    public String getName() {
        return name;
    }

    public void setName(String name) {
        this.name = name;
    }

    public int getAge() {
        return age;
    }

    public void setAge(int age) {
        this.age = age;
    }

    public String getAddress() {
        return address;
    }

    public void setAddress(String address) {
        this.address = address;
    }

}

The Person class:

import java.util.ArrayList;

public class Person {
    private String name;
    private ArrayList<Person> list = new ArrayList<Person>();

    Person() {

    }

    public Person(String name) {
        this.name = name;
    }

    public String getName() {
        return name;
    }

    public void setName(String name) {
        this.name = name;
    }

    public ArrayList<Person> getList() {
        return list;
    }

    public void setList(ArrayList<Person> list) {
        this.list = list;
    }

    public void add(String name) {
        list.add(new Person(name));
    }
}